Three-Body Losses in Trapped Bose-Einstein Condensed Gases

TL;DR

This paper develops a generalized time-dependent Kohn-Sham-like framework to analyze three-body losses in trapped Bose-Einstein condensates, revealing significant non-mean field corrections due to inelastic collisions.

Contribution

It introduces a generalized adiabatic equation for inelastic collisions in BECs, enabling calculation of nonlinear dynamics and three-body recombination effects beyond mean-field theory.

Findings

Corrections are 13 times larger in 3D trapped dilute gases.

Corrections are 7 times larger in 1D trapped weakly interacting gases.

Significant non-mean field effects due to three-body losses.

Abstract

A time-dependent Kohn-Sham (KS)-like equation for N bosons in a trap is generalized for the case of inelastic collisions. We derive adiabatic equations which are used to calculate the nonlinear dynamics of the Bose-Einstein condensate (BEC) and non-mean field corrections due to the three-body recombination. We find that the calculated corrections are about 13 times larger for 3D trapped dilute bose gases and about 7 times larger for 1D trapped weakly interacting bose gases when compared with the corresponding corrections for the ground state energy and for the collective frequencies.