Detailed Description

template<typename Symmetry, typename MpHamiltonian, typename Scalar = double>
class VumpsSolver< Symmetry, MpHamiltonian, Scalar >

Solver that calculates the ground state of a UMPS. Analogue of the DmrgSolver class.

Template Parameters

Symmetry	: A class providing all relevant functions and infos that are determined by the Symmetry. Click here for more information.
Scalar	: `double` or `complex<double>`

Definition at line 32 of file VumpsSolver.h.

#include <VumpsSolver.h>

Public Member Functions
	VumpsSolver (DMRG::VERBOSITY::OPTION VERBOSITY=DMRG::VERBOSITY::SILENT)

void	set_verbosity (DMRG::VERBOSITY::OPTION VERBOSITY)

DMRG::VERBOSITY::OPTION	get_verbosity ()

void	userSetGlobParam ()

void	userSetDynParam ()

void	userSetLocParam ()

void	edgeState (const MpHamiltonian &H, Eigenstate< Umps< Symmetry, Scalar > > &Vout, qarray< Symmetry::Nq > Qtot, LANCZOS::EDGE::OPTION EDGE=LANCZOS::EDGE::GROUND, bool USE_STATE=false)

const double &	errVar ()

const double &	errState ()

const double &	errEigval ()

Mps< Symmetry, Scalar >	create_Mps (size_t Ncells, const Eigenstate< Umps< Symmetry, Scalar > > &V, const MpHamiltonian &H, size_t x0)

vector< Mps< Symmetry, Scalar > >	create_Mps (size_t Ncells, const Eigenstate< Umps< Symmetry, Scalar > > &V, const MpHamiltonian &H, const Mpo< Symmetry, Scalar > &O, const vector< Mpo< Symmetry, Scalar > > &Omult, double tol_OxV=2.)

Mps< Symmetry, Scalar >	create_Mps (size_t Ncells, const Eigenstate< Umps< Symmetry, Scalar > > &V, const MpHamiltonian &H, const Mpo< Symmetry, Scalar > &O, const Mpo< Symmetry, Scalar > &Omult, double tol_OxV=2.)

void	set_boundary (const Umps< Symmetry, Scalar > &Vin, Mps< Symmetry, Scalar > &Vout, bool LEFT=false, bool RIGHT=true)

void	prepare (const MpHamiltonian &H, Eigenstate< Umps< Symmetry, Scalar > > &Vout, qarray< Symmetry::Nq > Qtot, bool USE_STATE=false)

void	build_cellEnv (const MpHamiltonian &H, const Eigenstate< Umps< Symmetry, Scalar > > &Vout, size_t power=1)

double	get_err_eigval () const

double	get_err_state () const

double	get_err_var () const

void	cleanup (const MpHamiltonian &H, Eigenstate< Umps< Symmetry, Scalar > > &Vout)

void	solve_linear (VMPS::DIRECTION::OPTION gauge, size_t ab, const vector< vector< Biped< Symmetry, MatrixType > > > &A, const Tripod< Symmetry, Matrix< Scalar, Dynamic, Dynamic > > &Y_LR, const Biped< Symmetry, MatrixType > &LReigen, const vector< vector< vector< vector< Biped< Symmetry, SparseMatrix< Scalar > > > > > > &W, const vector< vector< qarray< Symmetry::Nq > > > &qloc, const vector< vector< qarray< Symmetry::Nq > > > &qOp, Scalar LRdotY, const Tripod< Symmetry, Matrix< Scalar, Dynamic, Dynamic > > &LRguess, Tripod< Symmetry, Matrix< Scalar, Dynamic, Dynamic > > &LRres)

void	solve_linear (VMPS::DIRECTION::OPTION DIR, const vector< vector< Biped< Symmetry, MatrixType > > > &A, const Biped< Symmetry, MatrixType > &hLR, const Biped< Symmetry, MatrixType > &LReigen, const vector< vector< qarray< Symmetry::Nq > > > &qloc, Scalar hLRdotLR, Biped< Symmetry, MatrixType > &LRres)

void	set_LanczosTolerances (double &tolLanczosEigval, double &tolLanczosState)

void	calc_errors (const MpHamiltonian &H, const Eigenstate< Umps< Symmetry, Scalar > > &Vout, bool CALC_ERR_STATE=true, VUMPS::TWOSITE_A::OPTION option=VUMPS::TWOSITE_A::ALxAC)

string	test_LReigen (const Eigenstate< Umps< Symmetry, Scalar > > &Vout) const

Mps< Symmetry, Scalar >	assemble_Mps (size_t Ncells, const Umps< Symmetry, Scalar > &V, const vector< vector< Biped< Symmetry, MatrixType > > > &AL, const vector< vector< Biped< Symmetry, MatrixType > > > &AR, const vector< vector< qarray< Symmetry::Nq > > > &qloc_input, const Tripod< Symmetry, MatrixType > &L, const Tripod< Symmetry, MatrixType > &R, int x0)


string	info () const

string	eigeninfo () const

double	memory (MEMUNIT memunit=GB) const

size_t	iterations ()

void	set_log (int N_log_input, string file_e_input, string file_err_eigval_input, string file_err_var_input, string file_err_state_input)


void	prepare_h2site (const TwoSiteHamiltonian &h2site, const vector< qarray< Symmetry::Nq > > &qloc_input, Eigenstate< Umps< Symmetry, Scalar > > &Vout, qarray< Symmetry::Nq > Qtot_input, size_t M, size_t Nqmax, bool USE_STATE=false)

void	iteration_h2site (Eigenstate< Umps< Symmetry, Scalar > > &Vout)


void	iteration_parallel (const MpHamiltonian &H, Eigenstate< Umps< Symmetry, Scalar > > &Vout)

void	iteration_sequential (const MpHamiltonian &H, Eigenstate< Umps< Symmetry, Scalar > > &Vout)


