Phase-diffusion dynamics in weakly coupled Bose-Einstein condensates
Erez Boukobza, Maya Chuchem, Doron Cohen, and Amichay Vardi

TL;DR
This paper investigates the phase-diffusion dynamics in weakly coupled Bose-Einstein condensates, revealing phase locking behaviors in different coupling regimes through semiclassical analysis and numerical validation.
Contribution
It provides a semiclassical framework to understand phase locking and diffusion in weakly coupled BECs, highlighting different behaviors in Josephson-Fock and Rabi-Josephson regimes.
Findings
Zero relative phase locking in Josephson-Fock transition regime
Pi relative phase locking in Rabi-Josephson point
Analytic estimates agree with numerical results
Abstract
We study the phase-sensitivity of collisional phase-diffusion between weakly coupled Bose-Einstein condensates, using a semiclassical picture of the two-mode Bose-Hubbard model. When weak-coupling is allowed, zero relative phase locking is attained in the Josephson-Fock transition regime, whereas a relative phase is only locked in Rabi-Josephson point. Our analytic semiclassical estimates agree well with the numerical results.
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