Realizing limit cycles in dissipative bosonic systems

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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Cited by in corpus (14)

• Quantum Origin of Limit Cycles, Fixed Points, and Critical Slowing Down
• Observation of a phase transition from a continuous to a discrete time crystal
• Self-trapping phenomenon, multistability and chaos in open anisotropic Dicke dimer
• Apparent delay of the Kibble-Zurek mechanism in quenched open systems
• Genuine Quantum effects in Dicke-type Models at large atom numbers
• Torus bifurcation of a dissipative time crystal
• Dynamical phases of a BEC in a bad optical cavity at optomechanical resonance
• Impact of quantum noise on phase transitions in an atom-cavity system with limit cycles
• Dissipative chaos and steady state of open Tavis-Cummings dimer
• Thermodynamics of coupled time crystals with an application to energy storage
• Universal quantum melting of quasiperiodic attractors in driven-dissipative cavities
• Nonequilibrium Nonlinear Effects and Dynamical Boson Condensation in a Driven-Dissipative Wannier-Stark Lattice
• Harnessing Floquet dynamics for selective metrology in few-qubit systems
• Dynamics and fragmentation of bosons in an optical lattice inside a cavity using Wannier and position bases