Rotational Response of Two-Component Bose-Einstein Condensates in Ring Traps

TL;DR

This paper investigates how two-component Bose-Einstein condensates in ring traps respond to rotation, analyzing Sagnac phase accumulation through population oscillations and density fringes, with mean-field interactions considered.

Contribution

It provides a detailed analysis of the rotational response of two-component BECs in ring traps, including interaction effects and dynamical fidelity assessment.

Findings

Response characterized by Sagnac phase accumulation

Population oscillations and density fringes as indicators

Interactions influence the dynamical fidelity

Abstract

We consider a two-component Bose-Einstein condensate (BEC) in a ring trap in a rotating frame, and show how to determine the response of such a configuration to being in a rotating frame, via accumulation of a Sagnac phase. This may be accomplished either through population oscillations, or the motion of spatial density fringes. We explicitly include the effect of interactions via a mean-field description, and study the fidelity of the dynamics relative to an ideal configuration.