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Quantum Physics
Title: Adiabatic Transformations in Dissipative and Non-Hermitian Phase Transitions
(Submitted on 18 Apr 2024 (v1), last revised 20 Apr 2024 (this version, v2))
Abstract: The quantum geometric tensor has established itself as a general framework for the analysis and detection of equilibrium phase transitions in isolated quantum systems. We propose a novel generalization of the quantum geometric tensor, which offers a universal approach to studying phase transitions in non-Hermitian quantum systems. Our generalization is based on the concept of the generator of adiabatic transformations and can be applied to systems described by either a Liouvillian superoperator or by an effective non-Hermitian Hamiltonian. We illustrate the proposed method by analyzing the non-Hermitian Su-Schrieffer-Heeger model and a generic quasi-free dissipative fermionic system with a quadratic Liouvillian. Our findings reveal that this method effectively identifies phase transitions across all examined models, providing a universal tool for investigating general non-Hermitian systems.
Submission history
From: Pavel Orlov [view email][v1] Thu, 18 Apr 2024 17:05:08 GMT (34kb)
[v2] Sat, 20 Apr 2024 12:26:49 GMT (34kb)
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