void	build_LR (const vector< vector< Biped< Symmetry, Matrix< Scalar, Dynamic, Dynamic > > > > &AL, const vector< vector< Biped< Symmetry, Matrix< Scalar, Dynamic, Dynamic > > > > &AR, const vector< Biped< Symmetry, Matrix< Scalar, Dynamic, Dynamic > > > &C, const vector< vector< vector< vector< Biped< Symmetry, SparseMatrix< Scalar > > > > > > &W, const vector< vector< qarray< Symmetry::Nq > > > &qloc, const vector< vector< qarray< Symmetry::Nq > > > &qOp, Tripod< Symmetry, MatrixType > &L, Tripod< Symmetry, MatrixType > &R)

void	build_R (const vector< vector< Biped< Symmetry, Matrix< Scalar, Dynamic, Dynamic > > > > &AR, const Biped< Symmetry, Matrix< Scalar, Dynamic, Dynamic > > &Cintercell, const vector< vector< vector< vector< Biped< Symmetry, SparseMatrix< Scalar > > > > > > &W, const vector< vector< qarray< Symmetry::Nq > > > &qloc, const vector< vector< qarray< Symmetry::Nq > > > &qOp, Tripod< Symmetry, MatrixType > &R)

void	build_L (const vector< vector< Biped< Symmetry, Matrix< Scalar, Dynamic, Dynamic > > > > &AL, const Biped< Symmetry, Matrix< Scalar, Dynamic, Dynamic > > &Cintercell, const vector< vector< vector< vector< Biped< Symmetry, SparseMatrix< Scalar > > > > > > &W, const vector< vector< qarray< Symmetry::Nq > > > &qloc, const vector< vector< qarray< Symmetry::Nq > > > &qOp, Tripod< Symmetry, MatrixType > &L)


void	expand_basis (size_t loc, size_t DeltaD, const MpHamiltonian &H, Eigenstate< Umps< Symmetry, Scalar > > &Vout, VUMPS::TWOSITE_A::OPTION option=VUMPS::TWOSITE_A::ALxAC)

void	expand_basis (size_t DeltaD, const MpHamiltonian &H, Eigenstate< Umps< Symmetry, Scalar > > &Vout, VUMPS::TWOSITE_A::OPTION option=VUMPS::TWOSITE_A::ALxAC)

void	expand_basis2 (size_t DeltaD, const MpHamiltonian &H, Eigenstate< Umps< Symmetry, Scalar > > &Vout, VUMPS::TWOSITE_A::OPTION option=VUMPS::TWOSITE_A::ALxAC)


void	calc_B2 (size_t loc, const MpHamiltonian &H, const Umps< Symmetry, Scalar > &Psi, VUMPS::TWOSITE_A::OPTION option, Biped< Symmetry, MatrixType > &B2, vector< Biped< Symmetry, MatrixType > > &NL, vector< Biped< Symmetry, MatrixType > > &NR) const

void	calc_B2 (size_t loc, const MpHamiltonian &H, const Umps< Symmetry, Scalar > &Psi, VUMPS::TWOSITE_A::OPTION option, Biped< Symmetry, MatrixType > &B2) const

Public Attributes
VUMPS::CONTROL::GLOB	GlobParam

VUMPS::CONTROL::DYN	DynParam

VUMPS::CONTROL::LOC	LocParam

bool	FORCE_DO_SOMETHING = false

size_t	N_sites

bool	USER_SET_GLOBPARAM = false

bool	USER_SET_DYNPARAM = false

bool	USER_SET_LOCPARAM = false

size_t	N_iterations =0ul

size_t	N_iterations_without_expansion =0ul

double	err_eigval

double	err_eigval_old

double	err_var

double	err_var_old

double	err_state =std::nan("1")

double	err_state_old =std::nan("1")

vector< PivumpsMatrix1< Symmetry, Scalar, Scalar > >	Heff

vector< PivotMatrix1< Symmetry, Scalar, Scalar > >	HeffA

vector< PivotMatrix1< Symmetry, Scalar, Scalar > >	HeffC

vector< qarray< Symmetry::Nq > >	qloc

TwoSiteHamiltonian	h2site

size_t	D

size_t	M

size_t	dW

size_t	dW_singlet

vector< pair< qarray< Symmetry::Nq >, size_t > >	basis_order

std::unordered_map< pair< qarray< Symmetry::Nq >, size_t >, size_t >	basis_order_map

double	eL

double	eR

double	eoldR

double	eoldL

DMRG::VERBOSITY::OPTION	CHOSEN_VERBOSITY

Tripod< Symmetry, MatrixType >	YLlast

Tripod< Symmetry, MatrixType >	YRfrst

Private Types
typedef Matrix< Scalar, Dynamic, Dynamic >	MatrixType

typedef Matrix< complex< Scalar >, Dynamic, Dynamic >	ComplexMatrixType

typedef Matrix< Scalar, Dynamic, 1 >	VectorType

typedef boost::multi_array< Scalar, 4 >	TwoSiteHamiltonian

double	Eold = std::nan("1")

void	iteration_idmrg (const MpHamiltonian &H, Eigenstate< Umps< Symmetry, Scalar > > &Vout)

void	prepare_idmrg (const MpHamiltonian &H, Eigenstate< Umps< Symmetry, Scalar > > &Vout, qarray< Symmetry::Nq > Qtot, bool USE_STATE=false)

size_t	N_log = 0

string	file_e

string	file_err_eigval

string	file_err_var

string	file_err_state

vector< double >	eL_mem

vector< double >	eR_mem

vector< double >	err_eigval_mem

vector< double >	err_var_mem

vector< double >	err_state_mem

void	write_log (bool FORCE=false)

Member Typedef Documentation

◆ ComplexMatrixType

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

typedef Matrix<complex<Scalar>,Dynamic,Dynamic> VumpsSolver< Symmetry, MpHamiltonian, Scalar >::ComplexMatrixType

private

Definition at line 35 of file VumpsSolver.h.

◆ MatrixType

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

typedef Matrix<Scalar,Dynamic,Dynamic> VumpsSolver< Symmetry, MpHamiltonian, Scalar >::MatrixType

private

Definition at line 34 of file VumpsSolver.h.

◆ TwoSiteHamiltonian

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

typedef boost::multi_array<Scalar,4> VumpsSolver< Symmetry, MpHamiltonian, Scalar >::TwoSiteHamiltonian

private

Definition at line 37 of file VumpsSolver.h.

