Long-range hopping, previously thought to suppress reentrant localization, can instead induce it in both staggered and uniform disorder regimes, with four transition points showing distinct critical exponents.
Signature of localization-delocalization in collisional inhomogeneous spin-orbit coupled condensates
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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.
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cond-mat.dis-nn 1years
2024 1verdicts
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Investigation of reentrant localization transition in one-dimensional quasi-periodic lattice with long-range hopping
Long-range hopping, previously thought to suppress reentrant localization, can instead induce it in both staggered and uniform disorder regimes, with four transition points showing distinct critical exponents.