Torus bifurcation of a dissipative time crystal
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arXiv
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| Main Authors: | , , , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866912413613293568 |
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| author | Cosme, Jayson G. Kongkhambut, Phatthamon Bölian, Anton Tuquero, Richelle Jade L. Skulte, Jim Mathey, Ludwig Hemmerich, Andreas Keßler, Hans |
| author_facet | Cosme, Jayson G. Kongkhambut, Phatthamon Bölian, Anton Tuquero, Richelle Jade L. Skulte, Jim Mathey, Ludwig Hemmerich, Andreas Keßler, Hans |
| contents | Using a quantum gas setup consisting of a Bose-Einstein condensate strongly coupled to a high-finesse optical cavity by a transverse pump laser, we experimentally observe an instability of a dissipative continuous time crystal (CTC) towards a time crystalline state exhibiting two prominent oscillation frequencies. Applying a mean-field approximation model and a Floquet analysis, we theoretically confirm that this transition is a manifestation in a many-body system of a torus bifurcation between a limit cycle (LC) and a limit torus (LT). We theoretically illustrate the LC and LT attractors using the minimal model and experimentally reconstruct them using Takens' embedding theorem applied to the non-destructively measured intracavity photon dynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_00155 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Torus bifurcation of a dissipative time crystal Cosme, Jayson G. Kongkhambut, Phatthamon Bölian, Anton Tuquero, Richelle Jade L. Skulte, Jim Mathey, Ludwig Hemmerich, Andreas Keßler, Hans Quantum Gases Adaptation and Self-Organizing Systems Quantum Physics Using a quantum gas setup consisting of a Bose-Einstein condensate strongly coupled to a high-finesse optical cavity by a transverse pump laser, we experimentally observe an instability of a dissipative continuous time crystal (CTC) towards a time crystalline state exhibiting two prominent oscillation frequencies. Applying a mean-field approximation model and a Floquet analysis, we theoretically confirm that this transition is a manifestation in a many-body system of a torus bifurcation between a limit cycle (LC) and a limit torus (LT). We theoretically illustrate the LC and LT attractors using the minimal model and experimentally reconstruct them using Takens' embedding theorem applied to the non-destructively measured intracavity photon dynamics. |
| title | Torus bifurcation of a dissipative time crystal |
| topic | Quantum Gases Adaptation and Self-Organizing Systems Quantum Physics |
| url | https://arxiv.org/abs/2411.00155 |