Quantum mechanics of one-dimensional trapped Tonks gases

TL;DR

This paper reviews the exact ground state and quantum dynamics of one-dimensional Tonks gases, highlighting their solvability via Fermi-Bose mapping and exploring experimental approaches to realize this regime with ultracold atoms.

Contribution

It provides a comprehensive review of the exact solutions for 1D Tonks gases and discusses potential experimental methods to achieve this regime.

Findings

Exact solutions for ground state and dynamics of 1D Tonks gases

Feasibility of using Bessel beam optical traps to realize Tonks regime

Assessment of experimental approaches for ultracold atom waveguides

Abstract

Several experimental groups are currently working towards realizing quasi-one-dimensional (1D) atom waveguides and loading them with ultracold atoms. The dynamics becomes truly 1D in a regime (Tonks gas) of low temperatures and densities and large positive scattering lengths for which the transverse mode becomes frozen, in which case the many-body Schrodinger dynamics becomes exactly soluble via a Fermi-Bose mapping theorem. In this paper we review our recent work on the exact ground state and quantum dynamics of 1D Tonks gases and assess the possibility of approaching the Tonks regime using Bessel beam optical dipole traps.