Pomerol Namespace Reference

The main namespace of the library. More...

Namespaces
	LatticePresets
	This namespace encloses factory functions for various terms most commonly used to write a lattice Hamiltonian.
	Operators
	Expressions of quantum-mechanical operators.

Data Structures
struct	ComputableObject
	A base class for computable objects. More...
class	DensityMatrix
	Many-body Gibbs density matrix. More...
class	DensityMatrixPart
	Part of a many-body Gibbs density matrix. More...
class	EnsembleAverage
	Canonical ensemble average of a monomial operator. More...
class	FieldOperatorContainer
	Container for instances of CreationOperator and AnnihilationOperator. More...
class	GFContainer
	Container for instances of GreensFunction. More...
class	GreensFunction
	Fermionic single-particle Matsubara Green's function. More...
class	GreensFunctionPart
	Part of a fermionic single-particle Matsubara Green's function. More...
class	Hamiltonian
	Hamiltonian of a quantum system. More...
class	HamiltonianPart
	Part of a Hamiltonian of a quantum system. More...
class	HilbertSpace
	Hilbert space of a quantum system. More...
struct	IndexCombination2
	A tuple-like combination of two single-particle indices. More...
struct	IndexCombination4
	A tuple-like combination of four single-particle indices. More...
class	IndexClassification
	Contiguous list of operator index tuples. More...
class	IndexContainer2
	Base class for sparse container types whose elements are addressable by two single-particle indices. More...
struct	ElementWithPermFreq
	A decorator that permutes indices of Matsubara frequencies in calls to operator(). More...
class	IndexContainer4
	Base class for sparse container types whose elements are addressable by four single-particle indices. More...
class	MatsubaraContainer4
	Container for functions of three Matsubara frequencies. More...
struct	Permutation3
	Permutation of 3 elements. More...
struct	Permutation4
	Permutation of 4 elements. More...
class	MonomialOperator
	Monomial quantum operator. More...
class	FieldOperator
	A special case of a monomial operator: A single fermion creation or annihilation operator \(\hat F_i\). More...
class	CreationOperator
	A special case of a monomial operator: A single fermion creation operator \(c^\dagger_i\). More...
class	AnnihilationOperator
	A special case of a monomial operator: A single fermion annihilation operator \(c_i\). More...
class	QuadraticOperator
class	QuarticOperator
class	MonomialOperatorPart
	Part of a monomial quantum operator. More...
class	StatesClassification
	Classification of many-body basis states into bases of invariant subspaces. More...
class	Susceptibility
	Dynamical susceptibility. More...
class	SusceptibilityPart
	Part of a dynamical susceptibility. More...
class	TermList
	A list of terms contributing to the Lehmann representation of a correlation function. More...
struct	Thermal
	Base class for objects whose definition depends on the temperature. More...
class	ThreePointSusceptibility
	3-point fermion-boson susceptibility in the Matsubara representation. More...
class	ThreePointSusceptibilityContainer
	Container for instances of ThreePointSusceptibility. More...
class	ThreePointSusceptibilityPart
	Part of a 3-point susceptibility. More...
class	TwoParticleGF
	Fermionic two-particle Matsubara Green's function. More...
class	TwoParticleGFContainer
	Container for instances of TwoParticleGF. More...
class	TwoParticleGFPart
	Part of a fermionic two-particle Matsubara Green's function. More...
class	Vertex4
	Irreducible two-particle vertex. More...

