Localization and multifractality in driven cold-atom quasicrystal and its relation to the driven integer quantum Hall matter

ORAL

Abstract

By independently controlling dipolar and phasonic modulations applied to atoms in an 1D incommensurate bichromatic lattice, we have experimentally demonstrated coherent tuning of the localization transition [1] and observed the competition between dynamic and Anderson localization. Here we elucidate the mapping between this system and a two-dimensional driven integer quantum Hall system, in which our combined modulation protocol maps to illumination by light with fully tunable polarization. As an application of the mapping, we discuss how to Floquet engineer an extended critical phase hosting multifractal wave functions, embedded in an interleaved localization phase diagram, simply by tuning the polarization of the driving light from linear to circular.

*We acknowledge support from the National Science Foundation (QLCI OMA-2016245), Air Force Office of Scientific Research (AFOSR FA9550-20-1-0240), and the Army Research Office (MURI W911NF-17-1-0323, W911NF-20-1-0294). D.M.W. and A.D. acknowledge support from the UCSB NSF Quantum Foundry through the Q-AMASE-i program (DMR-1906325). This material is based in part upon work supported by the U.S. Department of Energy, Office of Science, National Quantum Information Science Research Centers, Quantum Science Center.

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Publication: [1] T. Shimasaki et al., arXiv:2312.00976 (2023).

Presenters

  • Yifei Bai

    • University of California, Santa Barbara

Authors

  • Yifei Bai

    • University of California, Santa Barbara

  • Toshihiko Shimasaki

    • University of California, Santa Barbara

  • Peter E Dotti

    • University of California, Santa Barbara

  • Anna R Dardia

    • University of California, Santa Barbara

  • David M Weld

    • UC Santa Barbara
    • University of California Santa Barbara
    • University of California, Santa Barbara