# P-band induced self-organization and dynamics with repulsively driven ultracold atoms in an optical cavity

## TL;DR

This paper explores how ultracold atoms in an optical cavity self-organize into stable and dynamic phases due to P-band coupling, revealing new non-equilibrium behaviors in driven-dissipative quantum systems.

## Contribution

It demonstrates the role of P-band antisymmetric coupling in atom self-organization and uncovers non-trivial driven-dissipative dynamics in ultracold atom-cavity systems.

## Key findings

- Stable self-ordered phase detected
- Atoms order via P-band antisymmetric coupling
- Non-equilibrium phase with bursty photon emission observed

## Abstract

We investigate a Bose-Einstein condensate strongly coupled to an optical cavity via a repulsive optical lattice. We detect a stable self-ordered phase in this regime, and show that the atoms order through an antisymmetric coupling to the P-band of the lattice, limiting the extent of the phase and changing the geometry of the emergent density modulation. Furthermore, we find a non-equilibrium phase with repeated intense bursts of the intra-cavity photon number, indicating non-trivial driven-dissipative dynamics.