Torus bifurcation of a dissipative time crystal

• URL: http://arxiv.org/abs/2411.00155v2
• Date: Thu, 08 May 2025 13:08:16 GMT
• Title: Torus bifurcation of a dissipative time crystal
• Authors: Jayson G. Cosme, Phatthamon Kongkhambut, Anton Bölian, Richelle Jade L. Tuquero, Jim Skulte, Ludwig Mathey, Andreas Hemmerich, Hans Keßler,
• Abstract summary: We experimentally observe an instability of a dissipative continuous time crystal (CTC) towards a time crystalline state exhibiting two prominent oscillation frequencies.<n>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)
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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