Realizing limit cycles in dissipative bosonic systems
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arXiv
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| Autores principales: | , , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866914833255890944 |
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| author | Skulte, Jim Kongkhambut, Phatthamon Keßler, Hans Hemmerich, Andreas Mathey, Ludwig Cosme, Jayson G. |
| author_facet | Skulte, Jim Kongkhambut, Phatthamon Keßler, Hans Hemmerich, Andreas Mathey, Ludwig Cosme, Jayson G. |
| contents | We propose a general mechanism for generating limit cycle (LC) oscillations by coupling a linear bosonic mode to a dissipative nonlinear bosonic mode. By analyzing the stability matrix, we show that LCs arise due to a supercritical Hopf bifurcation. We find that the existence of LCs is independent of the sign of the effective nonlinear interaction. The LC phase can be classified as a continuous time crystal (CTC), if it emerges in a many-body system. The bosonic model can be realised in three-level systems interacting with a quantised light mode as realised in atom-cavity systems. Using such a platform, we experimentally observe LCs for the first time in an atom-cavity system with attractive optical pump lattice, thereby confirming our theoretical predictions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_05332 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Realizing limit cycles in dissipative bosonic systems Skulte, Jim Kongkhambut, Phatthamon Keßler, Hans Hemmerich, Andreas Mathey, Ludwig Cosme, Jayson G. Quantum Gases Quantum Physics We propose a general mechanism for generating limit cycle (LC) oscillations by coupling a linear bosonic mode to a dissipative nonlinear bosonic mode. By analyzing the stability matrix, we show that LCs arise due to a supercritical Hopf bifurcation. We find that the existence of LCs is independent of the sign of the effective nonlinear interaction. The LC phase can be classified as a continuous time crystal (CTC), if it emerges in a many-body system. The bosonic model can be realised in three-level systems interacting with a quantised light mode as realised in atom-cavity systems. Using such a platform, we experimentally observe LCs for the first time in an atom-cavity system with attractive optical pump lattice, thereby confirming our theoretical predictions. |
| title | Realizing limit cycles in dissipative bosonic systems |
| topic | Quantum Gases Quantum Physics |
| url | https://arxiv.org/abs/2401.05332 |