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
•Scheme for Detection of Single-Molecule Radical Pair Reaction Using Spin in Diamond, Physical Review Letters, 118, 200402 (2017)
•Enhanced Resolution in Nanoscale NMR via Quantum Sensing with Pulses of Finite Duration, Physical Review Applied, 7, 054009 (2017)
•Regulating the Energy Flow in a Cyanobacterial Light-Harvesting Antenna Complex, J. Phys. Chem. B, 121, 1240-1247 (2017)
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