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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.<\/jats:p>","DOI":"10.22331\/q-2020-05-25-270","type":"journal-article","created":{"date-parts":[[2020,5,25]],"date-time":"2020-05-25T14:10:37Z","timestamp":1590415837000},"page":"270","source":"Crossref","is-referenced-by-count":47,"title":["Time crystallinity in open quantum systems"],"prefix":"10.22331","volume":"4","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3260-993X","authenticated-orcid":false,"given":"Andreu","family":"Riera-Campeny","sequence":"first","affiliation":[{"name":"F\u00edsica Te\u00f2rica: Informaci\u00f3 i Fen\u00f2mens Qu\u00e0ntics. Departament de F\u00edsica, Universitat Aut\u00f2noma de Barcelona, 08193 Bellaterra, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3583-2467","authenticated-orcid":false,"given":"Maria","family":"Moreno-Cardoner","sequence":"additional","affiliation":[{"name":"F\u00edsica Te\u00f2rica: Informaci\u00f3 i Fen\u00f2mens Qu\u00e0ntics. Departament de F\u00edsica, Universitat Aut\u00f2noma de Barcelona, 08193 Bellaterra, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8970-6127","authenticated-orcid":false,"given":"Anna","family":"Sanpera","sequence":"additional","affiliation":[{"name":"F\u00edsica Te\u00f2rica: Informaci\u00f3 i Fen\u00f2mens Qu\u00e0ntics. Departament de F\u00edsica, Universitat Aut\u00f2noma de Barcelona, 08193 Bellaterra, Spain"},{"name":"ICREA, Passeig Llu\u00eds Companys 23, 08001 Barcelona, Spain."}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"9598","published-online":{"date-parts":[[2020,5,25]]},"reference":[{"key":"0","doi-asserted-by":"publisher","unstructured":"Ronnie Kosloff. Quantum thermodynamics: A dynamical viewpoint. Entropy, 15 (6): 2100\u20132128, 2013. 10.3390\/e15062100.","DOI":"10.3390\/e15062100"},{"key":"1","doi-asserted-by":"publisher","unstructured":"Robert Alicki and David Gelbwaser-Klimovsky. Non-equilibrium quantum heat machines. New Journal of Physics, 17 (11): 115012, 2015. 10.1088\/1367-2630\/17\/11\/115012.","DOI":"10.1088\/1367-2630\/17\/11\/115012"},{"key":"2","doi-asserted-by":"publisher","unstructured":"Sebastian Restrepo, Javier Cerrillo, Philipp Strasberg, and Gernot Schaller. 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