Matter-wave Fractional Revivals in a Ring Waveguide

TL;DR

This paper demonstrates fractional revival phenomena in ultracold matter waves within a ring waveguide, providing precise identification of revival times, spatial density patterns, and analyses of stability and geometric effects.

Contribution

It presents a detailed theoretical and numerical study of fractional revivals in a ring-shaped matter-wave system, including stability analysis and geometric dependence.

Findings

Clear evidence of fractional revivals through autocorrelation and quantum carpet analysis

Exact numerical results match the theoretical model

Revival time varies with the ring's diameter

Abstract

We report fractional revival phenomena in an ultracold matter wave inside a ring waveguide. The specific fractional revival times are precisely identified and corresponding spatial density patterns are depicted. Thorough analyses of the autocorrelation function and quantum carpet provide clear evidence of their occurrence. The exhibited theoretical model is in exact conformity of our numerical results. We also investigate the stability of the condensate and a variation of revival time with the diameter of the ring.