Condensed matter physics in big discrete time crystals
Abstract We review the application of discrete time crystals created in a Bose-Einstein condensate (BEC) of ultracold atoms bouncing resonantly on an oscillating atom mirror to the investigation of condensed matter phenomena in the time dimension. Such a bouncing BEC system can exhibit dramatic brea...
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| Format: | Article |
| Language: | English |
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Springer
2022-05-01
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| Series: | AAPPS Bulletin |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/s43673-022-00041-8 |
| _version_ | 1818189938223480832 |
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| author | Peter Hannaford Krzysztof Sacha |
| author_facet | Peter Hannaford Krzysztof Sacha |
| author_sort | Peter Hannaford |
| collection | DOAJ |
| description | Abstract We review the application of discrete time crystals created in a Bose-Einstein condensate (BEC) of ultracold atoms bouncing resonantly on an oscillating atom mirror to the investigation of condensed matter phenomena in the time dimension. Such a bouncing BEC system can exhibit dramatic breaking of time-translation symmetry, allowing the creation of discrete time crystals having up to about 100 temporal lattice sites and suitable for hosting a broad range of temporal condensed matter phenomena. We first consider single-particle condensed matter phenomena in the time dimension which include Anderson localization due to temporal disorder, topological time crystals, and quasi-crystal structures in time. We then discuss many-body temporal condensed matter phenomena including Mott insulator phases in time, many-body localization in time, many-body topological time crystals and time crystals having long-range exotic interactions. We also discuss the construction of two (or three) dimensional time lattices, involving the bouncing of a BEC between two (or three) orthogonal oscillating mirrors and between two oscillating mirrors oriented at 45∘. The latter configuration supports a versatile Möbius strip geometry which can host a variety of two-dimensional time lattices including a honeycomb time lattice and a Lieb square time lattice. Finally, we discuss the construction of a six-dimensional time-space lattice based on periodically driven BECs trapped in a three-dimensional optical lattice. |
| first_indexed | 2024-12-11T23:50:46Z |
| format | Article |
| id | doaj.art-12daf66b89434f8e9b628add6f3478f4 |
| institution | Directory Open Access Journal |
| issn | 2309-4710 |
| language | English |
| last_indexed | 2024-12-11T23:50:46Z |
| publishDate | 2022-05-01 |
| publisher | Springer |
| record_format | Article |
| series | AAPPS Bulletin |
| spelling | doaj.art-12daf66b89434f8e9b628add6f3478f42022-12-22T00:45:29ZengSpringerAAPPS Bulletin2309-47102022-05-0132111610.1007/s43673-022-00041-8Condensed matter physics in big discrete time crystalsPeter Hannaford0Krzysztof Sacha1Optical Sciences Centre, Swinburne University of TechnologyInstitute of Theoretical Physics, Jagiellonian UniversityAbstract We review the application of discrete time crystals created in a Bose-Einstein condensate (BEC) of ultracold atoms bouncing resonantly on an oscillating atom mirror to the investigation of condensed matter phenomena in the time dimension. Such a bouncing BEC system can exhibit dramatic breaking of time-translation symmetry, allowing the creation of discrete time crystals having up to about 100 temporal lattice sites and suitable for hosting a broad range of temporal condensed matter phenomena. We first consider single-particle condensed matter phenomena in the time dimension which include Anderson localization due to temporal disorder, topological time crystals, and quasi-crystal structures in time. We then discuss many-body temporal condensed matter phenomena including Mott insulator phases in time, many-body localization in time, many-body topological time crystals and time crystals having long-range exotic interactions. We also discuss the construction of two (or three) dimensional time lattices, involving the bouncing of a BEC between two (or three) orthogonal oscillating mirrors and between two oscillating mirrors oriented at 45∘. The latter configuration supports a versatile Möbius strip geometry which can host a variety of two-dimensional time lattices including a honeycomb time lattice and a Lieb square time lattice. Finally, we discuss the construction of a six-dimensional time-space lattice based on periodically driven BECs trapped in a three-dimensional optical lattice.https://doi.org/10.1007/s43673-022-00041-8Time crystalsBose-Einstein condensateUltracold atomsCondensed matter |
| spellingShingle | Peter Hannaford Krzysztof Sacha Condensed matter physics in big discrete time crystals AAPPS Bulletin Time crystals Bose-Einstein condensate Ultracold atoms Condensed matter |
| title | Condensed matter physics in big discrete time crystals |
| title_full | Condensed matter physics in big discrete time crystals |
| title_fullStr | Condensed matter physics in big discrete time crystals |
| title_full_unstemmed | Condensed matter physics in big discrete time crystals |
| title_short | Condensed matter physics in big discrete time crystals |
| title_sort | condensed matter physics in big discrete time crystals |
| topic | Time crystals Bose-Einstein condensate Ultracold atoms Condensed matter |
| url | https://doi.org/10.1007/s43673-022-00041-8 |
| work_keys_str_mv | AT peterhannaford condensedmatterphysicsinbigdiscretetimecrystals AT krzysztofsacha condensedmatterphysicsinbigdiscretetimecrystals |