Two distinguishable impurities in BEC: squeezing and entanglement of two Bose polarons

TL;DR

This paper investigates how two impurities in a Bose-Einstein condensate exhibit entanglement and squeezing, revealing conditions for entanglement survival or sudden death influenced by external potentials and tunable parameters.

Contribution

It introduces a quantum Brownian motion model for impurities in BEC, analyzing entanglement dynamics with memory effects and external potentials.

Findings

Entanglement can abruptly vanish without external potential.

External harmonic potential allows entanglement to persist asymptotically.

Study considers experimentally tunable parameters for practical relevance.

Abstract

We study entanglement and squeezing of two uncoupled impurities immersed in a Bose-Einstein condensate. We treat them as two quantum Brownian particles interacting with a bath composed of the Bogoliubov modes of the condensate. The Langevin-like quantum stochastic equations derived exhibit memory effects. We study two scenarios: (i) In the absence of an external potential, we observe sudden death of entanglement; (ii) In the presence of an external harmonic potential, entanglement survives even at the asymptotic time limit. Our study considers experimentally tunable parameters.