HarmonicBasis¶

class HarmonicBasis(watson_hamiltonian, basis, truncation_order=3)[source]¶

Bases: qiskit.chemistry.components.bosonic_bases.bosonic_basis.BosonicBasis

Basis in which the Watson Hamiltonian is expressed.

This class uses the Hermite polynomials (eigenstates of the harmonic oscillator) as a modal basis for the expression of the Watson Hamiltonian or any bosonic operator.

References

[1] Ollitrault Pauline J., Chemical science 11 (2020): 6842-6855.

Parameters

watson_hamiltonian (WatsonHamiltonian) – A WatsonHamiltonian object which contains the hamiltonian information.
basis (List[int]) – Is a list defining the number of modals per mode. E.g. for a 3 modes system with 4 modals per mode basis = [4, 4, 4].
truncation_order (int) – where is the Hamiltonian expansion truncation (1 for having only 1-body terms, 2 for having on 1- and 2-body terms…)

Methods

convert

This prepares an array object representing a bosonic hamiltonian expressed in the harmonic basis.