Time crystallinity in open quantum systems

Andreu Riera-Campeny; Maria Moreno-Cardoner; Anna Sanpera

doi:10.22331/q-2020-05-25-270

Time crystallinity in open quantum systems

Andreu Riera-Campeny¹, Maria Moreno-Cardoner¹, and Anna Sanpera^1,2

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.

► BibTeX data

@article{RieraCampeny2020timecrystallinityin,
  doi = {10.22331/q-2020-05-25-270},
  url = {https://doi.org/10.22331/q-2020-05-25-270},
  title = {Time crystallinity in open quantum systems},
  author = {Riera-Campeny, Andreu and Moreno-Cardoner, Maria and Sanpera, Anna},
  journal = {{Quantum}},
  issn = {2521-327X},
  publisher = {{Verein zur F{\"{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}},
  volume = {4},
  pages = {270},
  month = may,
  year = {2020}
}

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