Harvesting entanglement from the Lorentz-violating quantum field vacuum in a dipolar Bose-Einstein condensate

TL;DR

This paper proposes a feasible experimental scheme using a dipolar Bose-Einstein condensate to study how nonclassical correlations, specifically entanglement, can be extracted from a Lorentz-violating quantum vacuum, revealing unique parameter dependencies.

Contribution

It introduces a novel platform for entanglement harvesting from a Lorentz-violating quantum field using impurities in a dipolar BEC, highlighting effects of Lorentz violation on optimal detector configurations.

Findings

Smoother detector switchings do not improve entanglement harvesting in Lorentz-violating fields.

Lorentz-invariance violation shifts optimal detector energy structures for entanglement extraction.

The proposed setup is experimentally feasible for testing Lorentz-violating quantum field effects.

Abstract

We theoretically propose an experimentally viable scheme to explore the transfer of nonclassical correlations from a dipolar Bose-Einstein condensate (BEC) to a pair of impurities immersed in it. Operating at ultra-low temperature, density fluctuations of the dipolar BEC emulate a vacuum field with Lorentz-violating dispersion, while the two impurities function as Unruh-DeWitt detectors for the BEC quasiparticles. We study the harvesting of entanglement from the quantum vacuum of this analogue Lorentz-violating quantum field by spatially separated Unruh-DeWitt detectors. Our analysis reveals key parameter dependencies that optimize the harvesting of entanglement. In particular, unlike the Lorentz-invariant case, smoother detector switchings does not enhance the entanglement harvesting efficiency from the Lorentz-violating quantum field vacuum. Moreover, the strength of the Lorentz-invariant violation can shift the optimal energy structure of the detectors for harvesting entanglement from the Lorentz-violating quantum field vacuum-a clear deviation from the Lorentz-invariant scenario. As a fundamental quantum mechanical setup, our quantum fluid platform provides an experimentally realizable testbed for examining the entanglement harvesting protocol from an effective Lorentz-violating quantum field vacuum using a pair of impurity probers, which may also has potential implications for exploring the Lorentz-invariant violation in quantum field theory.