Ultrastrong Coupling of a Qubit with a Nonlinear Optical Resonator
arXiv:2111.13442 · doi:10.1103/PhysRevA.105.023719
Abstract
We study the interaction of a two-level atom with a single-mode nonlinear electromagnetic resonator, considering coupling strengths ranging from zero to the so-called deep strong coupling regime. When the qubit-resonator coupling is very strong, the standard Kerr model for the resonator becomes questionable. Moreover, recently, it has been shown that extra care is needed when constructing gauge-independent theories in the presence of approximations as the truncation of the Hilbert space of the matter system. Such a truncation can ruin gauge invariance leading to non-physical results, especially when the light-matter interactions strength is very high. Here we face and solve this issues to provide a consistent nonlinear-resonator quantum Rabi model satisfying the gauge principle.
10 pages, 4 figures
References in corpus (11)
- QuTiP 2: A Python framework for the dynamics of open quantum systems
- Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
- Simple pulses for elimination of leakage in weakly nonlinear qubits
- Coherent quantum state storage and transfer between two phase qubits via a resonant cavity
- The quantum Rabi model: solution and dynamics
- Two-photon probe of the Jaynes-Cummings model and symmetry breaking in circuit QED
- Resolution of Gauge Ambiguities in Molecular Cavity Quantum Electrodynamics
- Phonon blockade in a nanomechanical resonator resonantly coupled to a qubit
- Optimal control of a leaking qubit
- Mathematical Methods in Quantum Optics: the Dicke Model
- Fabrication Technology of and Symmetry Breaking in Superconducting Quantum Circuits