Chaotic Synchronization between Atomic Clocks

Abstract

We predict synchronization of the chaotic dynamics of two atomic ensembles coupled to a heavily damped optical cavity mode. The atoms are dissipated collectively through this mode and pumped incoherently to achieve a macroscopic population of the cavity photons. Even though the dynamics of each ensemble are chaotic, their motions repeat one another. In our system, chaos first emerges via quasiperiodicity and then synchronizes. We identify the signatures of synchronized chaos, chaos, and quasiperiodicity in the experimentally observable power spectra of the light emitted by the cavity.

arXiv comment8 pages, 9 figures, published version

References in corpus (7)

• Prospects for a mHz-linewidth laser
• Quantum Synchronization of Two Ensembles of Atoms
• Chaos and Synchronized Chaos in an Earthquake Model
• Conditional Ramsey Spectroscopy with Synchronized Atoms
• Phase Synchronization between Two Superradiant Lasers
• Driven-Dissipative Dynamics of Atomic Ensembles in a Resonant Cavity I: Nonequilibrium Phase Diagram and Periodically Modulated Superradiance
• Long-lived states with well-defined spins in spin-$1/2$ homogeneous Bose gases

Cited by in corpus (9)

• Subradiant-to-Subradiant Phase Transition in the Bad Cavity Laser
• Many-body synchronisation in a classical Hamiltonian system
• Bichromatic synchronized chaos in coupled optomechanical nanoresonators
• Driven-Dissipative Dynamics of Atomic Ensembles in a Resonant Cavity I: Nonequilibrium Phase Diagram and Periodically Modulated Superradiance
• Nonlinear dynamics of the dissipative anisotropic two-photon Dicke model
• Torus bifurcation of a dissipative time crystal
• Driven-Dissipative Dynamics of Atomic Ensembles in a Resonant Cavity II: Quasiperiodic Route to Chaos and Chaotic Synchronization
• Chaotic spin-photonic states in an open periodically modulated quantum cavity
• Single-shot determination of quantum phases via continuous measurements