Dynamical bistability in the driven circuit QED

Abstract

We show that the nonlinear response of a driven circuit quantum electrodynamics setup displays antiresonant multiphoton transitions, as recently observed in a transmon qubit device. By including photon leaking, we explain the lineshape by a perturbative and a semiclassical analysis. We derive a bistable semiclassical quasienergy surface whose lowest quasienergy eigenstate is squeezed, allowing for a squeezing-dependent local effective temperature. We study the escape dynamics out of the metastable state and find signatures of dynamical tunneling, similar as for the quantum Duffing oscillator.

submitted to PRL

References in corpus (6)

• Controlling the spontaneous emission of a superconducting transmon qubit
• Nonlinear response of the vacuum Rabi resonance
• Switching via quantum activation: A parametrically modulated oscillator
• Critical exponents in metastable decay via quantum activation
• Quantum dot spectroscopy using cavity QED
• Dynamics of the quantum Duffing oscillator in the driving induced bistable regime

Cited by in corpus (22)

• High-Fidelity Readout in Circuit Quantum Electrodynamics Using the Jaynes-Cummings Nonlinearity
• Observation of the photon-blockade breakdown phase transition
• Response of the Strongly-Driven Jaynes-Cummings Oscillator
• Detecting phonon blockade with photons
• Dissipative quantum bifurcation machine: Quantum heating of coupled nonlinear oscillators
• Quantum heating of a parametrically modulated oscillator: spectral signatures
• Floquet theory of Cooper pair pumping
• Simultaneous bistability of qubit and resonator in circuit quantum electrodynamics
• Quasienergy description of the driven Jaynes-Cummings model
• Emission spectrum of the driven nonlinear oscillator
• Superradiance and Phase Multistability in Circuit Quantum Electrodynamics
• Entanglement Generated by the Dispersive Interaction: The Dressed Coherent State
• Quantum fluctuations in modulated nonlinear oscillators
• Bistability effect in the extreme strong coupling regime of the Jaynes-Cummings model
• Quantum critical temperature of a modulated oscillator
• Quantum noise properties of multiphoton transitions in driven nonlinear resonators
• Nonlinear spectroscopy of superconducting anharmonic resonators
• Qubit state detection using the quantum Duffing oscillator
• Antiresonant quantum transport in ac driven molecular nanojunctions
• Nonlinear Parity Readout with a Microwave Photodetector
• Robustness of the Floquet-assisted superradiant phase and possible laser operation
• Superquantization rule for multistability in driven-dissipative quantum systems