◆ VectorType

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

typedef Matrix<Scalar,Dynamic,1> VumpsSolver< Symmetry, MpHamiltonian, Scalar >::VectorType

private

Definition at line 36 of file VumpsSolver.h.

Constructor & Destructor Documentation

◆ VumpsSolver()

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

VumpsSolver< Symmetry, MpHamiltonian, Scalar >::VumpsSolver ( DMRG::VERBOSITY::OPTION VERBOSITY = DMRG::VERBOSITY::SILENT )

inline

Definition at line 41 of file VumpsSolver.h.

Member Function Documentation

◆ assemble_Mps()

template<typename Symmetry , typename MpHamiltonian , typename Scalar >

Mps< Symmetry, Scalar > VumpsSolver< Symmetry, MpHamiltonian, Scalar >::assemble_Mps	(	size_t	Ncells,
		const Umps< Symmetry, Scalar > &	V,
		const vector< vector< Biped< Symmetry, MatrixType > > > &	AL,
		const vector< vector< Biped< Symmetry, MatrixType > > > &	AR,
		const vector< vector< qarray< Symmetry::Nq > > > &	qloc_input,
		const Tripod< Symmetry, MatrixType > &	L,
		const Tripod< Symmetry, MatrixType > &	R,
		int	x0
	)

Assembles an Mps from the VUMPS solution with a heterogeneous section and infinite boundary conditions with known environments. This is a low-lever work function that is called from the higher-level create_Mps.

Parameters

Ncells	: amount of cells to generate the heterogeneous section, the total length becomes Lcell*Ncells
V	: converged ground state to generate from
AL	: This left-orthogonal tensor is put into the environment (can contain Jordan-Wigner string)
AR	: This right-orthogonal tensor is put into the environment (can contain quantum number shift)
qloc_input	: This local basis of the unit cell is put into the environment
L	: left environment with the Hamiltonian
R	: right environment with the Hamiltonian
x0	: put the pivot site here

Definition at line 2422 of file VumpsSolver.h.

◆ build_cellEnv()

template<typename Symmetry , typename MpHamiltonian , typename Scalar >

void VumpsSolver< Symmetry, MpHamiltonian, Scalar >::build_cellEnv	(	const MpHamiltonian &	H,
		const Eigenstate< Umps< Symmetry, Scalar > > &	Vout,
		size_t	power = `1`
	)

Builds environments for each site of the unit cell.

Definition at line 1029 of file VumpsSolver.h.

◆ build_L()

template<typename Symmetry , typename MpHamiltonian , typename Scalar >

void VumpsSolver< Symmetry, MpHamiltonian, Scalar >::build_L	(	const vector< vector< Biped< Symmetry, Matrix< Scalar, Dynamic, Dynamic > > > > &	AL,
		const Biped< Symmetry, Matrix< Scalar, Dynamic, Dynamic > > &	Cintercell,
		const vector< vector< vector< vector< Biped< Symmetry, SparseMatrix< Scalar > > > > > > &	W,
		const vector< vector< qarray< Symmetry::Nq > > > &	qloc,
		const vector< vector< qarray< Symmetry::Nq > > > &	qOp,
		Tripod< Symmetry, MatrixType > &	L
	)

Builds the environment of a unit cell.

Definition at line 790 of file VumpsSolver.h.

◆ build_LR()

template<typename Symmetry , typename MpHamiltonian , typename Scalar >

void VumpsSolver< Symmetry, MpHamiltonian, Scalar >::build_LR	(	const vector< vector< Biped< Symmetry, Matrix< Scalar, Dynamic, Dynamic > > > > &	AL,
		const vector< vector< Biped< Symmetry, Matrix< Scalar, Dynamic, Dynamic > > > > &	AR,
		const vector< Biped< Symmetry, Matrix< Scalar, Dynamic, Dynamic > > > &	C,
		const vector< vector< vector< vector< Biped< Symmetry, SparseMatrix< Scalar > > > > > > &	W,
		const vector< vector< qarray< Symmetry::Nq > > > &	qloc,
		const vector< vector< qarray< Symmetry::Nq > > > &	qOp,
		Tripod< Symmetry, MatrixType > &	L,
		Tripod< Symmetry, MatrixType > &	R
	)

Builds the environment of a unit cell.

Definition at line 880 of file VumpsSolver.h.

◆ build_R()

template<typename Symmetry , typename MpHamiltonian , typename Scalar >

void VumpsSolver< Symmetry, MpHamiltonian, Scalar >::build_R	(	const vector< vector< Biped< Symmetry, Matrix< Scalar, Dynamic, Dynamic > > > > &	AR,
		const Biped< Symmetry, Matrix< Scalar, Dynamic, Dynamic > > &	Cintercell,
		const vector< vector< vector< vector< Biped< Symmetry, SparseMatrix< Scalar > > > > > > &	W,
		const vector< vector< qarray< Symmetry::Nq > > > &	qloc,
		const vector< vector< qarray< Symmetry::Nq > > > &	qOp,
		Tripod< Symmetry, MatrixType > &	R
	)

Builds the environment of a unit cell.

Definition at line 835 of file VumpsSolver.h.

◆ calc_B2() [1/2]

template<typename Symmetry , typename MpHamiltonian , typename Scalar >

void VumpsSolver< Symmetry, MpHamiltonian, Scalar >::calc_B2	(	size_t	loc,
		const MpHamiltonian &	H,
		const Umps< Symmetry, Scalar > &	Psi,
		VUMPS::TWOSITE_A::OPTION	option,
		Biped< Symmetry, MatrixType > &	B2
	)		const

A wrapper, if you want to discard the nullspaces when calculating B2.

Definition at line 2162 of file VumpsSolver.h.

◆ calc_B2() [2/2]

template<typename Symmetry , typename MpHamiltonian , typename Scalar >

void VumpsSolver< Symmetry, MpHamiltonian, Scalar >::calc_B2	(	size_t	loc,
		const MpHamiltonian &	H,
		const Umps< Symmetry, Scalar > &	Psi,
		VUMPS::TWOSITE_A::OPTION	option,
		Biped< Symmetry, MatrixType > &	B2,
		vector< Biped< Symmetry, MatrixType > > &	NL,
		vector< Biped< Symmetry, MatrixType > > &	NR
	)		const

Calculates the two-site B-tensor (from double tangent space). It is relevant for orthogonal information in the Umps as well as for the global state error.

