Non-Linear Beam Splitter in Bose-Einstein Condensate Interferometers

TL;DR

This paper investigates how non-linear interactions in a Bose-Einstein Condensate beam splitter affect the phase sensitivity of a Mach-Zehnder interferometer across different dynamical regimes, revealing regime-dependent scaling behaviors.

Contribution

It introduces a detailed analysis of the impact of non-linear interactions on interferometer sensitivity in various dynamical regimes of a BEC beam splitter.

Findings

Sensitivity degradation varies across Rabi, Josephson, and Fock regimes.

Different regimes exhibit distinct phase sensitivity scaling laws.

Non-linear interactions significantly influence interferometric performance.

Abstract

A beam splitter is an important component of an atomic/optical Mach-Zehnder interferometer. Here we study a Bose Einstein Condensate beam splitter, realized with a double well potential of tunable height. We analyze how the sensitivity of a Mach Zehnder interferometer is degraded by the non-linear particle-particle interaction during the splitting dynamics. We distinguish three regimes, Rabi, Josephson and Fock, and associate to them a different scaling of the phase sensitivity with the total number of particles.