Dephasing-induced jumps in non-Hermitian disordered lattices

Fuente: arXiv
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Main Authors: Kokkinakis, Emmanouil T., Makris, Konstantinos G., Economou, Eleftherios N.
Format: Preprint
Published: 2024
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author Kokkinakis, Emmanouil T.
Makris, Konstantinos G.
Economou, Eleftherios N.
author_facet Kokkinakis, Emmanouil T.
Makris, Konstantinos G.
Economou, Eleftherios N.
contents Changes in the wavefunction's phase during propagation in a random Hermitian lattice, a process known as dephasing, results in diffusion rather than Anderson localization. However, when non-Hermiticity is introduced, the wave behavior changes drastically. In particular, we demonstrate that in weakly disordered non-Hermitian lattices, dephasing enhances eigenmode localization which results in abrupt jumps between spatially distant regions. These jumps, which are absent under purely coherent conditions, emerge from the interplay between complex disorder and dephasing.
format Preprint
id arxiv_https___arxiv_org_abs_2412_20306
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Dephasing-induced jumps in non-Hermitian disordered lattices
Kokkinakis, Emmanouil T.
Makris, Konstantinos G.
Economou, Eleftherios N.
Disordered Systems and Neural Networks
Changes in the wavefunction's phase during propagation in a random Hermitian lattice, a process known as dephasing, results in diffusion rather than Anderson localization. However, when non-Hermiticity is introduced, the wave behavior changes drastically. In particular, we demonstrate that in weakly disordered non-Hermitian lattices, dephasing enhances eigenmode localization which results in abrupt jumps between spatially distant regions. These jumps, which are absent under purely coherent conditions, emerge from the interplay between complex disorder and dephasing.
title Dephasing-induced jumps in non-Hermitian disordered lattices
topic Disordered Systems and Neural Networks
url https://arxiv.org/abs/2412.20306