Parameters

loc	: Calculate the two-site B-tensor at sites loc and loc+1
H	: Mpo
Vout	: Umps
option	: how to calculate the two-site A-tensor (ALxAC, ARxAC or ALxCxAR)
B2	: The two-site B-tensor as the return value.
NL	: The left nullspace, which is calculated during the routine and returned for later use. (Needed when performing the enrichment)
NR	: You can guess what this is, probably.

Definition at line 2086 of file VumpsSolver.h.

◆ calc_errors()

template<typename Symmetry , typename MpHamiltonian , typename Scalar >

void VumpsSolver< Symmetry, MpHamiltonian, Scalar >::calc_errors	(	const MpHamiltonian &	H,
		const Eigenstate< Umps< Symmetry, Scalar > > &	Vout,
		bool	CALC_ERR_STATE = `true`,
		VUMPS::TWOSITE_A::OPTION	option = `VUMPS::TWOSITE_A::ALxAC`
	)

Calculates the errors.

Definition at line 518 of file VumpsSolver.h.

◆ cleanup()

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

void VumpsSolver< Symmetry, MpHamiltonian, Scalar >::cleanup	(	const MpHamiltonian &	H,
		Eigenstate< Umps< Symmetry, Scalar > > &	Vout
	)

Cleans up after the iteration process.

◆ create_Mps() [1/3]

template<typename Symmetry , typename MpHamiltonian , typename Scalar >

Mps< Symmetry, Scalar > VumpsSolver< Symmetry, MpHamiltonian, Scalar >::create_Mps	(	size_t	Ncells,
		const Eigenstate< Umps< Symmetry, Scalar > > &	V,
		const MpHamiltonian &	H,
		const Mpo< Symmetry, Scalar > &	O,
		const Mpo< Symmetry, Scalar > &	Omult,
		double	tol_OxV = `2.`
	)

Variant of create_Mps without a vector, with a single MPO/MPS.

Definition at line 2339 of file VumpsSolver.h.

◆ create_Mps() [2/3]

template<typename Symmetry , typename MpHamiltonian , typename Scalar >

vector< Mps< Symmetry, Scalar > > VumpsSolver< Symmetry, MpHamiltonian, Scalar >::create_Mps	(	size_t	Ncells,
		const Eigenstate< Umps< Symmetry, Scalar > > &	V,
		const MpHamiltonian &	H,
		const Mpo< Symmetry, Scalar > &	O,
		const vector< Mpo< Symmetry, Scalar > > &	Omult,
		double	tol_OxV = `2.`
	)

Creates an Mps from the VUMPS solution with a heterogeneous section and infinite boundary conditions for a local operator. Already performs mutliplication with the operator. A possible Jordan-Wigner string on the left and a shifted quantum number on the right are absorbed into the environments.

Parameters

Ncells	: amount of cells to generate the heterogeneous section, the total length becomes Lcell*Ncells
V	: converged ground state to generate from
H	: Hamiltonian of the VUMPS ground state, needed to recalculate environment
O	: Operator to get the boundaries from. Should be local, with the excitation centre away from the boundaries.
Omult	: Operator to multiply the state with

Definition at line 2198 of file VumpsSolver.h.

◆ create_Mps() [3/3]

template<typename Symmetry , typename MpHamiltonian , typename Scalar >

Mps< Symmetry, Scalar > VumpsSolver< Symmetry, MpHamiltonian, Scalar >::create_Mps	(	size_t	Ncells,
		const Eigenstate< Umps< Symmetry, Scalar > > &	V,
		const MpHamiltonian &	H,
		size_t	x0
	)

Creates an Mps from the VUMPS solution with a heterogeneous section and infinite boundary conditions.

Parameters

Ncells	: amount of cells to generate the heterogeneous section, the total length becomes Lcell*Ncells
V	: converged ground state to generate from
H	: Hamiltonian of the VUMPS ground state, needed to recalculate environment
x0	: Puts on this site

Definition at line 2170 of file VumpsSolver.h.

◆ edgeState()

template<typename Symmetry , typename MpHamiltonian , typename Scalar >

void VumpsSolver< Symmetry, MpHamiltonian, Scalar >::edgeState	(	const MpHamiltonian &	H,
		Eigenstate< Umps< Symmetry, Scalar > > &	Vout,
		qarray< Symmetry::Nq >	Qtot,
		LANCZOS::EDGE::OPTION	EDGE = `LANCZOS::EDGE::GROUND`,
		bool	USE_STATE = `false`
	)

Calculates the highest or lowest eigenstate with an MPO (algorithm 6).

Definition at line 1784 of file VumpsSolver.h.

◆ eigeninfo()

template<typename Symmetry , typename MpHamiltonian , typename Scalar >

string VumpsSolver< Symmetry, MpHamiltonian, Scalar >::eigeninfo

Prints some info about this class.

Definition at line 391 of file VumpsSolver.h.

◆ errEigval()

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

const double & VumpsSolver< Symmetry, MpHamiltonian, Scalar >::errEigval ( )

inline

Definition at line 91 of file VumpsSolver.h.

◆ errState()

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

const double & VumpsSolver< Symmetry, MpHamiltonian, Scalar >::errState ( )

inline

Definition at line 90 of file VumpsSolver.h.

◆ errVar()

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

const double & VumpsSolver< Symmetry, MpHamiltonian, Scalar >::errVar ( )

inline

Definition at line 89 of file VumpsSolver.h.

◆ expand_basis() [1/2]

template<typename Symmetry , typename MpHamiltonian , typename Scalar >

void VumpsSolver< Symmetry, MpHamiltonian, Scalar >::expand_basis	(	size_t	DeltaD,
		const MpHamiltonian &	H,
		Eigenstate< Umps< Symmetry, Scalar > > &	Vout,
		VUMPS::TWOSITE_A::OPTION	option = `VUMPS::TWOSITE_A::ALxAC`
	)

This function adds orthogonal information to the UMPS and enlarge therewith the bond dimension and the number of symmetry blocks. For information see appendix B in Zauner-Stauber et al. 2018. Just calls expand_basis() for all positions in the unit cell.

