scqubits.Fluxonium.hamiltonian#

Fluxonium.hamiltonian(energy_esys=False)[source]#

Constructs Hamiltonian matrix in harmonic-oscillator, following Zhu et al., PRB 87, 024510 (2013), or eigenenergy basis.

Parameters:

energy_esys (Union[bool, Tuple[ndarray, ndarray]]) – If False (default), returns Hamiltonian in the harmonic-oscillator basis. If True, the energy eigenspectrum is computed, returns Hamiltonian in the energy eigenbasis. If energy_esys = esys, where esys is a tuple containing two ndarrays (eigenvalues and energy eigenvectors), returns Hamiltonian in the energy eigenbasis, and does not have to recalculate eigenspectrum.

Return type:

ndarray

Returns:

Hamiltonian in chosen basis as ndarray. If the eigenenergy basis is chosen, unless energy_esys is specified, the Hamiltonian has dimensions of truncated_dim x truncated_dim. Otherwise, if eigenenergy basis is chosen, Hamiltonian has dimensions of m x m, for m given eigenvectors.