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arXiv · 2104.13402

Time periodicity from randomness in quantum systems

Giacomo Guarnieri·Mark T. Mitchison·Archak Purkayastha·Dieter Jaksch·Berislav Buča·John Goold
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Abstract

Many complex systems can spontaneously oscillate under non-periodic forcing. Such self-oscillators are commonplace in biological and technological assemblies where temporal periodicity is needed, such as the beating of a human heart or the vibration of a cello string. While self-oscillation is well understood in classical non-linear systems and their quantized counterparts, the spontaneous emergence of periodicity in quantum systems without a semi-classical limit is more elusive. Here, we show that this behavior can emerge within the repeated-interaction description of open quantum systems. Specifically, we consider a many-body quantum system that undergoes dissipation due to sequential coupling with auxiliary systems at random times. We develop dynamical symmetry conditions that guarantee an oscillatory long-time state in this setting. Our rigorous results are illustrated with specific spin models, which could be implemented in trapped-ion quantum simulators.

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Giacomo Guarnieri, Mark T. Mitchison, Archak Purkayastha, Dieter Jaksch, Berislav Buča, John Goold. 2021-04-27. Time periodicity from randomness in quantum systems. https://doi.org/10.1103/physreva.106.022209

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