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.
- ITP and the Center of QuantumBioSciences is part of newly approved Collaborative Research Center 1279
- The work of the Institute was mentioned in The Economist
- Congratulations to Jorge Casanova for winning a “Forschungsbonus”!
- Summer BBQ
- The paper “Ultrasensitive magnetometer using a single atom” was selected as a PRL EDITORS’ SUGGESTION
Most Recent Papers
•Stochastic unraveling of positive quantum dynamics, Physical Review A, 95, 062101 (2017)
•Dissipatively Stabilized Quantum Sensor Based on Indirect Nuclear-Nuclear Interactions, Physical Review Letters, 119, 010801 (2017)
• Steady-state preparation of long-lived nuclear spin singlet pairs at room temperature , Physical Review B, 95, 224105 (2017)
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