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  • Letter

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

Ashirbad Padhan1, Mrinal Kanti Giri1, Suman Mondal1, and Tapan Mishra1,2,3,*

  • 1Department of Physics, Indian Institute of Technology, Guwahati-781039, Assam, India
  • 2National Institute of Science Education and Research, Jatni, Odisha 752050, India
  • 3Homi Bhabha National Institute, Training School Complex, Anushakti Nagar, Mumbai 400094, India

  • *mishratapan@gmail.com

Phys. Rev. B 105, L220201 – Published 3 June, 2022

DOI: https://doi.org/10.1103/PhysRevB.105.L220201

Abstract

Low-dimensional quasiperiodic systems exhibit localization transitions by turning all quantum states localized after a critical quasidisorder. While certain systems with modified or constrained quasiperiodic potential undergo multiple localization transitions in one dimension, we predict an emergence of multiple localization transitions without directly imposing any constraints on the quasiperiodic potential. By considering a one-dimensional system described by the Aubry-André model, we show that an additional staggered on-site potential can drive the system through a series of localization transitions as a function of the staggered potential. Interestingly, we find that the number of localization transitions strongly depends on the strength of the quasiperiodic potential. Moreover, we obtain the signatures of these localization transitions in the expansion dynamics and propose an experimental scheme for their detection in the quantum gas experiment.

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