Time crystallinity in open quantum systems
1Física Teòrica: Informació i Fenòmens Quàntics. Departament de Física, Universitat Autònoma de Barcelona, 08193 Bellaterra, Spain
2ICREA, Passeig Lluís Companys 23, 08001 Barcelona, Spain.
| Published: | 2020-05-25, volume 4, page 270 |
| Eprint: | arXiv:1908.11339v4 |
| Doi: | https://doi.org/10.22331/q-2020-05-25-270 |
| Citation: | Quantum 4, 270 (2020). |
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Abstract
Time crystals are genuinely non-equilibrium quantum phases of matter that break time-translational symmetry. While in non-equilibrium closed systems time crystals have been experimentally realized, it remains an open question whether or not such a phase survives when systems are coupled to an environment. Although dissipation caused by the coupling to a bath may stabilize time crystals in some regimes, the introduction of incoherent noise may also destroy the time crystalline order. Therefore, the mechanisms that stabilize a time crystal in open and closed systems are not necessarily the same. Here, we propose a way to identify an open system time crystal based on a single object: the Floquet propagator. Armed with such a description we show time-crystalline behavior in an explicitly short-range interacting open system and demonstrate the crucial role of the nature of the decay processes.
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