syten::T3N Namespace Reference

Namespace for T3N. More...

Namespaces
namespace	DMRG
	DMRG specific data structures and classes.
namespace	Lat
	Contains all lattice generators.
namespace	RandomState
	Generators for random states.
namespace	RDMs
	A namespace containing reduced density matrices.
namespace	TDVP
	T3N TDVP Implementation.

Classes
struct	Lattice
	T3N lattice. More...
class	MutualInformation
class	Operator
	A T3N operator. More...
class	QcLatticeGenerator
class	State
struct	T3NTensor
	Wrapper class for STensor & SBasis. More...
class	VarationalTrunc
	Helper to variationally truncate a T3NS. More...

Typedefs
using	DMRGMode = syten::DMRG::DMRGMode
using	DMRGStage = syten::DMRG::DMRGStage
using	IterDirection = syten::T3N::Tree::IterDirection
using	LegType = syten::T3N::Tree::LegType
using	NodeType = syten::T3N::Tree::NodeType
using	SBasis = syten::STensorImpl::SBasis
using	STensorProxy = STensorImpl::STensorProxy
using	TransformationType = syten::BasisTransformation::TransformationType

Functions
void	addScaled (State &a, State const &b, SDef const s)
	Adds a T3NS b, scaled by the scalar prefactor s to a T3NS a. More...
SRDef	apply_op_itrunc (State &a, Operator const &op, Truncation const &trunc)
	Applied the T3NO op to the T3NS a and immediately truncates during application. More...
SRDef	apply_op_itrunc_rec (State &state, State::Ptrc a, Operator::cPtrc op, Truncation const &t)
	Recursive helper function. More...
template<typename Iterator = int>
std::tuple< State, SRDef >	apply_op_orthogonalise_fit (State const &, Operator const &, Truncation const &, SRDef, Index=12, Index=2, State=State(), Iterator=0, Iterator=0)
	Dummy implementation for certain Krylov modes. More...
SRDef	apply_operator_itrunc (State::Ptrc a, Operator::cPtrc o, Truncation t)
	Applies operator to state and truncates. More...
std::vector< SRDef >	block_entropies (State &state, bool const, SRDef const alpha=1.)
	SMPS overload, which gives back vector. More...
std::map< std::vector< Index >, SRDef >	block_entropies (State &state, SRDef const alpha=1.)
	Calculates all block entropies and returns them. More...
void	block_entropies_rec (std::map< std::vector< Index >, SRDef > &entropies, Vec< Index > &pos, State::Ptrc p, SRDef const &alpha)
	Recursive helper. More...
bool	checkRank (STensor const &t, Index expected)
	Compares run-time rank to expected. More...
bool	checkRank (T3NTensor const &t, Index expected)
	Compares run-time rank to expected. More...
Operator	dagger (Operator const &a)
	Daggers operator. More...
void	dagger_rec (Operator::Ptr p)
	Recursive helper. More...
Operator	dot (Operator const &a, Operator const &b, Sector const &target)
	Scalar product of two operators, w/out explicit quantum number declaration. More...
void	dot_rec (Operator::Ptrc tptr, Operator::cPtrc const bptr, Sector const &target)
	Dot operator recursive helper. More...
SRDef	entropy (STensor rho)
	Calculates entropy of density matrix. More...
SDef	expectation (State const &a, Operator const &op)
	Returns the expectation value of an operator wrt a state. More...
SDef	expectation (State const &a, Operator const &op, State const &b)
	Returns the expectation value of an operator between two states as \( \langle b | \left( \hat O | a \rangle \right) \). More...
STensor	expectation_rec (State::cPtrc const aptr, Operator::cPtrc const optr, State::cPtrc const bptr)
	Returns the partial contraction of tensors below (and including) the supplied pointers. More...
STensor	genBranchCmp (SBasis const &a_basis, SBasis const &b_basis, SBasis const &r_basis)
	Generates an local operator in a T3N network matching the specified basis for a branching Node. More...
std::tuple< STensor, SBasisId >	genBranchId (SBasis const &a_basis, SBasis const &b_basis)
	Generates an identity local operator in a T3N network for a physical Node. More...
Lattice::Types	genDMFT_CT3N (Index num_bases, Index const &sites, Index const &bands, std::vector< Index > const &types)
	Creats a multi band forklike T3N DMFT lattice where impurities are on a chain. More...
Lattice::Types	genDMFT_FT3N (Index num_bases, Index const &sites, Index const &bands, std::vector< Index > const &types)
	Creats a multi band Fork T3N DMFT lattice. More...
Lattice::Types	genDMFT_FT3N_ph (Index num_bases, Index const &sites, Index const &bands, std::vector< Index > const &types, Index const &particle_num)
	Creats a multi band Fork T3N DMFT lattice with PH split. More...
Lattice::Types	genDMFT_MT3N (Index num_bases, Index const &sites, Index const &bands, std::vector< Index > const &types, std::vector< Index > const &bath_length)
	Creats a multi band minimal branching node Fork T3N DMFT lattice. More...
void	genDMFT_rec (Lattice::Phys::Ptr ptr, Index current_imps, Index imp_type, Index const imps, Vec< Index > &currentPosition, Lattice::Translator &trans, Index &currentSite, Index offset)
	Recursive helper for DMFT lattices. More...
Lattice::Types	genDMFT_SMP (Index num_bases, Index const &sites, Index const &bands, std::vector< Index > const &pos_imp, std::vector< Index > const &types)
	Creats a multi band MP DMFT lattice. More...
Lattice::Types	genDMFT_T3N (Index num_bases, Index const &sites, Index const &bands, std::vector< Index > const &types)
	Creats a multi band uniform DMFT lattice. More...
Lattice::Types	genMPS (Index const sites, Index const value=0)
	Generates MPS structure on Tree framework. More...
