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  Homogeneous Floquet time crystal protected by gauge invariance

Russomanno, A., Notarnicola, S., Surace, F. M., Fazio, R., Dalmonte, M., & Heyl, M. (2021). Homogeneous Floquet time crystal protected by gauge invariance. Physical Review Research, 2(1): 012003. doi:10.1103/PhysRevResearch.2.012003.

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1906.03185.pdf (Preprint), 850KB
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Russomanno, Angelo1, Author           
Notarnicola, Simone2, Author
Surace, Federica Maria2, Author
Fazio, Rosario2, Author
Dalmonte, Marcello2, Author
Heyl, Markus1, Author           
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1Max Planck Institute for the Physics of Complex Systems, Max Planck Society, ou_2117288              
2external, ou_persistent22              

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 MPIPKS: Time dependent processes
 Abstract: We show that homogeneous lattice gauge theories can realize nonequilibrium quantum phases with long-range spatiotemporal order protected by gauge invariance instead of disorder. We study a kicked Z(2)-Higgs gauge theory and find that it breaks the discrete temporal symmetry by a period doubling. In a limit solvable by Jordan-Wigner analysis we extensively study the time-crystal properties for large systems and further find that the spatiotemporal order is robust under the addition of a solvability-breaking perturbation preserving the Z(2) gauge symmetry. The protecting mechanism for the nonequilibrium order relies on the Hilbert space structure of lattice gauge theories, so that our results can be directly extended to other models with discrete gauge symmetries.

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 Dates: 2020-01-062021-01-01
 Publication Status: Issued
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Title: Physical Review Research
Source Genre: Journal
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Publ. Info: College Park, Maryland, United States : American Physical Society (APS)
Pages: - Volume / Issue: 2 (1) Sequence Number: 012003 Start / End Page: - Identifier: ISSN: 2643-1564
CoNE: https://pure.mpg.de/cone/journals/resource/2643-1564