Typedefs
using	RealType = double
	Real floating point type. More...
using	ComplexType = std::complex< double >
	Complex floating point type. More...
using	ParticleIndex = unsigned int
	Index of a single particle degree of freedom. More...
using	QuantumState = libcommute::sv_index_type
	Index of a many-body state. More...
using	ComplexMatrixType = Eigen::Matrix< ComplexType, Eigen::Dynamic, Eigen::Dynamic, Eigen::AutoAlign|Eigen::RowMajor >
	Dense complex matrix. More...
template<bool Complex>
using	MelemType = typename std::conditional< Complex, ComplexType, RealType >::type
template<typename ScalarType >
using	LOperatorType = libcommute::loperator< ScalarType, libcommute::fermion, libcommute::boson >
template<bool Complex>
using	LOperatorTypeRC = libcommute::loperator< MelemType< Complex >, libcommute::fermion, libcommute::boson >
template<bool Complex>
using	MatrixType = Eigen::Matrix< MelemType< Complex >, Eigen::Dynamic, Eigen::Dynamic, Eigen::AutoAlign|Eigen::RowMajor >
using	ComplexVectorType = Eigen::Matrix< ComplexType, Eigen::Dynamic, 1, Eigen::AutoAlign >
	Dense complex vector. More...
using	RealVectorType = Eigen::Matrix< RealType, Eigen::Dynamic, 1, Eigen::AutoAlign >
	Dense real vector. More...
template<bool Complex>
using	VectorType = Eigen::Matrix< MelemType< Complex >, Eigen::Dynamic, 1, Eigen::AutoAlign >
template<bool Complex>
using	ColMajorMatrixType = Eigen::SparseMatrix< MelemType< Complex >, Eigen::ColMajor >
template<bool Complex>
using	RowMajorMatrixType = Eigen::SparseMatrix< MelemType< Complex >, Eigen::RowMajor >
using	BlockMapping = std::pair< BlockNumber, BlockNumber >
	A pair of invariant subspace indices. More...
using	BlockNumber = int
	Index of a subspace (block) within a full many-body Hilbert space. More...
using	InnerQuantumState = libcommute::sv_index_type
	Index of a state within a block. More...
using	FreqTuple2 = std::tuple< ComplexType, ComplexType >
	Duplet of complex frequencies. More...
using	FreqVec2 = std::vector< FreqTuple2 >
	List of complex frequency duplets. More...
using	FreqTuple3 = std::tuple< ComplexType, ComplexType, ComplexType >
	Triplet of complex frequencies. More...
using	FreqVec3 = std::vector< FreqTuple3 >
	List of complex frequency triplets. More...

Enumerations
enum	Channel : int { PP , PH , xPH }
	Channel, in which a susceptibility function is defined. More...

Functions
template<bool Complex>
bool	chaseIndices (typename RowMajorMatrixType< Complex >::InnerIterator &index1_iter, typename ColMajorMatrixType< Complex >::InnerIterator &index2_iter)
	Make the lagging index catch up or outrun the leading index. More...
template<typename ScalarType , typename... IndexTypes>
HilbertSpace< IndexTypes... >	MakeHilbertSpace (IndexClassification< IndexTypes... > const &IndexInfo, Operators::expression< ScalarType, IndexTypes... > const &H, unsigned int bits_per_boson=1)
template<typename ScalarType , typename... IndexTypes>
HilbertSpace< IndexTypes... >	MakeHilbertSpace (IndexClassification< IndexTypes... > const &IndexInfo, Operators::expression< ScalarType, IndexTypes... > const &H, std::map< std::tuple< IndexTypes... >, unsigned int > const &bits_per_boson_map)
template<typename ScalarType , typename... IndexTypes>
IndexClassification< IndexTypes... >	MakeIndexClassification (Operators::expression< ScalarType, IndexTypes... > const &H)
std::ostream &	operator<< (std::ostream &os, Channel channel)
std::size_t	hash_binned_real (double x, double bin_size)

Variables
static ComplexType const	I = ComplexType(0.0, 1.0)
	Imaginary unit \(i\). More...
std::array< Permutation3, 6 > const	permutations3
	An array of all 3! = 6 permutations of 3 elements. More...
std::array< Permutation4, 24 > const	permutations4
	An array of all 4! = 24 permutations of 4 elements. More...
constexpr BlockNumber	INVALID_BLOCK_NUMBER = -1
	A special value that stands for a non-existent subspace (block). More...

Detailed Description

The main namespace of the library.

Function Documentation

chaseIndices()

template<bool Complex>

bool Pomerol::chaseIndices ( typename RowMajorMatrixType< Complex >::InnerIterator &  index1_iter, typename ColMajorMatrixType< Complex >::InnerIterator &  index2_iter  )

inline

Make the lagging index catch up or outrun the leading index.

Definition at line 30 of file ChaseIndices.hpp.