Phase-space geometric Sagnac interferometer for rotation sensing

TL;DR

This paper proposes a phase-space geometric Sagnac interferometer using trapped atomic clocks for rotation sensing, which is robust against noise and can achieve high precision near the quantum limit.

Contribution

It introduces a novel geometric Sagnac interferometer scheme based on phase-space features with specific criteria for geometric phase realization and discusses its experimental feasibility.

Findings

Can reach the quantum Cramér-Rao bound for precision

Robust to certain decoherence noises

Feasible with current experimental techniques

Abstract

Quantum information processing with geometric features of quantum states may provide promising noise-resilient schemes for quantum metrology. In this work, we theoretically explore phase-space geometric Sagnac interferometers with trapped atomic clocks for rotation sensing, which could be intrinsically robust to certain decoherence noises and reach high precision. With the wave guide provided by sweeping ring-traps, we give criteria under which the well-known Sagnac phase is a pure or unconventional geometric phase with respect to the phase space. Furthermore, corresponding schemes for geometric Sagnac interferometers with designed sweeping angular velocity and interrogation time are presented, and the experimental feasibility is also discussed. Such geometric Sagnac interferometers are capable of saturating the ultimate precision limit given by the quantum Cram\'er-Rao bound.