Coherent control of localization in driven quasicrystals and integer quantum Hall systems

ORAL

Abstract

We report experimental and theoretical advances in coherent control of a localization quantum phase transition in a shaken quasicrystal. By controlling the amplitude and phasonic/phononic character of modulation applied to atoms in an 1D bichromatic optical lattice, we experimentally observe the competition between dynamical and Anderson localization and demonstrate coherent tuning of the localization transition. We elucidate the mapping between this system and a two-dimensional integer quantum Hall system, in which our modulation protocol maps to light with fully tunable polarization. We discuss two possibilities illuminated by this higher-dimensional mapping: engineering a thermodynamically stable critical phase hosting multifractal wave functions, and modifying topological properties.

* We acknowledge support from the Air Force Office of Scientific Research (FA9550-20-1-0240), the Army Research Office (MURI W911NF1710323), the Eddleman Center for Quantum Innovation, the NSF QLCI program through Grant No. OMA-2016245, and the NSF Quantum Foundry through the Q-AMASEi program (Grant No. 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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Presenters

  • Yifei Bai

    University of California, Santa Barbara

Authors

  • Yifei Bai

    University of California, Santa Barbara

  • Peter E Dotti

    University of California, Santa Barbara

  • Toshihiko Shimasaki

    University of California, Santa Barbara

  • Anna R Dardia

    University of California, Santa Barbara

  • David M Weld

    UC Santa Barbara