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
• Relations between dissipated work in non-equilibrium process and the family of Rényi divergences. New Journal of Physics, 19, 0023002 (2017)
• Universal continuous-variable quantum computation without cooling. Physical Review A, 95, 0022303 (2017)
•Signatures of spatially correlated noise and non-secular effects in two-dimensional electronic spectroscopy. J. Chem. Phys. 146, 024109 (2017)
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