Cavity
The Boulder Opal Toolkits are currently in beta phase of development. Breaking changes may be introduced.
- class Cavity(dimension, frequency=None, kerr_coefficient=None, drive=None, name='cavity')
Class that stores all the physical system data for a cavity.
- Parameters:
dimension (int) – Number of dimensions of the Hilbert space of the cavity. Must be at least 2.
frequency (real or np.ndarray or RealOptimizableSignal or RealOptimizableConstant, optional) – The frequency of the cavity, \(\omega_c\). If not provided, it defaults to no frequency term.
kerr_coefficient (real or np.ndarray or RealOptimizableSignal or RealOptimizableConstant, optional) – The nonlinearity of the cavity, \(K\). If not provided, it defaults to no nonlinear term.
drive (real or complex or np.ndarray or RealOptimizableSignal or RealOptimizableConstant or ComplexOptimizableSignal or ComplexOptimizableConstant, optional) – The complex drive of the cavity, \(\gamma_c\). If not provided, it defaults to no drive term.
name (str, optional) – The identifier of the cavity that is used to link interaction terms to this cavity. Defaults to “cavity”.
See also
superconducting.CavityCavityInteractionClass describing interactions between two cavities.
superconducting.TransmonClass describing transmons in superconducting systems.
superconducting.TransmonCavityInteractionClass describing interactions between a transmon and a cavity.
Notes
The Hamiltonian for the cavity is defined as
\[H_\mathrm{cavity} = \omega_c a^\dagger a + \frac{K}{2} (a^\dagger)^2 a^2 + \frac{1}{2} \left(\gamma_c a^\dagger + H.c. \right) ,\]where \(H.c.\) indicates the Hermitian conjugate. All coefficients in the Hamiltonian are optional, and you should only pass those relevant to your system.