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