Realizing limit cycles in dissipative bosonic systems

• URL: http://arxiv.org/abs/2401.05332v2
• Date: Tue, 21 May 2024 08:57:48 GMT
• Title: Realizing limit cycles in dissipative bosonic systems
• Authors: Jim Skulte, Phatthamon Kongkhambut, Hans Keßler, Andreas Hemmerich, Ludwig Mathey, Jayson G. Cosme,
• Abstract summary: We propose a general mechanism for generating limit cycle oscillations by coupling a linear bosonic mode to a dissipative nonlinear bosonic mode. We experimentally observe LCs for the first time in an atom-cavity system with attractive optical pump lattice.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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