Drive-induced delocalization in the Aubry-André model

S. Ray, A. Ghosh, S. Sinha

Research output: Contribution to journalArticlepeer-review

33 Scopus citations

Abstract

Motivated by the recent experiment by Bordia et al. [Nat. Phys. 13, 460 (2017)NPAHAX1745-247310.1038/nphys4020], we study the single particle delocalization phenomena of the Aubry-André (AA) model subjected to periodic drives. In two distinct cases we construct an equivalent classical description to illustrate that the drive-induced delocalization phenomena stems from an instability and the onset of chaos in the underlying dynamics. In the first case we analyze the delocalization and the thermalization in a time modulated AA potential with respect to driving frequency and demonstrate that there exists a threshold value of the amplitude of the drive. In the next example, we show that the periodic modulation of the phase of the hopping amplitude induced by a gauge field leads to an unusual effect on delocalization with a nonmonotonic dependence on the driving frequency. Within a window of such a driving frequency a delocalized Floquet band with a mobility edge appears, exhibiting multifractality in the spectrum as well as in the Floquet eigenfunctions. Finally, we explore the effect of interaction and discuss how the results of the present analysis can be tested experimentally.

Original languageEnglish
Article number010101
JournalPhysical Review E
Volume97
Issue number1
DOIs
StatePublished - 3 Jan 2018
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Fingerprint

Dive into the research topics of 'Drive-induced delocalization in the Aubry-André model'. Together they form a unique fingerprint.

Cite this