Quantum geometrical effects in non-Hermitian systems

Fuente: arXiv
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Auteurs principaux: Montag, Anton, Ozawa, Tomoki
Format: Preprint
Publié: 2025
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author Montag, Anton
Ozawa, Tomoki
author_facet Montag, Anton
Ozawa, Tomoki
contents We explore the relation between quantum geometry in non-Hermitian systems and physically measurable phenomena. We highlight various situations in which the behavior of a non-Hermitian system is best understood in terms of quantum geometry, namely the notion of adiabatic potentials in non-Hermitian systems and the localization of Wannier states in periodic non-Hermitian systems. Further, we show that the non-Hermitian quantum metric appears in the response of the system upon time-periodic modulation, which one can use to experimentally measure the non-Hermitian quantum metric. We validate our results by providing numerical simulations of concrete exemplary systems.
format Preprint
id arxiv_https___arxiv_org_abs_2512_07264
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quantum geometrical effects in non-Hermitian systems
Montag, Anton
Ozawa, Tomoki
Quantum Physics
Mesoscale and Nanoscale Physics
We explore the relation between quantum geometry in non-Hermitian systems and physically measurable phenomena. We highlight various situations in which the behavior of a non-Hermitian system is best understood in terms of quantum geometry, namely the notion of adiabatic potentials in non-Hermitian systems and the localization of Wannier states in periodic non-Hermitian systems. Further, we show that the non-Hermitian quantum metric appears in the response of the system upon time-periodic modulation, which one can use to experimentally measure the non-Hermitian quantum metric. We validate our results by providing numerical simulations of concrete exemplary systems.
title Quantum geometrical effects in non-Hermitian systems
topic Quantum Physics
Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2512.07264