Anderson Localization in Time-Dependent Hamiltonians

ORAL

Abstract

We study a generalization of Anderson localization to show that different forms of time-dependence of onsite energies cause the system to behave in qualitatively different ways. Our results confirm the known result that random time dependence causes a disordered system to delocalize completely. However, we find that periodic time dependence causes an increase in localization length, but not complete delocalization.

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Authors

  • Elizabeth (Noelle) Blose

    Middlebury College

  • Victor Christianto

    Fetch~Lab, Univ. of Cincinnati, Browning Biotech, University of Rhode Island, Canadian Light Source, Brown Univ, Shandong Univ, University of Connecticut, University of Connecticut; Wentworth Institute of Technology, UC Davis, California Polytechnic State University, GIST, Malang Institute of Agriculture

  • Victor Christianto

    Fetch~Lab, Univ. of Cincinnati, Browning Biotech, University of Rhode Island, Canadian Light Source, Brown Univ, Shandong Univ, University of Connecticut, University of Connecticut; Wentworth Institute of Technology, UC Davis, California Polytechnic State University, GIST, Malang Institute of Agriculture

  • Victor Christianto

    Fetch~Lab, Univ. of Cincinnati, Browning Biotech, University of Rhode Island, Canadian Light Source, Brown Univ, Shandong Univ, University of Connecticut, University of Connecticut; Wentworth Institute of Technology, UC Davis, California Polytechnic State University, GIST, Malang Institute of Agriculture