Definition at line 2075 of file VumpsSolver.h.

◆ expand_basis() [2/2]

template<typename Symmetry , typename MpHamiltonian , typename Scalar >

void VumpsSolver< Symmetry, MpHamiltonian, Scalar >::expand_basis	(	size_t	loc,
		size_t	DeltaD,
		const MpHamiltonian &	H,
		Eigenstate< Umps< Symmetry, Scalar > > &	Vout,
		VUMPS::TWOSITE_A::OPTION	option = `VUMPS::TWOSITE_A::ALxAC`
	)

This function adds orthogonal information to the UMPS in the unit cell at site loc and enlarge therewith the bond dimension and the number of symmetry blocks. For information see appendix B in Zauner-Stauber et al. 2018.

Definition at line 1981 of file VumpsSolver.h.

◆ expand_basis2()

template<typename Symmetry , typename MpHamiltonian , typename Scalar >

void VumpsSolver< Symmetry, MpHamiltonian, Scalar >::expand_basis2	(	size_t	DeltaD,
		const MpHamiltonian &	H,
		Eigenstate< Umps< Symmetry, Scalar > > &	Vout,
		VUMPS::TWOSITE_A::OPTION	option = `VUMPS::TWOSITE_A::ALxAC`
	)

This function adds orthogonal information to the UMPS in the unit cell at site loc and enlarge therewith the bond dimension and the number of symmetry blocks. For information see appendix B in Zauner-Stauber et al. 2018.

Definition at line 2518 of file VumpsSolver.h.

◆ get_err_eigval()

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

double VumpsSolver< Symmetry, MpHamiltonian, Scalar >::get_err_eigval ( ) const

inline

Definition at line 131 of file VumpsSolver.h.

◆ get_err_state()

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

double VumpsSolver< Symmetry, MpHamiltonian, Scalar >::get_err_state ( ) const

inline

Definition at line 132 of file VumpsSolver.h.

◆ get_err_var()

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

double VumpsSolver< Symmetry, MpHamiltonian, Scalar >::get_err_var ( ) const

inline

Definition at line 133 of file VumpsSolver.h.

◆ get_verbosity()

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

DMRG::VERBOSITY::OPTION VumpsSolver< Symmetry, MpHamiltonian, Scalar >::get_verbosity ( )

inline

Returnx the verbosity level.

Definition at line 49 of file VumpsSolver.h.

◆ info()

template<typename Symmetry , typename MpHamiltonian , typename Scalar >

string VumpsSolver< Symmetry, MpHamiltonian, Scalar >::info

Prints some info about this class.

Definition at line 380 of file VumpsSolver.h.

◆ iteration_h2site()

template<typename Symmetry , typename MpHamiltonian , typename Scalar >

void VumpsSolver< Symmetry, MpHamiltonian, Scalar >::iteration_h2site ( Eigenstate< Umps< Symmetry, Scalar > > & Vout )

Performs an iteration with 1-site unit cell. Used with an explicit 2-site Hamiltonian.

Warning: : This function is not implemented for SU(2).

Definition at line 1539 of file VumpsSolver.h.

◆ iteration_idmrg()

template<typename Symmetry , typename MpHamiltonian , typename Scalar >

void VumpsSolver< Symmetry, MpHamiltonian, Scalar >::iteration_idmrg	(	const MpHamiltonian &	H,
		Eigenstate< Umps< Symmetry, Scalar > > &	Vout
	)

Performs an IDMRG iteration with a 2-site unit cell.

Warning: : This function is not implemented for SU(2).

Definition at line 1649 of file VumpsSolver.h.

◆ iteration_parallel()

template<typename Symmetry , typename MpHamiltonian , typename Scalar >

void VumpsSolver< Symmetry, MpHamiltonian, Scalar >::iteration_parallel	(	const MpHamiltonian &	H,
		Eigenstate< Umps< Symmetry, Scalar > > &	Vout
	)

Performs an iteration with an n-site unit cell (in parallel, algorithm 3). Used with an MPO.

Definition at line 1100 of file VumpsSolver.h.

◆ iteration_sequential()

template<typename Symmetry , typename MpHamiltonian , typename Scalar >

void VumpsSolver< Symmetry, MpHamiltonian, Scalar >::iteration_sequential	(	const MpHamiltonian &	H,
		Eigenstate< Umps< Symmetry, Scalar > > &	Vout
	)

Performs an iteration with an n-site unit cell (sequentially, algorithm 4). Used with an MPO.

Definition at line 1351 of file VumpsSolver.h.

◆ iterations()

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

size_t VumpsSolver< Symmetry, MpHamiltonian, Scalar >::iterations ( )

inline

Prints some info about this class.

Definition at line 70 of file VumpsSolver.h.

◆ memory()

template<typename Symmetry , typename MpHamiltonian , typename Scalar >

double VumpsSolver< Symmetry, MpHamiltonian, Scalar >::memory ( MEMUNIT memunit = GB ) const

Calculates the (theoretically) allocated memory (note: by default in GB).

Definition at line 407 of file VumpsSolver.h.

◆ prepare()

template<typename Symmetry , typename MpHamiltonian , typename Scalar >

void VumpsSolver< Symmetry, MpHamiltonian, Scalar >::prepare	(	const MpHamiltonian &	H,
		Eigenstate< Umps< Symmetry, Scalar > > &	Vout,
		qarray< Symmetry::Nq >	Qtot,
		bool	USE_STATE = `false`
	)

Prepares the class setting up the environments. Used with an Mpo.

Definition at line 608 of file VumpsSolver.h.

◆ prepare_h2site()

template<typename Symmetry , typename MpHamiltonian , typename Scalar >

void VumpsSolver< Symmetry, MpHamiltonian, Scalar >::prepare_h2site	(	const TwoSiteHamiltonian &	h2site,
		const vector< qarray< Symmetry::Nq > > &	qloc_input,
		Eigenstate< Umps< Symmetry, Scalar > > &	Vout,
		qarray< Symmetry::Nq >	Qtot_input,
		size_t	M,
		size_t	Nqmax,
		bool	USE_STATE = `false`
	)

Prepares the class, setting up the environments. Used with an explicit 2-site Hamiltonian.

