Radiation from accelerated impurities in Bose-Einstein condensate

TL;DR

This paper studies the radiation emitted by accelerated impurities in a Bose-Einstein condensate, deriving formulas for the spectrum and analyzing specific cases, revealing non-Planckian radiation patterns.

Contribution

It provides a general integral formula for radiation spectra from accelerated impurities in BECs and explores the physical implications of different impurity trajectories.

Findings

Planckian spectrum for a special unphysical acceleration

Non-Planckian spectrum observed for uniform acceleration

Comparison with other quantum many-body systems

Abstract

We investigate radiation spectra arising from accelerated point-like impurities in the homogeneous Bose-Einstein condensate. A general formula for the radiation spectrum is obtained in the integral form as a function of given impurity trajectory. The Planckian spectrum is obtained for a special accelerated motion, which is shown to be unphysical. Non-Planckian spectrum is found in the case of a uniformly accelerated impurity. We compare our result with similar settings as discussed in other quantum many-body systems.