In a wide class of systems, sweeping back and forth the driving amplitude of a nonlinear resonator produces a hysteresis cycle, which for electromagnetic resonators is referred to as optical bistability. For weak nonlinearities, it can be described by a semiclassical approach neglecting quantum fluctuations. It is known that quantum fluctuations induce switching between two classically stable branches. The steady-state is then unique and consists of a statistical mixture of the two branches. in other words, in the quantum regime (for large nonlinearities), there is no static hysteresis.
We show in this work that there is nonetheless a dynamic hysteresis in the quantum regime. By sweeping the driving amplitude in a finite time we show that the area of the hysteresis cycle exhibits a rich temporal power-law behavior, qualitatively different from semiclassical predictions. We connect this behavior to a nonadiabatic response of the system and establish a link with the Kibble-Zurek mechanism for quenched phase transitions.
Most Recent Papers
•Dissipative phase transition in the open quantum Rabi model, Physical Review A, 97, 013825 (2018)
•Magnetic field fluctuations analysis for the ion trap implementation of the quantum Rabi model in the deep strong coupling regime, J. Mod. Opt. (Special Issue: Quantum optics, cooling and collisions of ions and atoms), 603-611 (2017)
•Probabilistic low-rank factorization accelerates tensor network simulations of critical quantum many-body ground states, Physical Review E, 97, 013301 (2018)
Institute of Theoretical Physics
D - 89069 Ulm
Tel: ++49 / 731 / 50 - 22911
Fax: ++49 / 731 / 50 - 22924
Office: Building O25, room 410