# Emergent limit cycles and time crystal dynamics in an atom-cavity system

@article{Keler2019EmergentLC, title={Emergent limit cycles and time crystal dynamics in an atom-cavity system}, author={Hans Ke{\ss}ler and Jayson G. Cosme and Michal Hemmerling and Ludwig Mathey and Andreas Hemmerich}, journal={Physical Review A}, year={2019} }

We propose an experimental realization of a time crystal using an atomic Bose-Einstein condensate in a high finesse optical cavity pumped with laser light detuned to the blue side of the relevant atomic resonance. By mapping out the dynamical phase diagram, we identify regions in parameter space showing stable limit cycle dynamics. Since the model describing the system is time independent, the emergence of a limit cycle phase indicates the breaking of continuous time translation symmetry…

## 28 Citations

Time crystals in a shaken atom-cavity system

- PhysicsPhysical Review A
- 2019

We demonstrate the emergence of a time crystal of atoms in a high-finesse optical cavity driven by a phase-modulated transverse pump field, resulting in a shaken lattice. This shaken system exhibits…

From a continuous to a discrete time crystal in a dissipative atom-cavity system

- Physics
- 2020

We propose the dynamical stabilization of a nonequilibrium order in a driven dissipative system comprised an atomic Bose–Einstein condensate inside a high finesse optical cavity, pumped with an…

Dissipative time crystal in an atom-cavity system: Influence of trap and competing interactions

- PhysicsPhysical Review A
- 2022

While the recently realized dissipative time crystal in a laser-pumped atom-cavity system in the experiment of Keßler et al. [Phys. Rev. Lett. 127 , 043602 (2021)] is qualitatively consistent with a…

P-Band Induced Self-Organization and Dynamics with Repulsively Driven Ultracold Atoms in an Optical Cavity.

- PhysicsPhysical review letters
- 2019

A Bose-Einstein condensate strongly coupled to an optical cavity via a repulsive optical lattice is investigated, and a nonequilibrium phase with repeated intense bursts of the intracavity photon number is found, indicating nontrivial driven-dissipative dynamics.

A dissipative time crystal with or without Z2 symmetry breaking

- PhysicsNew Journal of Physics
- 2020

We study an emergent semiclassical time crystal composed of two interacting driven-dissipative bosonic modes. The system has a discrete Z2 spatial symmetry which, depending on the strength of the…

Regular and bistable steady-state superradiant phases of an atomic beam traversing an optical cavity

- Physics
- 2020

We investigate the different photon emission regimes created by a preexcited and collimated atomic beam passing through a single mode of an optical cavity. In the regime where the cavity degrees of…

Dynamical density wave order in an atom–cavity system

- Physics
- 2021

We theoretically and experimentally explore the emergence of a dynamical density wave (DW) order in a driven dissipative atom–cavity system. A Bose–Einstein condensate is placed inside a high finesse…

Cavity QED with quantum gases: new paradigms in many-body physics

- PhysicsAdvances in Physics
- 2021

We review the recent developments and the current status in the field of quantum-gas cavity QED. Since the first experimental demonstration of atomic self-ordering in a system composed of a…

Dissipation Induced Nonstationarity in a Quantum Gas.

- PhysicsPhysical review letters
- 2019

P perturbation theory for finite system sizes is used to confirm the nonstationary behavior of a driven two-component Bose-Einstein condensate coupled to an optical cavity and shows that this system is always dynamically unstable-even when mean-field theory predicts stability.

Superradiant optomechanical phases of cold atomic gases in optical resonators

- PhysicsPhysical Review A
- 2020

We theoretically analyze superradiant emission of light from a cold atomic gas, when mechanical effects of photon-atom interactions are considered. The atoms are confined within a standing-wave…

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