Title

Mobility transition from ballistic to diffusive transport in non-Hermitian lattices

Authors

Authors

T. Eichelkraut; R. Heilmann; S. Weimann; S. Stutzer; F. Dreisow; D. N. Christodoulides; S. Nolte;A. Szameit

Comments

Authors: contact us about adding a copy of your work at STARS@ucf.edu

Abbreviated Journal Title

Nat. Commun.

Keywords

ANDERSON LOCALIZATION; PHOTONIC LATTICES; OPTICAL LATTICES; LIGHT; SYMMETRY; DISORDER; Multidisciplinary Sciences

Abstract

Within all physical disciplines, it is accepted that wave transport is predetermined by the existence of disorder. In this vein, it is known that ballistic transport is possible only when a structure is ordered, and that disorder is crucial for diffusion or (Anderson-)localization to occur. As this commonly accepted picture is based on the very foundations of quantum mechanics where Hermiticity of the Hamiltonian is naturally assumed, the question arises whether these concepts of transport hold true within the more general context of non-Hermitian systems. Here we demonstrate theoretically and experimentally that in ordered time-independent PT-symmetric systems, which are symmetric under space-time reflection, wave transport can undergo a sudden change from ballistic to diffusive after a specific point in time. This transition as well as the diffusive transport in general is impossible in Hermitian systems in the absence of disorder. In contrast, we find that this transition depends only on the degree of dissipation.

Journal Title

Nature Communications

Volume

4

Publication Date

1-1-2013

Document Type

Article

Language

English

First Page

7

WOS Identifier

WOS:000325537200001

ISSN

2041-1723

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