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Noise, delocalization, and quantum diffusion in one-dimensional tight-binding models

Ehsan Gholami1,* and Zahra Mohammaddoust Lashkami2

  • 1Department of Physics, Isfahan University of Technology, Isfahan, Iran
  • 2Department of Physics, Zanjan University, Zanjan, Iran

  • *egholami@alum.sharif.edu
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Phys. Rev. E 95, 022216 – Published 28 February, 2017

DOI: https://doi.org/10.1103/PhysRevE.95.022216

Abstract

As an unusual type of anomalous diffusion behavior, namely (transient) superballistic transport, has been experimentally observed recently, but it is not yet well understood. In this paper, we investigate the white noise effect (in the Markov approximation) on quantum diffusion in one-dimensional tight-binding models with a periodic, disordered, and quasiperiodic region of size L attached to two perfect lattices at both ends in which the wave packet is initially located at the center of the sublattice. We find that in a completely localized system, inducing noise could delocalize the system to a desirable diffusion phase. This controllable system may be used to investigate the interplay of disorder and white noise, as well as to explore an exotic quantum phase.

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Phys. Rev. E 95, 022216– Published 28 February, 2017
  • Received 15 March 2016
  • Revised 24 January 2017

©2017 American Physical Society

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