Index

Symbols

: A fixed-particle-number sector with additional fixed eigenvalues of commuting number operators, such as N_\uparrow and N_\downarrow. Such constraints are specified with NParticleSector.project_particles(...) before build(). : A ket represented by coefficients in the ordered basis of a built sector. : A second-quantized sum or ordered product constructed from creation, annihilation, number, and scalar operators. : Compressed sparse column format used by the explicit sparse Hamiltonian matrix. : Eigenvalues of the one-body density matrix \rho^{(1)}_{ij}=\langle a_i^\dagger a_j\rangle. : Hermitian adjoint of a Fock-space ket, used in expressions such as psi.dag * O * psi.

: One occupation-number basis state. Fermionic occupations are 0 or 1 bosonic occupations are non-negative integers. : One ordered single-particle label combination in FermionModes or BosonModes. : Ordered occupation-number basis spanning a finite many-body sector. : Partial eigensolution in which ARPACK receives the action of H on vectors through a LinearOperator instead of an explicitly stored Hamiltonian matrix. : Subspace with a fixed eigenvalue N of the total number operator.

A

Annihilation (class in edinpy.boson) (class in edinpy.fermion)

aslinearoperator() (edinpy.fermion.Hamiltonian method)

B

basis (edinpy.boson.NParticleSector property) (edinpy.fermion.FockVector property) (edinpy.fermion.NParticleSector property)

bits_per_mode (edinpy.boson.FockBasis property) BosonModes (class in edinpy.boson) build() (edinpy.boson.NParticleSector method) (edinpy.fermion.NParticleSector method)

C

calc_matrix() (edinpy.fermion.Hamiltonian method) coefficients (edinpy.fermion.FockVector property) compiler_stats (edinpy.fermion.Hamiltonian property)

Creation (class in edinpy.boson) (class in edinpy.fermion) CSC

D

dag (edinpy.boson.Annihilation property) (edinpy.boson.Creation property) (edinpy.boson.FockState property) (edinpy.boson.Number property) (edinpy.fermion.Annihilation property) (edinpy.fermion.Creation property) (edinpy.fermion.FockBra property) (edinpy.fermion.FockState property) (edinpy.fermion.FockVector property) (edinpy.fermion.NullState property) (edinpy.fermion.Number property) (edinpy.fermion.Operator property) (edinpy.fermion.OperatorProduct property) (edinpy.fermion.OperatorSum property) (edinpy.fermion.StateSum property)

DensityDensity() (in module edinpy.boson) (in module edinpy.fermion) dimension (edinpy.boson.FockBasis property) (edinpy.boson.NParticleSector property) (edinpy.fermion.FockBasis property) (edinpy.fermion.NParticleSector property) DoF (class in edinpy.fermion) dofs (edinpy.fermion.FermionModes attribute)

E

eigenstate() (edinpy.fermion.Hamiltonian method) eigenstates() (edinpy.fermion.Hamiltonian method) eigsolve() (edinpy.fermion.Hamiltonian method) eigvals (edinpy.fermion.Hamiltonian property) eigvecs (edinpy.fermion.Hamiltonian property)

estimate_solver_memory() (edinpy.fermion.Hamiltonian method) estimated_execution_storage_bytes (edinpy.boson.FockBasis property) (edinpy.fermion.FockBasis property) expected_dimension() (edinpy.boson.FockBasis static method) (edinpy.fermion.FockBasis static method)

F

FermionModes (class in edinpy.fermion) fixed-particle-number sector Fock basis Fock bra Fock state Fock vector FockBasis (class in edinpy.boson) (class in edinpy.fermion)

FockBra (class in edinpy.fermion) FockState (class in edinpy.boson) (class in edinpy.fermion) FockVector (class in edinpy.fermion) from_vector() (edinpy.boson.NParticleSector method) (edinpy.fermion.NParticleSector method)

H

Hamiltonian (class in edinpy.fermion) HeisenbergExchange() (in module edinpy.boson) (in module edinpy.fermion)

Hopping() (in module edinpy.boson) (in module edinpy.fermion) Hubbard() (in module edinpy.boson) (in module edinpy.fermion)

