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Quantum Simulation

Quantum geometrical effects in non-Hermitian systems

arXiv
Authors: Anton Montag, Tomoki Ozawa

Year

2025

Paper ID

16043

Status

Preprint

Abstract Read

~2 min

Abstract Words

94

Citations

N/A

Abstract

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.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • We explore the relation between quantum geometry in non-Hermitian systems and physically measurable phenomena.

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