# Localization and self-trapping in driven-dissipative polariton condensates

## TL;DR

This paper explores how driven-dissipative polariton condensates in a double-well system exhibit localization and self-trapping phenomena, influenced by nonlinear effects, asymmetrical pumping, and external parameters.

## Contribution

It introduces a modified Gross-Pitaevskii framework to analyze steady-states and mode trapping in asymmetrically pumped two-mode polariton systems.

## Key findings

- Multiple steady-states with distinct density and phase profiles
- Transitions between condensate modes can be controlled by system parameters
- Conditions for potential trapping of a condensate mode are identified

## Abstract

We study driven-dissipative Bose-Einstein condensates in a two-mode Josephson system, such as a double-well potential, with asymmetrical pumping. We investigate nonlinear effects on the condensate populations and mode transitions. The generalized Gross-Pitaevskii equations are modified in order to treat pumping of only a single mode. We characterize the steady-state solutions in such a system as well as criteria for potential trapping of a condensate mode. There are many possible steady-states, with different density and/or phase profiles. Transitions between different condensate modes can be induced by varying the parameters of the junction or the initial conditions, or by applying external fields.