Theory of a one-dimensional double-X atom interferometer

TL;DR

This paper develops a theoretical model for a one-dimensional double-X atom interferometer, analyzing its response to potential differences using an exactly solvable many-body approach in a low-temperature, low-density regime.

Contribution

It introduces a solvable 1D model for a double-X atom interferometer based on a generalized Fermi-Bose mapping theorem, providing new insights into its dynamics and response.

Findings

Exact solution for the many-body dynamics in the 1D regime

Analysis of interferometric response to potential differences

Identification of conditions for the regime where the model applies

Abstract

The dynamics of an atom waveguide X-junction beam splitter becomes truly 1D in a regime of low temperatures and densities and large positive scattering lengths where the transverse mode becomes frozen and the many-body Schrodinger dynamics becomes exactly soluble via a generalized Fermi-Bose mapping theorem. We analyze the interferometric response of a double-X interferometer of this type due to potential differences between the interferometer arms.