Measurements of Relative Phase in Binary Mixtures of Bose-Einstein Condensates
D.S. Hall, M.R. Matthews, C.E. Wieman, E.A. Cornell

TL;DR
This paper reports on measurements of the relative phase between two Bose-Einstein condensates using a time-domain interferometer, demonstrating consistent phase differences despite spatial separation and damping.
Contribution
It introduces a method to measure and verify the stability of the relative phase in BECs over time using a separated-oscillatory-field interferometer.
Findings
The relative phase is reproducible across experimental realizations.
The phase difference persists even after spatial separation.
The method enables precise phase measurements in BEC systems.
Abstract
We have measured the relative phase of two Bose-Einstein condensates (BEC) using a time-domain separated-oscillatory-field condensate interferometer. A single two-photon coupling pulse prepares the double condensate system with a well-defined relative phase; at a later time, a second pulse reads out the phase difference accumulated between the two condensates. We find that the accumulated phase difference reproduces from realization to realization of the experiment, even after the individual components have spatially separated and their relative center-of-mass motion has damped.
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