Controlled preparation of phases in two-dimensional time crystals
The study of phases is useful for understanding novel states of matter. One such state of matter is time crystals which constitute periodically driven interacting many-body systems that spontaneously break time translation symmetry. Time crystals with arbitrary periods (and dimensions) can be realiz...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2021-12-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.3.043203 |
| _version_ | 1797210877098721280 |
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| author | Arkadiusz Kuroś Rick Mukherjee Florian Mintert Krzysztof Sacha |
| author_facet | Arkadiusz Kuroś Rick Mukherjee Florian Mintert Krzysztof Sacha |
| author_sort | Arkadiusz Kuroś |
| collection | DOAJ |
| description | The study of phases is useful for understanding novel states of matter. One such state of matter is time crystals which constitute periodically driven interacting many-body systems that spontaneously break time translation symmetry. Time crystals with arbitrary periods (and dimensions) can be realized using the model of Bose-Einstein condensates bouncing on periodically driven mirror(s). In this work, we identify the different phases that characterize the two-dimensional time crystal. By determining the optimal initial conditions and value of system parameters, we provide a practical route to realize a specific phase of the time crystal. These different phases can be mapped to the many-body states existing on a two-dimensional Hubbard lattice model, thereby opening up interesting opportunities for quantum simulation of many-body physics in time lattices. |
| first_indexed | 2024-04-24T10:17:34Z |
| format | Article |
| id | doaj.art-ac9795c7f4c34573a106f6e82cd8ba3a |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:17:34Z |
| publishDate | 2021-12-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-ac9795c7f4c34573a106f6e82cd8ba3a2024-04-12T17:16:37ZengAmerican Physical SocietyPhysical Review Research2643-15642021-12-013404320310.1103/PhysRevResearch.3.043203Controlled preparation of phases in two-dimensional time crystalsArkadiusz KurośRick MukherjeeFlorian MintertKrzysztof SachaThe study of phases is useful for understanding novel states of matter. One such state of matter is time crystals which constitute periodically driven interacting many-body systems that spontaneously break time translation symmetry. Time crystals with arbitrary periods (and dimensions) can be realized using the model of Bose-Einstein condensates bouncing on periodically driven mirror(s). In this work, we identify the different phases that characterize the two-dimensional time crystal. By determining the optimal initial conditions and value of system parameters, we provide a practical route to realize a specific phase of the time crystal. These different phases can be mapped to the many-body states existing on a two-dimensional Hubbard lattice model, thereby opening up interesting opportunities for quantum simulation of many-body physics in time lattices.http://doi.org/10.1103/PhysRevResearch.3.043203 |
| spellingShingle | Arkadiusz Kuroś Rick Mukherjee Florian Mintert Krzysztof Sacha Controlled preparation of phases in two-dimensional time crystals Physical Review Research |
| title | Controlled preparation of phases in two-dimensional time crystals |
| title_full | Controlled preparation of phases in two-dimensional time crystals |
| title_fullStr | Controlled preparation of phases in two-dimensional time crystals |
| title_full_unstemmed | Controlled preparation of phases in two-dimensional time crystals |
| title_short | Controlled preparation of phases in two-dimensional time crystals |
| title_sort | controlled preparation of phases in two dimensional time crystals |
| url | http://doi.org/10.1103/PhysRevResearch.3.043203 |
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