Tunneling and Revival of Anderson Localization in Bose-Einstein Condensate

TL;DR

This paper presents an analytical model demonstrating exponential Anderson localization in Bose-Einstein condensates within bichromatic optical lattices, analyzing localization degree, tunneling, revival, and stability under varying laser parameters.

Contribution

It introduces a new analytical approach to model Anderson localization in BECs, including localization length, tunneling dynamics, revival phenomena, and stability analysis under noise.

Findings

Exponential localization confirmed with identified localization length.

Tunneling and revival of Anderson localization observed over time.

Slowing down of localization at higher laser intensities.

Abstract

We provide an analytical model to fabricate an exponential localization of a Bose-Einstein condensate under bichromatic optical lattice. Such localization is famously known as Anderson localization. The degree of localization is investigated by the Participation Ratio to recognize the laser parameter domain for Anderson localization. The exponential nature of the localization is proved, where we also identify the Localization Length. The tunneling of Anderson-localized condensate with time is observed, and the revival phenomenon of Anderson localization is reported. Slowing down of Anderson localization is noticed for higher laser intensity. We also study the dynamical and structural stability of the condensate during Anderson localization, which suggests the preferred values of laser power and time instance to encounter minimal mean difference in the presence of noise.