Strong frequency dependence of transport in the driven disordered central-site model

Daniel Hetterich, Gabriel Schmitt, Lorenzo Privitera, and Björn Trauzettel
Phys. Rev. B 100, 014201 – Published 12 July 2019

Abstract

We study a periodically driven central site coupled to a disordered environment. In comparison to the static model, transport features are either enhanced or reduced, depending on the frequency of the drive. We demonstrate this by analyzing the statistics of quasienergies and the logarithmic growth of bipartite entanglement entropy, which show similar features: For frequencies larger than disorder strength, localization is enhanced due to a reduced effective coupling to the central site. Remarkably, localization can even be increased up to almost perfect freezing at particular frequencies, at which the central site decouples due to the emergence of “dark Floquet states.” This high-frequency domain of our model is bounded from below by a critical frequency ωc, at which transport increases abruptly. We demonstrate that ωc is determined by one-photon resonances, which connect states across the mobility edge and generically delocalize the system. This sensitive frequency dependence allows us to fine-tune transport properties of the driven central-site model with unprecedented precision.

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  • Received 7 February 2019
  • Revised 27 June 2019

DOI:https://doi.org/10.1103/PhysRevB.100.014201

©2019 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

Authors & Affiliations

Daniel Hetterich, Gabriel Schmitt, Lorenzo Privitera, and Björn Trauzettel

  • Institute for Theoretical Physics, University of Würzburg, 97074 Würzburg, Germany

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Issue

Vol. 100, Iss. 1 — 1 July 2019

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