Definition at line 565 of file VumpsSolver.h.

◆ prepare_idmrg()

template<typename Symmetry , typename MpHamiltonian , typename Scalar >

void VumpsSolver< Symmetry, MpHamiltonian, Scalar >::prepare_idmrg	(	const MpHamiltonian &	H,
		Eigenstate< Umps< Symmetry, Scalar > > &	Vout,
		qarray< Symmetry::Nq >	Qtot,
		bool	USE_STATE = `false`
	)

Prepares the class, setting up the environments for IDMRG.

Definition at line 744 of file VumpsSolver.h.

◆ set_boundary()

template<typename Symmetry , typename MpHamiltonian , typename Scalar >

void VumpsSolver< Symmetry, MpHamiltonian, Scalar >::set_boundary	(	const Umps< Symmetry, Scalar > &	Vin,
		Mps< Symmetry, Scalar > &	Vout,
		bool	LEFT = `false`,
		bool	RIGHT = `true`
	)

Definition at line 2471 of file VumpsSolver.h.

◆ set_LanczosTolerances()

template<typename Symmetry , typename MpHamiltonian , typename Scalar >

void VumpsSolver< Symmetry, MpHamiltonian, Scalar >::set_LanczosTolerances	(	double &	tolLanczosEigval,
		double &	tolLanczosState
	)

Sets the Lanczos tolerances adaptively, depending on the current errors.

Definition at line 492 of file VumpsSolver.h.

◆ set_log()

template<typename Symmetry , typename MpHamiltonian , typename Scalar >

void VumpsSolver< Symmetry, MpHamiltonian, Scalar >::set_log	(	int	N_log_input,
		string	file_e_input,
		string	file_err_eigval_input,
		string	file_err_var_input,
		string	file_err_state_input
	)

Setup a logfile of the iterations.

Parameters

N_log_input	: save the log every `N_log_input` half-sweeps
file_e_input	: file for the ground-state energy in the format [min(eL,eR), eL, eR]
file_err_eigval_input	: file for the energy error
file_err_var_input	: file for the variational error
file_err_state_input	: file for the global state error

Definition at line 426 of file VumpsSolver.h.

◆ set_verbosity()

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

void VumpsSolver< Symmetry, MpHamiltonian, Scalar >::set_verbosity ( DMRG::VERBOSITY::OPTION VERBOSITY )

inline

Resets the verbosity level.

Definition at line 46 of file VumpsSolver.h.

◆ solve_linear() [1/2]

template<typename Symmetry , typename MpHamiltonian , typename Scalar >

void VumpsSolver< Symmetry, MpHamiltonian, Scalar >::solve_linear	(	VMPS::DIRECTION::OPTION	DIR,
		const vector< vector< Biped< Symmetry, MatrixType > > > &	A,
		const Biped< Symmetry, MatrixType > &	hLR,
		const Biped< Symmetry, MatrixType > &	LReigen,
		const vector< vector< qarray< Symmetry::Nq > > > &	qloc,
		Scalar	hLRdotLR,
		Biped< Symmetry, MatrixType > &	LRres
	)

Solves the linear system (eq. 15) using GMRES.

Parameters

DIR	: L or R
A	: contracted A-tensor of the cell
hLR	: (h_L\|, \|h_R) for eq. 15
LReigen	: (L\| or \|R)
qloc	: local basis
hLRdotLR	: (h_L\|R), (L\|h_R) for eq. 15
LRres	: resulting (H_L\| or \|H_R)

Definition at line 1943 of file VumpsSolver.h.

◆ solve_linear() [2/2]

template<typename Symmetry , typename MpHamiltonian , typename Scalar >

void VumpsSolver< Symmetry, MpHamiltonian, Scalar >::solve_linear	(	VMPS::DIRECTION::OPTION	gauge,
		size_t	ab,
		const vector< vector< Biped< Symmetry, MatrixType > > > &	A,
		const Tripod< Symmetry, Matrix< Scalar, Dynamic, Dynamic > > &	Y_LR,
		const Biped< Symmetry, MatrixType > &	LReigen,
		const vector< vector< vector< vector< Biped< Symmetry, SparseMatrix< Scalar > > > > > > &	W,
		const vector< vector< qarray< Symmetry::Nq > > > &	qloc,
		const vector< vector< qarray< Symmetry::Nq > > > &	qOp,
		Scalar	LRdotY,
		const Tripod< Symmetry, Matrix< Scalar, Dynamic, Dynamic > > &	LRguess,
		Tripod< Symmetry, Matrix< Scalar, Dynamic, Dynamic > > &	LRres
	)

Solves the linear system (eq. C25ab) using GMRES.

Parameters

gauge	: L or R
ab	: fixed index `a` (rows) or `b` (cols)
A	: contracted A-tensor of the cell
Y_LR	: \|Y_Ra), (Y_La\| for eq. C25ab
LReigen	: (L\| or \|R)
W	: Mpo tensor for the transfer matrix
qloc	: local basis
qOp	: operator basis
LRdotY	: (Y_La\|R), (L\|Y_Ra) for eq. C25ab
LRguess	: the starting guess for the linear solver
LRres	: resulting (H_L\| or \|H_R)

Definition at line 1908 of file VumpsSolver.h.

◆ test_LReigen()

template<typename Symmetry , typename MpHamiltonian , typename Scalar >

string VumpsSolver< Symmetry, MpHamiltonian, Scalar >::test_LReigen ( const Eigenstate< Umps< Symmetry, Scalar > > & Vout ) const

Tests if $C \cdot C^{\dagger}$ and $C^{\dagger} \cdot C$ are the eigenvectors of the transfer matrices.

Definition at line 1763 of file VumpsSolver.h.

◆ userSetDynParam()

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

void VumpsSolver< Symmetry, MpHamiltonian, Scalar >::userSetDynParam ( )

inline

Definition at line 53 of file VumpsSolver.h.

◆ userSetGlobParam()

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

void VumpsSolver< Symmetry, MpHamiltonian, Scalar >::userSetGlobParam ( )

inline

Definition at line 52 of file VumpsSolver.h.

