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Edge states of a three dimensional kicked rotor

Author

Listed:
  • Alexandra Bakman

    (Technion – Israel Institute of Technology, Technion City)

  • Hagar Veksler

    (Technion – Israel Institute of Technology, Technion City)

  • Shmuel Fishman

    (Technion – Israel Institute of Technology, Technion City)

Abstract

Edge localization is a fascinating quantum phenomenon. In this paper, the underlying mechanism generating it is presented analytically and verified numerically for a weakly kicked three-dimensional rotor. We expand the eigenstates of the one-kick propagator of the kicked rotor in the basis of the free rotor eigenstates, which are defined by the quantum number of angular momentum. Since this quantum number must be non-negative, there is an edge near zero angular momentum, and an edge state is created. Analogy to tight binding model in solid state physics is used. Graphical abstract

Suggested Citation

  • Alexandra Bakman & Hagar Veksler & Shmuel Fishman, 2019. "Edge states of a three dimensional kicked rotor," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 92(10), pages 1-7, October.
    • Handle: RePEc:spr:eurphb:v:92:y:2019:i:10:d:10.1140_epjb_e2019-100174-8
    DOI: 10.1140/epjb/e2019-100174-8
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    Statistical and Nonlinear Physics;

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