Quantum chaos in an ultra-strongly coupled bosonic junction

Abstract

The classical and quantum dynamics of two ultra-strongly coupled and weakly nonlinear resonators cannot be explained using the Discrete Nonlinear Schrödinger Equation or the Bose-Hubbard model, respectively. Instead, a model beyond the Rotating Wave Approximation must be studied. In the classical limit this model is not integrable and becomes chaotic for a finite window of parameters. For the quantum dimer we find corresponding regions of stability and chaos. The more striking consequence for both classical and quantum chaos is that the tunneling time between the sites becomes unpredictable. These results, including the transition to chaos, can be tested in experiments with superconducting microwave resonators.

5+2 pages, 5 figures

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Cited by in corpus (7)

• $\mathcal{P}\mathcal{T}$-symmetric circuit-QED
• Nonlinear quantum optics in the (ultra)strong light-matter coupling
• Phonon Josephson Junction with Nanomechanical Resonators
• Stationary discrete solitons in circuit QED
• Characterizing Superradiant Phase of the Quantum Rabi Model
• Quantum topology in the ultrastrong coupling regime
• Coupled modes locally interacting with qubits: critical assessment of the rotating wave approximation