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  Condensed matter physics in time crystals

Guo, L., & Liang, P. (2020). Condensed matter physics in time crystals. New Journal of Physics, (22): 075003. doi:10.1088/1367-2630/ab9d54.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0006-EE50-4 Version Permalink: http://hdl.handle.net/21.11116/0000-0006-EE51-3
Genre: Journal Article

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 Creators:
Guo, Lingzhen1, Author
Liang, Pengfei2, 3, Author
Affiliations:
1Marquardt Division, Max Planck Institute for the Science of Light, Max Planck Society, Staudtstraße 2, 91058 Erlangen, DE, ou_2421700              
2Beijing Computational Science Research Center, 100193 Beijing, China, ou_persistent22              
3Abdus Salam ICTP, Strada Costiera 11, 34151 Trieste, Italy, ou_persistent22              

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 Abstract: Time crystals are physical systems whose time translation symmetry is spontaneously broken. Although the spontaneous breaking of continuous time-translation symmetry in static systems is proved impossible for the equilibrium state, the discrete time-translation symmetry in periodically driven (Floquet) systems is allowed to be spontaneously broken, resulting in the so-called Floquet or discrete time crystals. While most works so far searching for time crystals focus on the symmetry breaking process and the possible stabilising mechanisms, the many-body physics from the interplay of symmetry-broken states, which we call the condensed matter physics in time crystals, is not fully explored yet. This review aims to summarise the very preliminary results in this new research field with an analogous structure of condensed matter theory in solids. The whole theory is built on a hidden symmetry in time crystals, i.e., the phase space lattice symmetry, which allows us to develop the band theory, topology and strongly correlated models in phase space lattice. In the end, we outline the possible topics and directions for the future research.

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Language(s): eng - English
 Dates: 2020-07-31
 Publication Status: Published in print
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 Identifiers: DOI: 10.1088/1367-2630/ab9d54
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Title: New Journal of Physics
  Abbreviation : New J. Phys.
Source Genre: Journal
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Publ. Info: Bristol : IOP Publishing
Pages: - Volume / Issue: (22) Sequence Number: 075003 Start / End Page: - Identifier: ISSN: 1367-2630
CoNE: https://pure.mpg.de/cone/journals/resource/954926913666