Classical and quantum chaos in chirally-driven, dissipative Bose-Hubbard systems
Abstract We study the dissipative Bose-Hubbard model on a small ring of sites in the presence of a chiral drive and explore its long-time dynamical structure using the mean-field equations and by simulating the quantum master equation. Remarkably, for large enough drivings, we find that the system a...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2022-02-01
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| Series: | npj Quantum Information |
| Online Access: | https://doi.org/10.1038/s41534-022-00518-2 |
| _version_ | 1819277012846510080 |
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| author | Daniel Dahan Geva Arwas Eytan Grosfeld |
| author_facet | Daniel Dahan Geva Arwas Eytan Grosfeld |
| author_sort | Daniel Dahan |
| collection | DOAJ |
| description | Abstract We study the dissipative Bose-Hubbard model on a small ring of sites in the presence of a chiral drive and explore its long-time dynamical structure using the mean-field equations and by simulating the quantum master equation. Remarkably, for large enough drivings, we find that the system admits, in a wide range of parameters, a chaotic attractor at the mean-field level, which manifests as a complex Wigner function on the quantum level. The latter is shown to have the largest weight around the approximate region of phase space occupied by the chaotic attractor. We demonstrate that this behavior could be revealed via measurement of various bosonic correlation functions. In particular, we employ open system methods to calculate the out-of-time-ordered correlator, whose exponential growth signifies a positive quantum Lyapunov exponent in our system. This can open a pathway to the study of chaotic dynamics in interacting systems of photons. |
| first_indexed | 2024-12-23T23:49:21Z |
| format | Article |
| id | doaj.art-4dfc2f1923274ad39f2e41471d1b556c |
| institution | Directory Open Access Journal |
| issn | 2056-6387 |
| language | English |
| last_indexed | 2024-12-23T23:49:21Z |
| publishDate | 2022-02-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | npj Quantum Information |
| spelling | doaj.art-4dfc2f1923274ad39f2e41471d1b556c2022-12-21T17:25:26ZengNature Portfolionpj Quantum Information2056-63872022-02-01811610.1038/s41534-022-00518-2Classical and quantum chaos in chirally-driven, dissipative Bose-Hubbard systemsDaniel Dahan0Geva Arwas1Eytan Grosfeld2Department of Physics, Ben-Gurion University of the NegevDepartment of Physics of Complex Systems, Weizmann Institute of ScienceDepartment of Physics, Ben-Gurion University of the NegevAbstract We study the dissipative Bose-Hubbard model on a small ring of sites in the presence of a chiral drive and explore its long-time dynamical structure using the mean-field equations and by simulating the quantum master equation. Remarkably, for large enough drivings, we find that the system admits, in a wide range of parameters, a chaotic attractor at the mean-field level, which manifests as a complex Wigner function on the quantum level. The latter is shown to have the largest weight around the approximate region of phase space occupied by the chaotic attractor. We demonstrate that this behavior could be revealed via measurement of various bosonic correlation functions. In particular, we employ open system methods to calculate the out-of-time-ordered correlator, whose exponential growth signifies a positive quantum Lyapunov exponent in our system. This can open a pathway to the study of chaotic dynamics in interacting systems of photons.https://doi.org/10.1038/s41534-022-00518-2 |
| spellingShingle | Daniel Dahan Geva Arwas Eytan Grosfeld Classical and quantum chaos in chirally-driven, dissipative Bose-Hubbard systems npj Quantum Information |
| title | Classical and quantum chaos in chirally-driven, dissipative Bose-Hubbard systems |
| title_full | Classical and quantum chaos in chirally-driven, dissipative Bose-Hubbard systems |
| title_fullStr | Classical and quantum chaos in chirally-driven, dissipative Bose-Hubbard systems |
| title_full_unstemmed | Classical and quantum chaos in chirally-driven, dissipative Bose-Hubbard systems |
| title_short | Classical and quantum chaos in chirally-driven, dissipative Bose-Hubbard systems |
| title_sort | classical and quantum chaos in chirally driven dissipative bose hubbard systems |
| url | https://doi.org/10.1038/s41534-022-00518-2 |
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