# Bose-Einstein condensates in the presence of Weyl spin-orbit coupling

## TL;DR

This paper explores the effects of Weyl spin-orbit coupling on two-component Bose-Einstein condensates, revealing a polarized finite-momentum phase and analyzing its properties through a mean-field phase diagram.

## Contribution

It provides the first mean-field phase diagram for Bose-Einstein condensates with Weyl spin-orbit coupling, highlighting the interplay between spin-orbit and interspecies interactions.

## Key findings

- Identification of a fully polarized, finite-momentum condensate phase
- Analysis of excitation spectrum and sound velocity in the polarized phase
- Demonstration of competing effects between spin-orbit and interspecies couplings

## Abstract

We consider two-component Bose-Einstein condensates subject to Weyl spin-orbit coupling. We obtain mean-field ground state phase diagram by variational method. In the regime where interspecies coupling is larger than intraspecies coupling, the system is found to be fully polarized and condensed at a finite momentum lying along the quantization axis. We characterize this phase by studying the excitation spectrum, the sound velocity, the quantum depletion of condensates, the shift of ground state energy, and the static structure factor. We find that spin-orbit coupling and interspecies coupling generally leads to competing effects.