Atomic Bright Soliton Interferometry

TL;DR

This paper analytically characterizes the nonlinear interference patterns of atomic bright solitons and proposes their use in high-precision interferometry for measuring physical quantities like gravity in Bose-Einstein condensates.

Contribution

It introduces a method to utilize atomic bright soliton interference patterns for precise measurements, expanding the application of soliton interferometry.

Findings

Interference pattern properties depend on velocity, phase, and interaction strength.

Proposed atomic soliton interferometry can measure gravity acceleration with high precision.

Results applicable to various nonlinear systems beyond cold atoms.

Abstract

The properties of nonlinear interference pattern between atomic bright solitons are characterized analytically, with the aid of exact solutions of dynamical equation in mean-field approximation. It is shown that relative velocity, relative phase, and nonlinear interaction strength can be measured from the interference pattern. The nonlinear interference properties are proposed to design atomic soliton interferometry in Bose-Einstein condensate. As an example, we apply them to measure gravity acceleration in a ultra-cold atom systems with a high precision degree. The results are also meaningful for precise measurements in optical fiber, water wave tank, plasma, and other nonlinear systems.