Sagnac Interferometry Using Bright Matter-Wave Solitons

TL;DR

This paper investigates the use of bright matter-wave solitons in a toroidal trap for Sagnac interferometry, analyzing phase evolution and velocity regimes through analytical and numerical methods, considering quantum uncertainty effects.

Contribution

It introduces a new approach to matter-wave Sagnac interferometry using bright solitons in a toroidal trap, with detailed phase and velocity analysis.

Findings

Identifies a velocity regime suitable for soliton Sagnac interferometry.

Provides analytical and numerical insights into phase evolution of solitons.

Considers quantum uncertainty effects on interferometry performance.

Abstract

We use an effective one-dimensional Gross-Pitaevskii equation to study bright matter-wave solitons held in a tightly confining toroidal trapping potential, in a rotating frame of reference, as they are split and recombined on narrow barrier potentials. In particular, we present an analytical and numerical analysis of the phase evolution of the solitons and delimit a velocity regime in which soliton Sagnac interferometry is possible, taking account of the effect of quantum uncertainty.