# Hanle model of a spin-orbit coupled Bose-Einstein condensate of excitons in semiconductor quantum wells

## TL;DR

This paper develops a theoretical model for a driven-dissipative spin-orbit coupled Bose-Einstein condensate of indirect excitons in semiconductor quantum wells, drawing analogies with the Hanle effect and aligning with recent experimental observations.

## Contribution

It introduces a novel theoretical framework for spin-orbit coupled exciton condensates, incorporating effects of boson stimulated scattering and exchange interactions, and compares with recent experimental data.

## Key findings

- Model reproduces spontaneous spatial coherence and polarization textures.
- Agreement with recent experimental observations.
- Discusses effects of in-plane magnetic fields on the system.

## Abstract

We present a theoretical model of a driven-dissipative spin-orbit coupled Bose-Einstein condensate of indirect excitons in semiconductor quantum wells (QW's). Our steady-state solution of the problem shares analogies with the Hanle effect in an optical orientation experiment. The role of the spin pump in our case is played by boson stimulated scattering into the linearly-polarized ground state and the depolarization occurs as a result of long-range exchange interaction between electrons and holes. Our theory agrees with the recent experiment [A. A. High et al., Phys. Rev. Lett. 110, 246403 (2013)], where spontaneous emergence of spatial coherence and polarization texture have been observed. As a complementary test, we discuss a configuration where an external magnetic field is applied in the structure plane.