Comment on ``Phase and Phase Diffusion of a Split Bose-Einstein Condensate''

TL;DR

This paper critiques a previous analysis of phase dynamics in split Bose-Einstein condensates, emphasizing the importance of initial interactions and their effect on phase coherence loss.

Contribution

It highlights the overestimation of phase randomization rates by neglecting initial interactions in the analysis of split condensates.

Findings

Neglecting initial interactions leads to overestimating phase loss.

Interaction strength and separation speed influence phase coherence.

Corrected estimates show slower phase randomization than previously thought.

Abstract

Recently Javanainen and Wilkens [Phys. Rev. Lett. 78, 4675 (1997)] have analysed an experiment in which an interacting Bose condensate, after being allowed to form in a single potential well, is "cut" by splitting the well adiabatically with a very high potential barrier, and estimate the rate at which, following the cut, the two halves of the condensate lose the "memory" of their relative phase. We argue that, by neglecting the effect of interactions in the initial state before the separation, they have overestimated the rate of phase randomization by a numerical factor which grows with the interaction strength and with the slowness of the separation process.