Quantum Chaos in the Extended Dicke Model
We systematically study the chaotic signatures in a quantum many-body system consisting of an ensemble of interacting two-level atoms coupled to a single-mode bosonic field, the so-called extended Dicke model. The presence of the atom–atom interaction also leads us to explore how the atomic interact...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-10-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/24/10/1415 |
| _version_ | 1797473455955771392 |
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| author | Qian Wang |
| author_facet | Qian Wang |
| author_sort | Qian Wang |
| collection | DOAJ |
| description | We systematically study the chaotic signatures in a quantum many-body system consisting of an ensemble of interacting two-level atoms coupled to a single-mode bosonic field, the so-called extended Dicke model. The presence of the atom–atom interaction also leads us to explore how the atomic interaction affects the chaotic characters of the model. By analyzing the energy spectral statistics and the structure of eigenstates, we reveal the quantum signatures of chaos in the model and discuss the effect of the atomic interaction. We also investigate the dependence of the boundary of chaos extracted from both eigenvalue-based and eigenstate-based indicators on the atomic interaction. We show that the impact of the atomic interaction on the spectral statistics is stronger than on the structure of eigenstates. Qualitatively, the integrablity-to-chaos transition found in the Dicke model is amplified when the interatomic interaction in the extended Dicke model is switched on. |
| first_indexed | 2024-03-09T20:14:44Z |
| format | Article |
| id | doaj.art-97a367ed13964a4695a2b122d955982a |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-09T20:14:44Z |
| publishDate | 2022-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-97a367ed13964a4695a2b122d955982a2023-11-24T00:03:21ZengMDPI AGEntropy1099-43002022-10-012410141510.3390/e24101415Quantum Chaos in the Extended Dicke ModelQian Wang0CAMTP-Center for Applied Mathematics and Theoretical Physics, University of Maribor, SI-2000 Maribor, SloveniaWe systematically study the chaotic signatures in a quantum many-body system consisting of an ensemble of interacting two-level atoms coupled to a single-mode bosonic field, the so-called extended Dicke model. The presence of the atom–atom interaction also leads us to explore how the atomic interaction affects the chaotic characters of the model. By analyzing the energy spectral statistics and the structure of eigenstates, we reveal the quantum signatures of chaos in the model and discuss the effect of the atomic interaction. We also investigate the dependence of the boundary of chaos extracted from both eigenvalue-based and eigenstate-based indicators on the atomic interaction. We show that the impact of the atomic interaction on the spectral statistics is stronger than on the structure of eigenstates. Qualitatively, the integrablity-to-chaos transition found in the Dicke model is amplified when the interatomic interaction in the extended Dicke model is switched on.https://www.mdpi.com/1099-4300/24/10/1415quantum chaosextended Dicke modelspectral statisticseigenstate structure |
| spellingShingle | Qian Wang Quantum Chaos in the Extended Dicke Model Entropy quantum chaos extended Dicke model spectral statistics eigenstate structure |
| title | Quantum Chaos in the Extended Dicke Model |
| title_full | Quantum Chaos in the Extended Dicke Model |
| title_fullStr | Quantum Chaos in the Extended Dicke Model |
| title_full_unstemmed | Quantum Chaos in the Extended Dicke Model |
| title_short | Quantum Chaos in the Extended Dicke Model |
| title_sort | quantum chaos in the extended dicke model |
| topic | quantum chaos extended Dicke model spectral statistics eigenstate structure |
| url | https://www.mdpi.com/1099-4300/24/10/1415 |
| work_keys_str_mv | AT qianwang quantumchaosintheextendeddickemodel |