Phys. Rev. A 105, 043311

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New article! In our paper published in Physical Review A, we numerically simulate a one-dimensional atom-cavity system and showed that stable dissipative time crystal can be observed beyond the ideal limit. Furthermore, we defined a new dynamical phase called as prethermal dissipative time crystal. Here are the details :D

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

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Richelle Jade L. Tuquero, Jim Skulte, Ludwig Mathey, and Jayson G. Cosme

Schematic diagram of the atom-cavity system and the dynamics of the atomic density for the stable and metastable dissipative time crystal.

Abstract

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 theoretical description in an idealized limit, here, we investigate the stability of this dissipative time crystal in the presence of an inhomogeneous potential provided by a harmonic trap, and competing short- and infinite-range interactions. We note that these features are ubiquitous in any realization of atom-cavity systems. By mapping out the dynamical phase diagram and studying how it is modified by the harmonic trap and short-range interactions, we demonstrate the persistence of long-lived dissipative time crystals beyond the idealized limit. We show the emergence of metastable dissipative time crystals with and without prethermalization plateaus for tight harmonic confinement and strong contact interaction, respectively.

The paper can be accessed through this link: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.105.043311