Phatthamon Kongkhambut

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 bosonic model can be realized in three-level systems interacting with a quantized light mode as realized in atom-cavity systems.

Abstract We demonstrate the formation of a condensate in a dark state of momentum states, in a pumped and shaken cavity-BEC system. The system consists of an ultracold quantum gas in a high-finesse cavity, which is pumped transversely by a phase-modulated laser. This phase-modulated pumping couples the atomic ground state to a superposition of excited momentum states, which decouples from the cavity field.

Information Published In Copyright Copyright © 2022 The Authors, some rights reserved; exclusive licensee American Association for the Advancement of Science. No claim to original U.S. Government Works. Submission history Received: 14 February 2022 Accepted: 25 May 2022 Permissions Request permissions for this article. Acknowledgments H.K. thanks J. Klinder and C. Georges for helpful discussions and their support. J.G.C. thanks R. J. L. Tuquero for valuable insights and discussions.