Optimal gauge for the multimode Rabi model in circuit QED
arXiv:1904.08735 · doi:10.1103/PhysRevResearch.1.033128
Abstract
In circuit QED, a Rabi model can be derived by truncating the Hilbert space of the anharmonic qubit coupled to a linear, reactive environment. This truncation breaks the gauge invariance present in the full Hamiltonian. We analyze the determination of an optimal gauge such that the differences between the truncated and the full Hamiltonian are minimized. Here, we derive a simple criterion for the optimal gauge. We find that it is determined by the ratio of the anharmonicity of the qubit to an averaged environmental frequency. We demonstrate that the usual choices of flux and charge gauge are not necessarily the preferred options in the case of multiple resonator modes.
arXiv comment4 pages, 3 figures. Includes 3 pages of supplementary material
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- Hamiltonian of a flux qubit-LC oscillator circuit in the deep-strong-coupling regime
- Ultrastrong time-dependent light-matter interactions are gauge-relative
- Avoiding gauge ambiguities in cavity QED
- Nonclassicality of open circuit QED systems in the deep-strong coupling regime
- Metrics and properties of optimal gauges in multimode cavity QED
- The gauge-relativity of quantum light, matter, and information
- Non-conjugate quantum subsystems
- Approximating the two-mode two-photon Rabi model
- High-frequency suppression of inductive coupling between flux qubit and transmission line resonator
- Optimal Dynamical Gauge in the Quantum Rabi Model