# Self-Ordered Limit Cycles, Chaos, and Phase Slippage with a Superfluid inside an Optical Resonator.

@article{Piazza2015SelfOrderedLC, title={Self-Ordered Limit Cycles, Chaos, and Phase Slippage with a Superfluid inside an Optical Resonator.}, author={Francesco Piazza and Helmut Ritsch}, journal={Physical review letters}, year={2015}, volume={115 16}, pages={ 163601 } }

We study dynamical phases of a driven Bose-Einstein condensate coupled to the light field of a high-Q optical cavity. For high field seeking atoms at red detuning the system is known to show a transition from a spatially homogeneous steady state to a self-ordered regular lattice exhibiting superradiant scattering into the cavity. For blue atom pump detuning the particles are repelled from the maxima of the light-induced optical potential suppressing scattering. We show that this generates a new…

## 42 Citations

### Pathway to chaos through hierarchical superfluidity in blue-detuned cavity-BEC systems

- Physics
- 2020

We explore the role of atomic correlations in a harmonically trapped Bose-Einstein condensate coupled to a dissipative cavity where both the atoms and the cavity are blue-detuned from the external…

### Self-Adapted Floquet Dynamics of Ultracold Bosons in a Cavity.

- PhysicsPhysical review letters
- 2018

A new type of Floquet physics for a Bose-Einstein condensate subject to a shook lattice generated inside a cavity, where the shaken lattice and atomic Floquet bands are mutually dependent, resulting in self-adapted Floquet dynamics.

### Superfluid–Mott-insulator transition of ultracold superradiant bosons in a cavity

- PhysicsPhysical Review A
- 2019

We investigate harmonically-trapped, laser-pumped bosons with infinite-range interactions induced by a dissipative high-finesse red-detuned optical cavity with numerical and analytical methods. We…

### Ultracold bosons with cavity-mediated long-range interactions: A local mean-field analysis of the phase diagram

- Physics
- 2016

Ultracold bosonic atoms in optical lattices self-organize into a variety of structural and quantum phases when placed into a single-mode cavity and pumped by a laser. Cavity optomechanical effects…

### Self-bound droplet clusters in laser-driven Bose-Einstein condensates

- Physics
- 2021

We investigate a two-dimensional Bose-Einstein condensate that is optically driven via a retro-reflecting mirror, forming a single optical feedback loop. This induces a peculiar type of long-range…

### Cavity-induced emergent topological spin textures in a Bose–Einstein condensate

- PhysicsNew Journal of Physics
- 2019

The coupled nonlinear dynamics of ultracold quantum matter and electromagnetic field modes in an optical resonator exhibits a wealth of intriguing collective phenomena. Here we study a Λ-type,…

### 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…

### Dissipation-induced structural instability and chiral dynamics in a quantum gas

- PhysicsScience
- 2019

In a regime of dominant dissipative coupling, the chiral evolution is observed and related to a positional instability and is observed in a synthetic many-body system with independently controllable unitary and dissipative couplings.

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

- PhysicsNew Journal of 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…

### 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…

## References

SHOWING 1-10 OF 14 REFERENCES

### Science 322

- 235
- 2008

### Nature 464

- 1301
- 2010

### Europhys

- Lett. 96, 43001
- 2011

### for details about heating rates, the limit-cycle frequency

### and H

- J. Kimble, Nat Commun 5
- 2014

### andW . Zwerger

- Phys . Rev . Lett .

### Stamper-Kurn, in Cavity

- Optomechanics (Springer,
- 2014

### Nature (London) 450

- 272
- 2007

### Physics Reports 438

- 237
- 2007