Interference of a thermal Tonks gas on a ring

TL;DR

This paper studies the quantum interference effects of a thermal Tonks gas on a ring, demonstrating that high-visibility fringes are achievable at nonzero temperatures using an exact quantum statistical approach.

Contribution

It introduces a nonzero temperature generalization of the Fermi-Bose mapping theorem to analyze the dynamics of impenetrable bosons on a ring.

Findings

High-visibility interference fringes are possible at nonzero temperatures.

The generalized mapping theorem accurately describes the quantum dynamics.

Thermal effects do not significantly diminish interference visibility.

Abstract

A nonzero temperature generalization of the Fermi-Bose mapping theorem is used to study the exact quantum statistical dynamics of a one-dimensional gas of impenetrable bosons on a ring. We investigate the interference produced when an initially trapped gas localized on one side of the ring is released, split via an optical-dipole grating, and recombined on the other side of the ring. Nonzero temperature is shown not to be a limitation to obtaining high visibility fringes.