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Low dimensional quasiperiodic systems exhibit localization transitions byturning all quantum states localized after a critical quasidisorder. Whilecertain systems with modified or constrained quasiperiodic potential undergomultiple localization transitions in one dimension, we predict an emergence ofmultiple localization transitions without directly imposing any constraints onthe quasiperiodic potential. By considering a one-dimensional system describedby the Aubry-And\'{r}e (AA) model, we show that an additional staggered onsitepotential can drive the system through a series of localization transitions asa function of the staggered potential. Interestingly, we find that the numberof localization transitions strongly depends on the strength of thequasiperiodic potential. Moreover, we obtain the signatures of theselocalization transitions in the expansion dynamics and propose an experimentalscheme for their detection in the quantum gas experiment.

Emergence of multiple localization transitions in a one-dimensional quasiperiodic lattice