# Pinning Transition of Bose-Einstein Condensates in Optical Ring Resonators

## TL;DR

This paper experimentally studies the stability of Bose-Einstein condensates in an asymmetrically pumped optical ring resonator, revealing a critical detuning beyond which the system stabilizes, supported by phase diagrams and numerical simulations.

## Contribution

It provides the first experimental analysis of the pinning transition in BECs within optical ring resonators, including phase diagrams and a geometric interpretation of the nonlinear dynamics.

## Key findings

- System becomes stable beyond a critical detuning
- Phase diagrams and quenching curves are characterized
- Numerical simulations support experimental results

## Abstract

We experimentally investigate the dynamic instability of Bose-Einstein condensates in an optical ring resonator that is asymmetrically pumped in both directions. We find that, beyond a critical resonator-pump detuning, the system becomes stable regardless of the pump strength. Phase diagrams and quenching curves are presented and described by numerical simulations. We discuss a physical explanation based on a geometric interpretation of the underlying nonlinear equations of motion.