Geometric phases and the Sagnac effect: Foundational aspects and sensing applications

TL;DR

This review explores the foundational principles of quantum geometric phases, their relation to classical phases like Aharonov-Bohm and Sagnac effects, and their applications in advanced gravitational sensing technologies.

Contribution

It provides a comprehensive overview of the theoretical foundations and practical applications of geometric phases, emphasizing their role in modern sensing devices.

Findings

Clarifies the connection between quantum and classical geometric phases.

Highlights the significance of the Sagnac effect in gravitational sensing.

Summarizes technological advancements in gyroscopes and gravitational wave detectors.

Abstract

Geometric phase is a key player in many areas of quantum science and technology. In this review article, several foundational aspects of quantum geometric phases and their relations to classical geometric phases are outlined. How the Aharonov--Bohm and Sagnac effects fit into this context is then discussed. Moreover, a concise overview of technological applications of the latter, with special emphasis on gravitational sensing, like in gyroscopes and gravitational wave detectors is presented.