The one-dimensional Bose gas with strong two-body losses: the effect of the harmonic confinement

TL;DR

This paper investigates the dynamics of a one-dimensional Bose gas under strong two-body losses, revealing how harmonic confinement influences its decay and fermionization in a dissipative quantum Zeno regime.

Contribution

It introduces a theoretical framework combining rate equations and local density approximation to analyze the effects of harmonic confinement on dissipative Bose gases.

Findings

Harmonic confinement accelerates gas depopulation.

The gas exhibits anomalous depletion behavior without confinement.

A new decay regime emerges due to harmonic trapping.

Abstract

We study the dynamics of a one-dimensional Bose gas in presence of strong two-body losses. In this dissipative quantum Zeno regime, the gas fermionises and its dynamics can be described with a simple set of rate equations. Employing the local density approximation and a Boltzmann-like dynamical equation, the description is easily extended to take into account an external potential. We show that in the absence of confinement the population is depleted in an anomalous way and that the gas behaves as a low-temperature classical gas. The harmonic confinement accelerates the depopulation of the gas and introduces a novel decay regime, which we thoroughly characterise.