Phase transitions of wave packet dynamics in disordered non-Hermitian systems

Fuente: arXiv
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Autori principali: Spring, Helene, Könye, Viktor, Gerritsma, Fabian A., Fulga, Ion Cosma, Akhmerov, Anton R.
Natura: Preprint
Pubblicazione: 2023
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author Spring, Helene
Könye, Viktor
Gerritsma, Fabian A.
Fulga, Ion Cosma
Akhmerov, Anton R.
author_facet Spring, Helene
Könye, Viktor
Gerritsma, Fabian A.
Fulga, Ion Cosma
Akhmerov, Anton R.
contents Disorder can localize the eigenstates of one-dimensional non-Hermitian systems, leading to an Anderson transition with a critical exponent of 1. We show that, due to the lack of energy conservation, the dynamics of individual, real-space wave packets follows a different behavior. Both transitions between localization and unidirectional amplification, as well as transitions between distinct propagating phases become possible. The critical exponent of the transition equals $1/2$ in propagating-propagating transitions.
format Preprint
id arxiv_https___arxiv_org_abs_2301_07370
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Phase transitions of wave packet dynamics in disordered non-Hermitian systems
Spring, Helene
Könye, Viktor
Gerritsma, Fabian A.
Fulga, Ion Cosma
Akhmerov, Anton R.
Mesoscale and Nanoscale Physics
Disordered Systems and Neural Networks
Disorder can localize the eigenstates of one-dimensional non-Hermitian systems, leading to an Anderson transition with a critical exponent of 1. We show that, due to the lack of energy conservation, the dynamics of individual, real-space wave packets follows a different behavior. Both transitions between localization and unidirectional amplification, as well as transitions between distinct propagating phases become possible. The critical exponent of the transition equals $1/2$ in propagating-propagating transitions.
title Phase transitions of wave packet dynamics in disordered non-Hermitian systems
topic Mesoscale and Nanoscale Physics
Disordered Systems and Neural Networks
url https://arxiv.org/abs/2301.07370