Signature of localization-delocalization in collisional inhomogeneous spin-orbit coupled condensates

TL;DR

This paper investigates how inhomogeneous interactions and spin-orbit coupling induce localization-delocalization transitions in binary Bose-Einstein condensates within a quasiperiodic potential, revealing new control mechanisms for quantum localization.

Contribution

It demonstrates that tuning inhomogeneous interactions can induce localization transitions without changing the quasiperiodic potential strength, combining numerical and analytical methods.

Findings

Localization-delocalization transition occurs with interaction strength tuning from attractive to repulsive.

Spin-orbit and Rabi couplings influence the localization transition, especially in weak interactions.

Quench dynamics reveal how localization manifests in condensate behavior.

Abstract

We study the localization transition in spin-orbit (SO) coupled binary Bose-Einstein condensates (BECs) with collisional inhomogeneous interaction trapped in a one-dimensional quasiperiodic potential. Our numerical analysis shows that the competition between the quasiperiodic disorder and inhomogeneous interaction leads to a localization-delocalization transition as the interaction strength is tuned from attractive to repulsive in nature. Furthermore, we analyse the combined effect of the SO and Rabi coupling strengths on the localization transition for different interaction strengths and obtain signatures of similar localization-delocalization transition as a function of SO coupling in the regime of weak interactions. We complement our numerical observation with the analytical model using the Gaussian variational approach. In the end, we show how the localization-delocalization is manifested in the quench dynamics of the condensate. Our study provides an indirect approach to achieve localization transition without tuning the quasiperiodic potential strength, but rather by tuning the inhomogeneity in the interaction.