A note on a relation between ac Josephson effect and double-well BEC oscillations

TL;DR

This paper explores the connection between the ac Josephson effect and Bose-Einstein condensate oscillations in a double-well potential, clarifying their relationship in high occupation regimes.

Contribution

It elucidates the correspondence between the ac Josephson effect and BEC oscillations, highlighting their relation at high occupation numbers in a double-well system.

Findings

The oscillation frequencies of BEC and Josephson effect are related.

High occupation limit reveals a clear correspondence between the two phenomena.

The study clarifies the conditions under which BEC oscillations realize the Josephson effect.

Abstract

In this brief note we comment on the relation between the ac Josephson effect and the coherent oscillations of a Bose-Einstein condensate confined to a double-well potential. The goal is to elucidate the extent to which the latter is a realization of the former. We detail the correspondence that emerges in the high occupation limit of the double-well potential, and particularly note the relation between the two oscillation frequencies.