Robust relocalization transitions and dynamical detection in one dimension

Quasiperiodic lattices reveal novel localization phenomena in low dimensions compared to the random lattices. One such interesting revelation is the reentrant localization or relocalization transition where the system undergoes more than one localization transitions under proper conditions. In this work, we predict the relocalization transitions in a simple and realistic lattice model. By considering a one dimensional quasiperiodic lattice with onsite energy dimerization, we obtain signatures of relocalization transitions as a function of the quasiperiodic disorder for different values of the onsite dimerization. Interestingly, however, for a fixed disorder strength, the relocalization transition is found to be robust where the system undergoes multiple localization transitions as a function of onsite dimerization. Moreover, we find that as a function of dimerization strength the number of localization transitions increases with the increase in the quasiperiodic potential up to a critical value after which the system entirely localizes. We explore the signatures of these relocalization transitions in the context of the wavepacket dynamics and propose an experimental scheme to observe such relocalization transition in the quantum gas experiment.