pytenet.hamiltonian

Construction of common quantum Hamiltonians as matrix product operators (MPOs).

Functions

bose_hubbard_1d_mpo(nsites, d, t, u, mu)	Construct Bose-Hubbard Hamiltonian with nearest-neighbor hopping on a 1D lattice as MPO.
decode_quantum_number_pair(qnum)	Decode a quantum number into two separate quantum numbers.
encode_quantum_number_pair(qa, qb)	Encode a pair of quantum numbers into a single quantum number.
fermi_hubbard_1d_mpo(nsites, t, u, mu)	Construct Fermi-Hubbard Hamiltonian with nearest-neighbor hopping on a one-dimensional lattice as MPO.
heisenberg_xxz_1d_mpo(nsites, J, D, h)	Construct XXZ Heisenberg Hamiltonian sum J X X + J Y Y + D Z Z - h Z on a one-dimensional lattice as MPO.
heisenberg_xxz_spin1_1d_mpo(nsites, J, D, h)	Construct spin-1 XXZ Heisenberg Hamiltonian sum J X X + J Y Y + D Z Z - h Z on a one-dimensional lattice as MPO.
ising_1d_mpo(nsites, J, h, g)	Construct Ising Hamiltonian sum J sz sz + h sz + g sx on a one-dimensional lattice as MPO.
linear_fermionic_mpo(coeff, ftype)	Represent a sum of fermionic creation or annihilation operators of the following form as MPO:
linear_spin_fermionic_mpo(coeff, ftype, sigma)	Represent a sum of fermionic creation or annihilation operators of the following form as MPO, where sigma = 1 indicates spin-up and sigma = -1 indicates spin-down:
molecular_hamiltonian_mpo(tkin, vint[, optimize])	Construct a molecular Hamiltonian as MPO, using physicists' convention for the interaction term (note ordering of k and ell):
molecular_hamiltonian_orbital_gauge_transform(h, u, i)	Generate the left and right gauge transformation matrices corresponding to the single-orbital rotation matrix u applied to orbitals i and i + 1.
quadratic_fermionic_mpo(coeffc, coeffa)	Represent a product of sums of fermionic creation and annihilation operators of the following form as MPO:
quadratic_spin_fermionic_mpo(coeffc, coeffa, ...)	Represent a product of sums of fermionic creation and annihilation operators of the following form as MPO, where sigma = 1 indicates spin-up and sigma = -1 indicates spin-down:
spin_molecular_hamiltonian_mpo(tkin, vint[, ...])	Construct a molecular Hamiltonian as MPO, assuming a spin orbital basis and using physicists' convention for the interaction term (note ordering of k and ell):

Classes

MolecularOID(value)	Local operator IDs for a molecular Hamiltonian.
MolecularOpGraphNodes(nsites)	Operator graph nodes used for molecular Hamiltonian construction.
SpinMolecularOID(value)	Local operator IDs for a molecular Hamiltonian using a spin orbital basis.
SpinMolecularOpGraphNodes(nsites)	Operator graph nodes used for molecular Hamiltonian construction, assuming a spin orbital basis.
SpinOperatorConverter()	Local operator conversion when transitioning from a spatial to a spin orbital basis.