Quantum Enhanced Measurement of Rotations with a Spin-1 Bose-Einstein Condensate in a Ring Trap

TL;DR

This paper proposes a quantum-enhanced rotation sensor using a spin-1 Bose-Einstein condensate in a ring trap, leveraging spin-squeezing and bosonic amplification to improve measurement sensitivity.

Contribution

It introduces a model for a spin-squeezed rotation sensor utilizing the Sagnac effect in a ring-shaped BEC, combining analytical and numerical analysis for realistic conditions.

Findings

Significant quantum enhancement is achievable in the proposed sensor.

Strong atomic interactions partially degrade the quantum enhancement.

The ring geometry offers advantages over traditional separated beam path sensors.

Abstract

We present a model of a spin-squeezed rotation sensor utilising the Sagnac effect in a spin-1 Bose-Einstein condensate in a ring trap. The two input states for the interferometer are seeded using Raman pulses with Laguerre-Gauss beams and are amplified by the bosonic enhancement of spin-exchange collisions, resulting in spin-squeezing and potential quantum enhancement in the interferometry. The ring geometry has an advantage over separated beam path atomic rotation sensors due to the uniform condensate density. We model the interferometer both analytically and numerically for realistic experimental parameters and find that significant quantum enhancement is possible, but this enhancement is partially degraded when working in a regime with strong atomic interactions.