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

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 -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_name

Nat Commun

journal_title

Nature communications

authors

Eichelkraut T,Heilmann R,Weimann S,Stützer S,Dreisow F,Christodoulides DN,Nolte S,Szameit A

doi

10.1038/ncomms3533

subject

Has Abstract

pub_date

2013-01-01 00:00:00

pages

2533

issn

2041-1723

pii

ncomms3533

journal_volume

4

pub_type

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