Response of the Strongly-Driven Jaynes-Cummings Oscillator

Abstract

We analyze the Jaynes-Cummings model of quantum optics, in the strong-dispersive regime. In the bad cavity limit and on timescales short compared to the atomic coherence time, the dynamics are those of a nonlinear oscillator. A steady-state non-perturbative semiclassical analysis exhibits a finite region of bistability delimited by a pair of critical points, unlike the usual dispersive bistability from a Kerr nonlinearity. This analysis explains our quantum trajectory simulations that show qualitative agreement with recent experiments from the field of circuit quantum electrodynamics.

5 pages, 3 figures

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• Observation of the Bloch-Siegert shift in a driven quantum-to-classical transition
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• Quantum Dynamics of the Driven and Dissipative Rabi Model
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• A long-lived capacitively shunted flux qubit embedded in a 3D cavity
• Theory of microwave single-photon detection using an impedance-matched $\Lambda$ system
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• Multiplexing Superconducting Qubit Circuit for Single Microwave Photon Generation
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• Probing the Tavis-Cummings level splitting with intermediate-scale superconducting circuits
• Jaynes Cummings treatment of superconducting resonators with dielectric loss due to two-level systems
• Driving-induced resonance narrowing in a strongly coupled cavity-qubit system
• Nonlinear spectroscopy of superconducting anharmonic resonators
• Superharmonic Resonances in a Strongly Coupled Cavity-Atom System
• The quasi-dark state and quantum interference in Jaynes-Cummings model with a common bath
• Rare quantum metastable states in the strongly dispersive Jaynes-Cummings oscillator
• Single-photon induced instabilities in a cavity electromechanical device
• Nonlinear Parity Readout with a Microwave Photodetector
• Vantablack Shielding of Superconducting Qubit Systems
• Characterising Polariton States in Non-Dispersive Regime of Circuit Quantum Electrodynamics
• Efficient and controlled symmetric and asymmetric Bell-state transfers in a dissipative Jaynes-Cummings model
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• Probing the critical point of the Jaynes-Cummings second-order dissipative quantum phase transition
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