Lattice::Types	genPH_split (Index const particle_num, Index const hole_num, Index const value, NodeType nt)
	Generates a PH split MPS like structure on Tree framework. More...
Lattice::Types	genPhys (std::string_view const skelleton_, Lattice::Translator translator_, Index const value=0)
	Builds BasisTree from skelleton and Basis. More...
STensor	genPhysCmp (SBasis const &p_basis, SBasis const &a_basis, SBasis const &r_basis)
	Generates an local operator in a T3N network matching the specified basis for a physical Node. More...
Tensor< 4 >	genPhysId (Basis const &p_basis, Basis const &a_basis)
	Overload for Tensor. More...
std::tuple< STensor, SBasisId >	genPhysId (SBasis const &p_basis, SBasis const &a_basis)
	Generates an identity local operator in a T3N network for a physical Node. More...
Lattice::Types	genStandard (Index const layers, Index const value=0, NodeType nt=NodeType::Physical)
	Generates a standard (translationary invariant) basis tree with a Physical Node followed by a Branching Node, followed by two Physical Nodes, etc. More...
void	genStandard_rec (Lattice::Types::Ptr ptr, Index const currentLayer, Index const layers, Vec< Index > &currentPosition, Lattice::Translator &trans, Index &currentSite, Index const &value)
	Recursive helper. More...
Lattice::Types	genUniformPhys (Index const sites, Index const value=0, NodeType nt=NodeType::Physical)
	Generates the same for number of nodes. More...
Index	invert (Lattice::Translator const &trans, Tree::Position const &pos)
	Searches for the Index when given the position. More...
SRDef	norm (Operator const &op)
	Computes norm of operator. More...
SRDef	norm (State const &a)
	Returns the norm \( \sqrt{\langle a | a \rangle}\) of a state. More...
SRDef	normSqd (State const &a)
	Returns the squared norm \( \langle a | a \rangle\) of a state. More...
SRDef	oneSiteEntropy (State &state, Index const site)
	Calculates single-site entropy. More...
Operator	operator* (Operator const &a, Operator const &b)
	Product of two T3NO, \( \hat r = \hat b \hat a \), i.e. b is applied after a if r is applied to a state. More...
Operator	operator* (Operator const &a, SDef const b)
	Scale a T3NO by a scalar, \( \hat r = b \hat a \). More...
Operator	operator* (SDef const b, Operator const &a)
	Scale a T3NO by a scalar, \( \hat r = b \hat a \) More...
State	operator* (SDef const c, State const &s)
	Multiplies const and state. More...
State	operator* (State const &s, SDef const c)
	Multiplies state and const. More...
State	operator* (State const &state, Operator const &op)
	Acts w/ op on state. More...
Operator &	operator*= (Operator &o, SDef const c)
	Product of a scalar and an operator, \( c \hat O \). More...
State &	operator*= (State &s, SDef const c)
	Multiplies s by the scalar c More...
Operator	operator+ (Operator const &a, Operator const &b)
	Sum of two T3NO, \( \hat r = \hat b + \hat a \) More...
State	operator+ (State const &a, State const &b)
	Sum of two T3NS, \( |r\rangle = |b\rangle + |a\rangle \) More...
Operator	operator- (Operator const &a, Operator const &b)
	Difference of two operators, \( \hat r = \hat a - \hat b \). More...
State	operator- (State const &a, State const &b)
	Negates state. More...
Operator	operator/ (Operator const &op, SDef const c)
	Divides by a const. More...
State	operator/ (State const &s, SDef const c)
	Divides by const. More...
Operator &	operator/= (Operator &op, SDef const c)
	Divides by a const. More...
State &	operator/= (State &s, SDef const c)
	Divides by const. More...
std::ostream &	operator<< (std::ostream &out, Lattice const &l)
	Output for a lattice. More...
std::ostream &	operator<< (std::ostream &out, Operator const &op)
std::ostream &	operator<< (std::ostream &out, T3N::State const &state)
	Output a T3NS. More...
std::ostream &	operator<< (std::ostream &out, T3NTensor const &t)
template<typename It >
SRDef	orthogonalise_variational (State &, It, It)
	Dummy implementation for certain Krylov modes. More...
template<typename It >
SRDef	orthogonalise_variational_two_site (State &, It, It, Truncation const &)
	Dummy implementation for certain Krylov modes. More...
SDef	overlap (Operator const &a, Operator const &b)
	Computes the overlap of two operators. More...
SDef	overlap (State const &b, State const &a)
	Returns the overlap \( \langle a | b \rangle \) between two states. More...
STensor	overlap_rec (Operator::cPtrc a, Operator::cPtrc b)
	Helper function for overlap. More...
STensor	overlap_rec (State::cPtrc a, State::cPtrc b, bool const cache)
	Recursively returns the partial contraction of tensors below (and including) pointers a and b. More...
Operator	parse (Lattice const &lat, std::string const &desc, bool const truncate=false)
	Dummy implementation. More...
T3N::Operator	translate (MPS::Operator const &mpo, Vec< SBasisId > const &phys_ids)
	Takes an MPO as input and produces an T3NO w/ the T3NO STensor structure. More...
T3N::State	translate (MPS::State const &mps, Vec< SBasisId > const &phys_ids={})
	Takes an MPS as input and produces an T3NS w/ the T3NS STensor structure. More...
SRDef	twoSiteEntropy (State &state, Index const i, Index const j)
	Calculates two-site entropy. More...
SDef	variance (T3N::State const &a, T3N::Operator const &op, bool const truncateIntermediate=true, Truncation const trunc=Truncation())
	Calculates the variance. More...

Detailed Description

Namespace for T3N.

T3N toolkit.