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arXiv · 2401.05332

Realizing limit cycles in dissipative bosonic systems

Jim Skulte·Phatthamon Kongkhambut·Hans Keßler·Andreas Hemmerich·Ludwig Mathey·Jayson G. Cosme
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Abstract

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.

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Jim Skulte, Phatthamon Kongkhambut, Hans Keßler, Andreas Hemmerich, Ludwig Mathey, Jayson G. Cosme. 2024-01-10. Realizing limit cycles in dissipative bosonic systems. https://doi.org/10.1103/physreva.109.063317

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