◆ userSetLocParam()

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

void VumpsSolver< Symmetry, MpHamiltonian, Scalar >::userSetLocParam ( )

inline

Definition at line 54 of file VumpsSolver.h.

◆ write_log()

template<typename Symmetry , typename MpHamiltonian , typename Scalar >

void VumpsSolver< Symmetry, MpHamiltonian, Scalar >::write_log ( bool FORCE = false )

Function to write out the logfiles.

Parameters

FORCE : if true, forced write without checking any conditions

Definition at line 442 of file VumpsSolver.h.

Member Data Documentation

◆ basis_order

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

vector<pair<qarray<Symmetry::Nq>,size_t> > VumpsSolver< Symmetry, MpHamiltonian, Scalar >::basis_order

Basis order of the Mpo auxiliary basis which leads to a triangular Mpo form. The basis order is computed in MpoTerms and is only stored here.

Definition at line 273 of file VumpsSolver.h.

◆ basis_order_map

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

std::unordered_map<pair<qarray<Symmetry::Nq>,size_t>,size_t> VumpsSolver< Symmetry, MpHamiltonian, Scalar >::basis_order_map

Definition at line 274 of file VumpsSolver.h.

◆ CHOSEN_VERBOSITY

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

DMRG::VERBOSITY::OPTION VumpsSolver< Symmetry, MpHamiltonian, Scalar >::CHOSEN_VERBOSITY

control of verbosity and algorithms

Definition at line 322 of file VumpsSolver.h.

◆ D

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

size_t VumpsSolver< Symmetry, MpHamiltonian, Scalar >::D

bond dimension per subspace, bond dimension per site, Mpo bond dimension, Mpo bond dimension in the singlet sector

Definition at line 270 of file VumpsSolver.h.

◆ dW

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

size_t VumpsSolver< Symmetry, MpHamiltonian, Scalar >::dW

Definition at line 270 of file VumpsSolver.h.

◆ dW_singlet

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

size_t VumpsSolver< Symmetry, MpHamiltonian, Scalar >::dW_singlet

Definition at line 270 of file VumpsSolver.h.

◆ DynParam

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

VUMPS::CONTROL::DYN VumpsSolver< Symmetry, MpHamiltonian, Scalar >::DynParam

Definition at line 57 of file VumpsSolver.h.

◆ eL

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

double VumpsSolver< Symmetry, MpHamiltonian, Scalar >::eL

left and right error (eq. 18) and old errors from previous half-sweep

Definition at line 277 of file VumpsSolver.h.

◆ eL_mem

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

vector<double> VumpsSolver< Symmetry, MpHamiltonian, Scalar >::eL_mem

log data

Definition at line 348 of file VumpsSolver.h.

◆ Eold

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

double VumpsSolver< Symmetry, MpHamiltonian, Scalar >::Eold = std::nan("1")

old energy for comparison in IDMRG.

Definition at line 170 of file VumpsSolver.h.

◆ eoldL

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

double VumpsSolver< Symmetry, MpHamiltonian, Scalar >::eoldL

Definition at line 277 of file VumpsSolver.h.

◆ eoldR

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

double VumpsSolver< Symmetry, MpHamiltonian, Scalar >::eoldR

Definition at line 277 of file VumpsSolver.h.

◆ eR

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

double VumpsSolver< Symmetry, MpHamiltonian, Scalar >::eR

Definition at line 277 of file VumpsSolver.h.

◆ eR_mem

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

vector<double> VumpsSolver< Symmetry, MpHamiltonian, Scalar >::eR_mem

Save log every N_log optimization steps.

Definition at line 348 of file VumpsSolver.h.

◆ err_eigval

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

double VumpsSolver< Symmetry, MpHamiltonian, Scalar >::err_eigval

errors

Definition at line 252 of file VumpsSolver.h.

◆ err_eigval_mem

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

vector<double> VumpsSolver< Symmetry, MpHamiltonian, Scalar >::err_eigval_mem

Save log every N_log optimization steps.

Definition at line 348 of file VumpsSolver.h.

◆ err_eigval_old

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

double VumpsSolver< Symmetry, MpHamiltonian, Scalar >::err_eigval_old

Definition at line 252 of file VumpsSolver.h.

◆ err_state

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

double VumpsSolver< Symmetry, MpHamiltonian, Scalar >::err_state =std::nan("1")

Definition at line 252 of file VumpsSolver.h.

◆ err_state_mem

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

vector<double> VumpsSolver< Symmetry, MpHamiltonian, Scalar >::err_state_mem

Save log every N_log optimization steps.

Definition at line 348 of file VumpsSolver.h.

◆ err_state_old

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

double VumpsSolver< Symmetry, MpHamiltonian, Scalar >::err_state_old =std::nan("1")

Definition at line 252 of file VumpsSolver.h.

◆ err_var

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

double VumpsSolver< Symmetry, MpHamiltonian, Scalar >::err_var

Definition at line 252 of file VumpsSolver.h.

◆ err_var_mem

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

vector<double> VumpsSolver< Symmetry, MpHamiltonian, Scalar >::err_var_mem

Save log every N_log optimization steps.

Definition at line 348 of file VumpsSolver.h.

◆ err_var_old

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

double VumpsSolver< Symmetry, MpHamiltonian, Scalar >::err_var_old

Definition at line 252 of file VumpsSolver.h.

◆ file_e

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

string VumpsSolver< Symmetry, MpHamiltonian, Scalar >::file_e

log filenames

Definition at line 345 of file VumpsSolver.h.

◆ file_err_eigval

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

string VumpsSolver< Symmetry, MpHamiltonian, Scalar >::file_err_eigval

Save log every N_log optimization steps.

Definition at line 345 of file VumpsSolver.h.

◆ file_err_state

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

string VumpsSolver< Symmetry, MpHamiltonian, Scalar >::file_err_state

Save log every N_log optimization steps.

Definition at line 345 of file VumpsSolver.h.

◆ file_err_var

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

string VumpsSolver< Symmetry, MpHamiltonian, Scalar >::file_err_var

Save log every N_log optimization steps.

Definition at line 345 of file VumpsSolver.h.

