Dissipation induced Tonks-Girardeau gas in an optical lattice

TL;DR

This paper theoretically demonstrates that strong inelastic two-body losses in an optical lattice can induce a Tonks-Girardeau gas, with analytical and numerical results confirming the effective fermionization and reduced loss rate.

Contribution

It introduces a novel mechanism for creating a Tonks-Girardeau gas via inelastic interactions, expanding the understanding of dissipative quantum many-body systems.

Findings

Effective Tonks-Girardeau behavior observed under strong two-body losses

Analytical expression for the effective loss rate derived

Good agreement between analytical and numerical results

Abstract

We present a theoretical investigation of a lattice Tonks-gas that is created by inelastic, instead of elastic interactions. An analytical calculation shows that in the limit of strong two-body losses, the dynamics of the system is effectively that of a Tonks gas. We also derive an analytic expression for the effective loss rate. We find good agreement between these analytical results and results from a rigorous numerical calculation. The Tonks character of the gas is visible both in a reduced effective loss rate and in the momentum distribution of the gas.