Time crystallinity in dissipative Floquet systems
We investigate the conditions under which periodically driven quantum systems subject to dissipation exhibit a stable subharmonic response. Noting that coupling to a bath introduces not only cooling but also noise, we point out that a system subject to the latter for the entire cycle tends to lose c...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2020-04-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.2.022002 |
| _version_ | 1797211470308573184 |
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| author | Achilleas Lazarides Sthitadhi Roy Francesco Piazza Roderich Moessner |
| author_facet | Achilleas Lazarides Sthitadhi Roy Francesco Piazza Roderich Moessner |
| author_sort | Achilleas Lazarides |
| collection | DOAJ |
| description | We investigate the conditions under which periodically driven quantum systems subject to dissipation exhibit a stable subharmonic response. Noting that coupling to a bath introduces not only cooling but also noise, we point out that a system subject to the latter for the entire cycle tends to lose coherence of the subharmonic oscillations, and thereby the long-time temporal symmetry breaking. We provide an example of a short-ranged two-dimensional system which does not suffer from this and therefore displays persistent subharmonic oscillations stabilized by the dissipation. We also show that this is fundamentally different from the disordered discrete time crystal previously found in closed systems, both conceptually and in its phenomenology. The framework we develop here clarifies how fully connected models constitute a special case where subharmonic oscillations are stable in the thermodynamic limit. |
| first_indexed | 2024-04-24T10:27:00Z |
| format | Article |
| id | doaj.art-635c9ba7ba6647da8d9ac3b6ac58bb60 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:27:00Z |
| publishDate | 2020-04-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-635c9ba7ba6647da8d9ac3b6ac58bb602024-04-12T16:52:16ZengAmerican Physical SocietyPhysical Review Research2643-15642020-04-012202200210.1103/PhysRevResearch.2.022002Time crystallinity in dissipative Floquet systemsAchilleas LazaridesSthitadhi RoyFrancesco PiazzaRoderich MoessnerWe investigate the conditions under which periodically driven quantum systems subject to dissipation exhibit a stable subharmonic response. Noting that coupling to a bath introduces not only cooling but also noise, we point out that a system subject to the latter for the entire cycle tends to lose coherence of the subharmonic oscillations, and thereby the long-time temporal symmetry breaking. We provide an example of a short-ranged two-dimensional system which does not suffer from this and therefore displays persistent subharmonic oscillations stabilized by the dissipation. We also show that this is fundamentally different from the disordered discrete time crystal previously found in closed systems, both conceptually and in its phenomenology. The framework we develop here clarifies how fully connected models constitute a special case where subharmonic oscillations are stable in the thermodynamic limit.http://doi.org/10.1103/PhysRevResearch.2.022002 |
| spellingShingle | Achilleas Lazarides Sthitadhi Roy Francesco Piazza Roderich Moessner Time crystallinity in dissipative Floquet systems Physical Review Research |
| title | Time crystallinity in dissipative Floquet systems |
| title_full | Time crystallinity in dissipative Floquet systems |
| title_fullStr | Time crystallinity in dissipative Floquet systems |
| title_full_unstemmed | Time crystallinity in dissipative Floquet systems |
| title_short | Time crystallinity in dissipative Floquet systems |
| title_sort | time crystallinity in dissipative floquet systems |
| url | http://doi.org/10.1103/PhysRevResearch.2.022002 |
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