Space-Time Area in Atom Interferometry
Gordon D. McDonald, Carlos C. N. Kuhn
TL;DR
This paper derives a general expression for the phase shift in atom interferometers, emphasizing the role of space-time area and inertial effects, and analyzes different configurations through a geometric lens.
Contribution
It provides a comprehensive derivation of the phase shift formula for various atom interferometer configurations, highlighting the significance of space-time area and inertial contributions.
Findings
The phase shift is proportional to the space-time area enclosed.
Inertial effects dominate the phase shift under certain conditions.
Geometric interpretation aids in understanding different interferometer setups.
Abstract
It is a commonly stated that the acceleration sensitivity of an atom interferometer is proportional to the space-time area enclosed between the two interfering arms. Here we derive the interferometric phase shift for an extensive class of interferometers, and explore the circumstances in which only the inertial terms contribute. We then analyse various configurations in light of this geometric interpretation of the interferometric phase shift.
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Taxonomy
TopicsAdvanced Materials Characterization Techniques · History and advancements in chemistry