◆ FORCE_DO_SOMETHING

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

bool VumpsSolver< Symmetry, MpHamiltonian, Scalar >::FORCE_DO_SOMETHING = false

Definition at line 93 of file VumpsSolver.h.

◆ GlobParam

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

VUMPS::CONTROL::GLOB VumpsSolver< Symmetry, MpHamiltonian, Scalar >::GlobParam

Definition at line 56 of file VumpsSolver.h.

◆ h2site

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

TwoSiteHamiltonian VumpsSolver< Symmetry, MpHamiltonian, Scalar >::h2site

stored 2-site Hamiltonian

Definition at line 267 of file VumpsSolver.h.

◆ Heff

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

vector<PivumpsMatrix1<Symmetry,Scalar,Scalar> > VumpsSolver< Symmetry, MpHamiltonian, Scalar >::Heff

environment for the 2-site Hamiltonian version

Definition at line 255 of file VumpsSolver.h.

◆ HeffA

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

vector<PivotMatrix1<Symmetry,Scalar,Scalar> > VumpsSolver< Symmetry, MpHamiltonian, Scalar >::HeffA

environment of AL and AR for the Mpo version

Definition at line 258 of file VumpsSolver.h.

◆ HeffC

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

vector<PivotMatrix1<Symmetry,Scalar,Scalar> > VumpsSolver< Symmetry, MpHamiltonian, Scalar >::HeffC

environment of C for the Mpo version

Definition at line 261 of file VumpsSolver.h.

◆ LocParam

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

VUMPS::CONTROL::LOC VumpsSolver< Symmetry, MpHamiltonian, Scalar >::LocParam

Definition at line 58 of file VumpsSolver.h.

◆ M

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

size_t VumpsSolver< Symmetry, MpHamiltonian, Scalar >::M

Definition at line 270 of file VumpsSolver.h.

◆ N_iterations

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

size_t VumpsSolver< Symmetry, MpHamiltonian, Scalar >::N_iterations =0ul

keeping track of iterations

Definition at line 249 of file VumpsSolver.h.

◆ N_iterations_without_expansion

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

size_t VumpsSolver< Symmetry, MpHamiltonian, Scalar >::N_iterations_without_expansion =0ul

Definition at line 249 of file VumpsSolver.h.

◆ N_log

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

size_t VumpsSolver< Symmetry, MpHamiltonian, Scalar >::N_log = 0

Save log every N_log optimization steps.

Definition at line 342 of file VumpsSolver.h.

◆ N_sites

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

size_t VumpsSolver< Symmetry, MpHamiltonian, Scalar >::N_sites

chain length

Definition at line 242 of file VumpsSolver.h.

◆ qloc

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

vector<qarray<Symmetry::Nq> > VumpsSolver< Symmetry, MpHamiltonian, Scalar >::qloc

local base

Definition at line 264 of file VumpsSolver.h.

◆ USER_SET_DYNPARAM

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

bool VumpsSolver< Symmetry, MpHamiltonian, Scalar >::USER_SET_DYNPARAM = false

Definition at line 245 of file VumpsSolver.h.

◆ USER_SET_GLOBPARAM

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

bool VumpsSolver< Symmetry, MpHamiltonian, Scalar >::USER_SET_GLOBPARAM = false

Definition at line 244 of file VumpsSolver.h.

◆ USER_SET_LOCPARAM

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

bool VumpsSolver< Symmetry, MpHamiltonian, Scalar >::USER_SET_LOCPARAM = false

Definition at line 246 of file VumpsSolver.h.

◆ YLlast

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

Tripod<Symmetry,MatrixType> VumpsSolver< Symmetry, MpHamiltonian, Scalar >::YLlast

saved $Y_{L_{0}}$ , see eq. (C26), (C27)

Definition at line 332 of file VumpsSolver.h.

◆ YRfrst

template<typename Symmetry , typename MpHamiltonian , typename Scalar = double>

Tripod<Symmetry,MatrixType> VumpsSolver< Symmetry, MpHamiltonian, Scalar >::YRfrst

saved $Y_{R_{dW-1}}$ , see eq. (C26), (C27)

Definition at line 335 of file VumpsSolver.h.

The documentation for this class was generated from the following files:

Detailed Description

Public Member Functions

Public Attributes

Private Types

Member Typedef Documentation

◆ ComplexMatrixType

◆ MatrixType

◆ TwoSiteHamiltonian

◆ VectorType

Constructor & Destructor Documentation

◆ VumpsSolver()

Member Function Documentation

◆ assemble_Mps()

◆ build_cellEnv()

◆ build_L()

◆ build_LR()

◆ build_R()

◆ calc_B2() [1/2]

◆ calc_B2() [2/2]

◆ calc_errors()

◆ cleanup()

◆ create_Mps() [1/3]

◆ create_Mps() [2/3]

◆ create_Mps() [3/3]

◆ edgeState()

◆ eigeninfo()

◆ errEigval()

◆ errState()

◆ errVar()

◆ expand_basis() [1/2]

◆ expand_basis() [2/2]

◆ expand_basis2()

◆ get_err_eigval()

◆ get_err_state()

◆ get_err_var()

◆ get_verbosity()

◆ info()

◆ iteration_h2site()

◆ iteration_idmrg()

◆ iteration_parallel()

◆ iteration_sequential()

◆ iterations()

◆ memory()

◆ prepare()

◆ prepare_h2site()

◆ prepare_idmrg()

◆ set_boundary()

◆ set_LanczosTolerances()

◆ set_log()

◆ set_verbosity()

◆ solve_linear() [1/2]

◆ solve_linear() [2/2]

◆ test_LReigen()

◆ userSetDynParam()

◆ userSetGlobParam()

◆ userSetLocParam()

◆ write_log()

Member Data Documentation

◆ basis_order

◆ basis_order_map

◆ CHOSEN_VERBOSITY

◆ D

◆ dW

◆ dW_singlet

◆ DynParam

◆ eL

◆ eL_mem

◆ Eold

◆ eoldL

◆ eoldR

◆ eR

◆ eR_mem

◆ err_eigval

◆ err_eigval_mem

◆ err_eigval_old

◆ err_state

◆ err_state_mem

◆ err_state_old

◆ err_var

◆ err_var_mem