# Nonequilibrium steady states of Bose-Einstein condensates with a local particle loss in double potential barriers

## TL;DR

This paper studies the stability and bistability of non-equilibrium Bose-Einstein condensates with local particle loss and double barriers, revealing hysteresis phenomena through an exactly solvable mean-field model.

## Contribution

It introduces an exactly solvable mean-field model for BECs with local loss and double barriers, demonstrating bistability and hysteresis in non-equilibrium steady states.

## Key findings

- Existence of parameter regions with two stable steady states.
- Observation of unidirectional hysteresis phenomena.
- Exact solutions enabling stability analysis.

## Abstract

We investigate stability of non-equilibrium steady states of Bose-Einstein condensates with a local one-body loss in the presence of double potential barriers. We construct an exactly solvable mean-field model, in which the local loss and the potential barriers take the form of a delta function. Using the exact solutions of our model, we show that there are parameter regions in which two steady-state solutions are dynamically stable, i.e., the model exhibits bistability. We also find that unidirectional hysteresis phenomena appear when the local-loss rate is varied in some parameter region.