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.
- Jorge is a dad!
- Work of the group is published in Science
- Quantum biology work of the group features in a full page particle in the Frankfurter Allgemeine Sonntagszeitung
- 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
Most Recent Papers
•Arbitrary nuclear-spin gates in diamond mediated by a nitrogen-vacancy-center electron spin, Physical Review A, 96, 032314 (2017)
•Momentum coupling in non-Markovian quantum Brownian motion, Physical Review A, 96, 012109 (2017)
•Autonomous Quantum Clocks: Does Thermodynamics Limit Our Ability to Measure Time?, Physical Review X, 7, 031022 (2017)
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