Multilevel effects in a driven generalized Rabi model

Abstract

We study numerically the onset of higher-level excitations and resonance frequency shifts in the generalized multilevel Rabi model with dispersive coupling under strong driving. The response to a weak probe is calculated using the Floquet method, which allows us to calculate the probe spectrum and extract the resonance frequency. We test our predictions using a superconducting circuit consisting of transmon coupled capacitively to a coplanar waveguide resonator. This system is monitored by a weak probe field, and at the same time driven at various powers by a stronger microwave tone. We show that the transition from the quantum to the classical regime is accompanied by a rapid increase of the transmon occupation and, consequently that the qubit approximation is valid only in the extreme quantum limit.

12 pages, 4 figures

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• Structural instability of driven Josephson circuits prevented by an inductive shunt
• Analog quantum simulation of generalized Dicke models in trapped ions
• Photon blockade and the quantum-to-classical transition in the driven-dissipative Josephson pendulum coupled to a resonator
• Low-frequency spectroscopy for quantum multi-level systems
• State leakage during fast decay and control of a superconducting transmon qubit
• General solution of the time evolution of two interacting harmonic oscillators
• Thermometry and memcapacitance with qubit-resonator system
• Probabilistic motional averaging
• Emergent photon pair propagation in circuit QED with superconducting processors
• Enhancement of squeezing in the Rabi model with parametric nonlinearity