Quantum geometrical effects in non-Hermitian systems

• URL: http://arxiv.org/abs/2512.07264v1
• Date: Mon, 08 Dec 2025 08:03:41 GMT
• Title: Quantum geometrical effects in non-Hermitian systems
• Authors: Anton Montag, Tomoki Ozawa,
• Abstract summary: We show that the behavior of a non-Hermitian system is best understood in terms of quantum geometry.<n>We show that the non-Hermitian quantum metric appears in the response of the system upon time-periodic modulation.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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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