VibrationalEnergy#

class VibrationalEnergy(vibrational_integrals, *, truncation_order=None)[ソース]#

ベースクラス: Hamiltonian

The vibrational energy Hamiltonian.

This class implements the following Hamiltonian:

\[\sum_{l=1}^L \sum_{k_l,h_l}^{N_l} \langle \phi_{k_l} | T(Q_l) + V^{[l]}(Q_l) | \phi_{h_l} \rangle a^\dagger_{k_l} a_{h_l} + \sum_{l<m}^L \sum_{k_l,h_l}^{N_l} \sum_{k_m,h_m}^{N_m} \langle \phi_{k_l} \phi_{k_m} | V^{[l,m]}(Q_l, Q_m) | \phi_{h_l} \phi_{h_m} \rangle a^\dagger_{k_l} a^\dagger_{k_m} a_{h_l} a_{h_m} + \ldots\]

where \(Q\) denotes a vibrational mode, \(T\) denotes the kinetic term, and \(V\) denotes the potential terms acting on multiple modes. The subscripts \(k\) and \(h\) are indexing the modals which each mode \(l\) gets expanded into.

For a detailed explanation please refer to reference [1].

The following attributes can be set via the initializer but can also be read and updated once the VibrationalEnergy object has been constructed.

vibrational_integrals#

the integral coefficients.

Type:

VibrationalIntegrals

truncation_order#

the maximum order of multi-body terms to include in the operator.

Type:

int | None

参照

[1]: P. Ollitrault et al. arXiv:2003.12578.

パラメータ:
  • vibrational_integrals (VibrationalIntegrals) – the container with the integral coefficients.

  • truncation_order (int | None) – the maximum order of multi-body terms to include in the operator.

Attributes

register_length#

Methods

classmethod from_raw_integrals(integrals)[ソース]#

Constructs a hamiltonian instance from raw integrals.

This function simply calls qiskit_nature.second_q.operators.VibrationalIntegrals.from_raw_integrals(). See its documentation for more details.

パラメータ:

integrals (dict[tuple[int, ...], complex]) – a mapping of matrix index tuples to coefficients.

戻り値:

The resulting VibrationalEnergy instance.

戻り値の型:

VibrationalEnergy

interpret(result)[ソース]#

Interprets an EigenstateResult.

パラメータ:

result (EigenstateResult) – The result to add meaning to.

second_q_op()[ソース]#

Returns the second quantized vibrational energy operator.

戻り値:

A dict of VibrationalOp objects.

戻り値の型:

VibrationalOp