# Roton-induced Bose polaron in the presence of synthetic spin-orbit coupling

## TL;DR

This paper explores how spin-orbit coupling-induced roton features in a Bose-Einstein condensate significantly alter impurity quasiparticle properties, revealing a phase transition from phonon to roton-induced polarons.

## Contribution

It introduces a theoretical analysis of Bose polarons in spin-orbit coupled condensates, highlighting the impact of roton minima on polaron behavior and phase transitions.

## Key findings

- Roton minima cause nonzero momentum and anisotropic effective mass in polarons.
- A first-order phase transition occurs from phonon to roton-induced polarons.
- Polaron evolution becomes non-smooth near the roton structure.

## Abstract

We theoretically investigate the quasiparticle (polaron) properties of an impurity immersing in a Bose-Einstein condensate with equal Rashba and Dresselhaus spin-orbit coupling at zero temperature. In the presence of spin-orbit coupling, all bosons can condense into a single plane-wave state with finite momentum, and the corresponding excitation spectrum shows an intriguing roton minimum. We find that the polaron properties are strongly modified by this roton minimum, where the ground state of attractive polaron acquires a nonzero momentum and anisotropic effective mass. Across the resonance of the interaction between impurity and atoms, the polaron evolves into a tight-binding dimer. We show that the evolution is not smooth when the roton structure of the condensate becomes apparent, and a first-order phase transition from a phonon-induced polaron to a roton-induced polaron is observed at a critical interaction strength.