Dynamic depletion in a Bose condensate via a sudden increase of the scattering length

TL;DR

This paper investigates how a sudden increase in scattering length causes rapid quantum depletion in a trapped Bose condensate, leading to a quick buildup of incoherent atoms within a short timescale.

Contribution

It provides a time-dependent analysis of quantum depletion following a sudden change in scattering length, highlighting the dynamics and parameter dependence.

Findings

Rapid depletion occurs within a short timescale

Depletion density depends on physical parameters

Significant incoherent atom buildup can happen quickly

Abstract

We examine the time-dependent quantum depletion of a trapped Bose condensate arising from a rapid increase of the scattering length. Our solution indicates that a significant buildup of incoherent atoms can occur within a characteristic time short compared with the harmonic trap period. We discuss how the depletion density and the characteristic time depend on the physical parameters of the condensate.