Phase-space geometric Sagnac interferometer for rotation sensing

Abstract

Quantum information processing with geometric features of quantum states may provide promising noiseresilient 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 Cramér-Rao bound.

Geometric Phases and The Sagnac Effect: Foundational Aspects and Sensing Applications

“…[159] Because they support the atoms against gravity, the traps present longer measurement times without requiring large dropping distances, which otherwise would be challenging for matter-waves. With that, configurations using trapped atomic clocks [152,160] were shown to saturate the quantum Cramér-Rao bound. Moreover, entanglement-enhanced atomic gyroscopes with atoms trapped in an optical ring potential were proposed to achieve a precision of the order given by the Heisenberg limit.…”

“…In fact, geometric phases depend exclusively on global variables and are, thus, intrinsically immune to local noise disturbances that preserve these geometric features. [31,152] Because of that, measurements of effects based on geometric phases can provide high-precision quantum sensing in real-world scenarios.…”

Two-parameter estimation in a matter-wave Sagnac interferometer

“…1. Such an effect is very useful in quantum estimation experiments [34][35][36], adding the fact that preparing a cyclic interferometer is not difficult under current technical conditions, recently many works about quantum estimation are done on the basis of the Sagnac interferometer [15,16,[37][38][39][40][41], so do us in this paper. We discussed the performance of a Sagnac interferometer in the multiparameter estimation process.…”

Two-parameter estimation with three-mode NOON state in a symmetric three-well system

“…The quantum parameter estimation theory [1,2] and Fisher information, as crucial tools in quantum metrology, provide theoretical bases for us to study enhancing the accuracy of parameter estimation with quantum resources. In the previous researches on the parameter estimation, the singleparameter estimation has been well studied and a series of achievements have been made [3][4][5], such as gravitational wave detection [6], magnetometry [7][8][9], atomic clocks [10][11][12][13][14].…”