fh_comm.hamiltonian_ops.HoppingOp

class fh_comm.hamiltonian_ops.HoppingOp(i: Sequence[int], j: Sequence[int], s: int, coeff: float)

Bases: HamiltonianOp

Hopping term \(a^{\dagger}_{i\sigma} a_{j\sigma} + h.c.\) between sites i and j with spin s.

Methods

as_field_operator	Represent the operator in terms of fermionic field operators.
flip	Interchange i <-> j, resulting in logically the same operator.
is_zero	Indicate whether the operator acts as zero operator.
norm_bound	Upper bound on the spectral norm of the operator.
normalize	Return a normalized copy of the operator together with its scalar prefactor.
proportional	Whether current operator is equal to 'other' up to a scalar factor.
standard_form	Return the "standard form" of the operator, such that i <= j (lexicographical ordering).
support	Support of the operator: lattice sites which it acts on (including spin).
translate	Translate by shift and return the translated operator.

Attributes

fermi_weight	Maximum number of fermionic creation and annihilation operators multiplied together.
max_nmodes_exact_norm

__add__(other)

Logical sum.

__neg__()

Logical negation.

__str__() → str

Represent the operator as a string.

__sub__(other)

Logical difference.

as_field_operator() → FieldOp

Represent the operator in terms of fermionic field operators.

property fermi_weight: int

Maximum number of fermionic creation and annihilation operators multiplied together.

flip()

Interchange i <-> j, resulting in logically the same operator.

is_zero() → bool

Indicate whether the operator acts as zero operator.

norm_bound() → float

Upper bound on the spectral norm of the operator.

normalize() → tuple

Return a normalized copy of the operator together with its scalar prefactor.

proportional(other) → bool

Whether current operator is equal to ‘other’ up to a scalar factor.

standard_form()

Return the “standard form” of the operator, such that i <= j (lexicographical ordering).

support() → list[tuple]

Support of the operator: lattice sites which it acts on (including spin).

translate(shift: Sequence[int])

Translate by shift and return the translated operator.