Non-Abelian Josephson effect between two spinor Bose-Einstein condensates in double optical traps

TL;DR

This paper proposes and analyzes a novel non-Abelian Josephson effect in spinor Bose-Einstein condensates within double optical traps, highlighting unique collective modes and providing experimental observation protocols.

Contribution

It introduces the first physical system demonstrating non-Abelian Josephson effects and characterizes its collective modes and tunneling behaviors.

Findings

Identification of non-Abelian Josephson effects in spinor BECs

Calculation of pseudo Goldstone mode frequencies in different phases

Proposal of experimental protocols for observing the effect

Abstract

We investigate the non-Abelian Josephson effect in spinor Bose-Einstein condensates with double optical traps. We propose, for the first time, a real physical system which contains non-Abelian Josephson effects. The collective modes of this weak coupling system have very different density and spin tunneling characters comparing to the Abelian case. We calculate the frequencies of the pseudo Goldstone modes in different phases between two traps respectively, which are a crucial feature of the non-Abelian Josephson effects. We also give an experimental protocol to observe this novel effect in future experiments.