I

index() (edinpy.boson.FockBasis method) (edinpy.fermion.FockBasis method) inner() (edinpy.boson.FockState method) (edinpy.fermion.FockState method) (edinpy.fermion.FockVector method) (edinpy.fermion.NullState method) (edinpy.fermion.StateSum method) is_built (edinpy.boson.NParticleSector property) (edinpy.fermion.NParticleSector property)

is_complete (edinpy.boson.FockBasis property) (edinpy.fermion.FockBasis property) is_hermitian() (edinpy.fermion.Hamiltonian method) is_materialized (edinpy.boson.FockBasis property) (edinpy.fermion.FockBasis property) is_occupied() (edinpy.boson.FockState method) (edinpy.fermion.FockState method)

M

matrix (edinpy.fermion.Hamiltonian property) matrix-free eigensolve

mode modes (edinpy.fermion.FockVector property)

N

N (edinpy.boson.FockState property) n_modes (edinpy.boson.FockState property) (edinpy.fermion.FermionModes attribute) natural occupations ncv_for_arpack_budget() (edinpy.fermion.Hamiltonian method) ncv_for_memory_budget() (edinpy.fermion.Hamiltonian method) norm() (edinpy.boson.FockState method) (edinpy.fermion.FockState method) (edinpy.fermion.FockVector method) (edinpy.fermion.NullState method) (edinpy.fermion.StateSum method)

normalized() (edinpy.boson.FockState method) (edinpy.fermion.FockState method) (edinpy.fermion.FockVector method) (edinpy.fermion.NullState method) (edinpy.fermion.StateSum method) NParticleSector (class in edinpy.boson) (class in edinpy.fermion) NullState (class in edinpy.fermion) Number (class in edinpy.boson) (class in edinpy.fermion)

O

occupation() (edinpy.boson.FockBasis method) (edinpy.boson.FockState method) Onsite() (in module edinpy.boson) (in module edinpy.fermion) op (edinpy.fermion.OperatorProduct property)

Operator (class in edinpy.fermion) operator expression OperatorProduct (class in edinpy.fermion) OperatorSum (class in edinpy.fermion) os (edinpy.fermion.OperatorSum property)

P

pack() (edinpy.boson.FockBasis method) packed_at() (edinpy.boson.FockBasis method) packed_states (edinpy.boson.FockBasis property) packed_width (edinpy.boson.FockBasis property)

PairHopping() (in module edinpy.boson) (in module edinpy.fermion) plan_solver_memory() (edinpy.fermion.Hamiltonian method) project_particles() (edinpy.boson.NParticleSector method) (edinpy.fermion.NParticleSector method)

R

resolve() (edinpy.fermion.FermionModes method)

S

set_notation() (in module edinpy.fermion) simplified() (edinpy.fermion.StateSum method) solver_diagnostics (edinpy.fermion.Hamiltonian property) SpinMinus() (in module edinpy.boson) (in module edinpy.fermion) SpinPlus() (in module edinpy.boson) (in module edinpy.fermion) SpinX() (in module edinpy.boson) (in module edinpy.fermion) SpinY() (in module edinpy.boson) (in module edinpy.fermion) SpinZ() (in module edinpy.boson) (in module edinpy.fermion) state (edinpy.boson.FockState property)

state() (edinpy.boson.FockBasis method) (edinpy.fermion.FockBasis method) state_at() (edinpy.boson.FockBasis method) (edinpy.fermion.FockBasis method) states (edinpy.boson.FockBasis property) (edinpy.fermion.FockBasis property) (edinpy.fermion.StateSum property) StateSum (class in edinpy.fermion) storage_bytes (edinpy.boson.FockBasis property) (edinpy.fermion.FockBasis property) strides (edinpy.fermion.FermionModes attribute) string (edinpy.fermion.Operator property) (edinpy.fermion.OperatorProduct property) (edinpy.fermion.OperatorSum property) symmetry-constrained sector

T

to_vector() (edinpy.fermion.FockVector method)

toarray() (edinpy.fermion.Hamiltonian method)

U

unpack() (edinpy.boson.FockBasis method)

unravel() (edinpy.fermion.FermionModes method)