Hcpb_analytic¶

class Hcpb_analytic(Ej: float | None = None, Ec: float | None = None, ng: float = 0.5)[source]¶

Analytic version of Hamiltonian-model Cooper pair box (Hcpb) class.

Used calculate the exact eigenvalues for arbitrary Ej, Ec, ng values.

Generate a Cooper-pair box (CPB) model.

Parameters:

Ej (float) – Josephson energy of the JJ
Ec (float) – Charging energy of the CPB
ng (float) – Offset charge of the CPB (ng=0.5 is the sweet spot). ng only needs to run between -0.5 and 0.5. ng is defined in units of cooper pairs (2e)

Methods

evalue_k(k: int)[source]¶

Return the eigenvalue of the Hamiltonian for level k.

Parameters:: k (int) – Index of the eigenvalue
Returns:: eigenvalue of the Hamiltonian
Return type:: float