English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We investigate the physics of a gas of ultracold atoms coupled to threesingle-mode optical cavities and transversely pumped with a laser. Recent workhas demonstrated that, for two cavities, the $\mathbb{Z}_{2}$ symmetries ofeach cavity can be combined into a global $U(1)$ symmetry. Here, we show thatwhen adding an extra cavity mode, the low-energy description of this system canadditionally exhibit an $SO(3)$ rotational symmetry which can be spontaneouslybroken. This leads to a superradiant phase transition in all the cavitiessimultaneously, and the appearance of Goldstone and amplitude modes in theexcitation spectrum. We determine the phase diagram of the system, which showsthe emergence and breaking of the continuous symmetries and displays first- andsecond-order phase transitions. We also obtain the excitation spectrum for eachphase and discuss the atomic self-organized structures that emerge in thedifferent superradiant phases. We argue that coupling the atoms equally to $n$different modes will in general generate a global $SO(n)$ symmetry if the modefrequencies can be tuned to the same value.

Emergence of continuous rotational symmetries in ultracold atoms coupled to optical cavities