# Quantum corrections to a spin-orbit coupled Bose-Einstein Condensate

## TL;DR

This paper investigates how quantum fluctuations, amplified by spin-orbit coupling, alter the properties and phase boundaries of a Bose-Einstein condensate, providing detailed calculations of damping rates and quantum corrections.

## Contribution

It provides a systematic analysis of quantum corrections in spin-orbit coupled BECs, highlighting shifts in phase boundaries and decay processes not previously detailed.

## Key findings

- Quantum fluctuations modify superfluid density, spin polarizability, and sound velocity.
- The phase boundary shifts to smaller transverse fields due to quantum effects.
- Landau damping dominates quasiparticle decay even at low temperatures.

## Abstract

We study systematically the quantum corrections to a weakly interacting Bose-Einstein condensate with spin-orbit coupling. We show that quantum fluctuations, enhanced by the spin-orbit coupling, modify quantitatively the mean-field properties such as the superfluid density, spin polarizability, and sound velocity. We find that the phase boundary between the plane wave and zero momentum phases is shifted to a smaller transverse field. We also calculate the Beliaev and Landau damping rates and find that the Landau process dominates the quasiparticle decay even at low temperature.