Phase diagram and optimal control for n-tupling discrete time crystal
A remarkable consequence of spontaneously breaking the time translational symmetry in a system, is the emergence of time crystals. In periodically driven systems, discrete time crystals (DTC) can be realized which have a periodicity that is n times the driving period. However, all of the experimenta...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2020-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/abb03e |
| _version_ | 1797750383714500608 |
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| author | Arkadiusz Kuroś Rick Mukherjee Weronika Golletz Frederic Sauvage Krzysztof Giergiel Florian Mintert Krzysztof Sacha |
| author_facet | Arkadiusz Kuroś Rick Mukherjee Weronika Golletz Frederic Sauvage Krzysztof Giergiel Florian Mintert Krzysztof Sacha |
| author_sort | Arkadiusz Kuroś |
| collection | DOAJ |
| description | A remarkable consequence of spontaneously breaking the time translational symmetry in a system, is the emergence of time crystals. In periodically driven systems, discrete time crystals (DTC) can be realized which have a periodicity that is n times the driving period. However, all of the experimental observations have been performed for period-doubling and period-tripling DTC. Novel physics can arise by simulating many-body physics in the time domain, which would require a genuine realisation of the n -tupling DTC. A system of ultra-cold bosonic atoms bouncing resonantly on an oscillating mirror is one of the models that can realise large period DTC. The preparation of DTC demands control in creating the initial distribution of the ultra-cold bosonic atoms along with the mirror frequency. In this work, we demonstrate that such DTC is robust against perturbations to the initial distribution of atoms. We show how Bayesian methods can be used to enhance control in the preparation of the initial state as well as to efficiently calculate the phase diagram for such a model. Moreover, we examine the stability of DTCs by analyzing quantum many-body fluctuations and show that they do not reveal signatures of heating. |
| first_indexed | 2024-03-12T16:32:58Z |
| format | Article |
| id | doaj.art-e739c2994c8e4c4badf0a6bdab4d4399 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:32:58Z |
| publishDate | 2020-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-e739c2994c8e4c4badf0a6bdab4d43992023-08-08T15:26:47ZengIOP PublishingNew Journal of Physics1367-26302020-01-0122909500110.1088/1367-2630/abb03ePhase diagram and optimal control for n-tupling discrete time crystalArkadiusz Kuroś0https://orcid.org/0000-0002-3448-4037Rick Mukherjee1https://orcid.org/0000-0001-9267-4421Weronika Golletz2https://orcid.org/0000-0002-8639-0227Frederic Sauvage3Krzysztof Giergiel4Florian Mintert5Krzysztof Sacha6Instytut Fizyki Teoretycznej, Uniwersytet Jagielloński , ulica Profesora Stanisława Łojasiewicza 11, PL-30-348 Kraków, PolandBlackett Laboratory, Imperial College London , SW7 2AZ, United KingdomInstytut Fizyki Teoretycznej, Uniwersytet Jagielloński , ulica Profesora Stanisława Łojasiewicza 11, PL-30-348 Kraków, PolandBlackett Laboratory, Imperial College London , SW7 2AZ, United KingdomInstytut Fizyki Teoretycznej, Uniwersytet Jagielloński , ulica Profesora Stanisława Łojasiewicza 11, PL-30-348 Kraków, PolandBlackett Laboratory, Imperial College London , SW7 2AZ, United KingdomInstytut Fizyki Teoretycznej, Uniwersytet Jagielloński , ulica Profesora Stanisława Łojasiewicza 11, PL-30-348 Kraków, PolandA remarkable consequence of spontaneously breaking the time translational symmetry in a system, is the emergence of time crystals. In periodically driven systems, discrete time crystals (DTC) can be realized which have a periodicity that is n times the driving period. However, all of the experimental observations have been performed for period-doubling and period-tripling DTC. Novel physics can arise by simulating many-body physics in the time domain, which would require a genuine realisation of the n -tupling DTC. A system of ultra-cold bosonic atoms bouncing resonantly on an oscillating mirror is one of the models that can realise large period DTC. The preparation of DTC demands control in creating the initial distribution of the ultra-cold bosonic atoms along with the mirror frequency. In this work, we demonstrate that such DTC is robust against perturbations to the initial distribution of atoms. We show how Bayesian methods can be used to enhance control in the preparation of the initial state as well as to efficiently calculate the phase diagram for such a model. Moreover, we examine the stability of DTCs by analyzing quantum many-body fluctuations and show that they do not reveal signatures of heating.https://doi.org/10.1088/1367-2630/abb03ediscrete time crystalsultra-cold atomsBayesian optimization |
| spellingShingle | Arkadiusz Kuroś Rick Mukherjee Weronika Golletz Frederic Sauvage Krzysztof Giergiel Florian Mintert Krzysztof Sacha Phase diagram and optimal control for n-tupling discrete time crystal New Journal of Physics discrete time crystals ultra-cold atoms Bayesian optimization |
| title | Phase diagram and optimal control for n-tupling discrete time crystal |
| title_full | Phase diagram and optimal control for n-tupling discrete time crystal |
| title_fullStr | Phase diagram and optimal control for n-tupling discrete time crystal |
| title_full_unstemmed | Phase diagram and optimal control for n-tupling discrete time crystal |
| title_short | Phase diagram and optimal control for n-tupling discrete time crystal |
| title_sort | phase diagram and optimal control for n tupling discrete time crystal |
| topic | discrete time crystals ultra-cold atoms Bayesian optimization |
| url | https://doi.org/10.1088/1367-2630/abb03e |
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