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Adiabatic changes in dissipative and non-Hermitian phase transitions

Published on:

18 April 2024

Primary Category:

Quantum Physics

Paper Authors:

Pavel Orlov,

Georgy V. Shlyapnikov,

Denis V. Kurlov

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Key Details

Proposes new quantum geometric tensor to study phase transitions in open and non-Hermitian systems

Based on concept of generator of adiabatic transformations, applies to Liouvillians and non-Hermitian Hamiltonians

Shows it works for quadratic fermionic Liouvillians and non-Hermitian Su-Schrieffer-Heeger model

Claims new tensor effectively identifies critical points across models tested

Provides potential universal tool for probing phase transitions in general non-Hermitian systems

AI generated summary

Adiabatic changes in dissipative and non-Hermitian phase transitions

The authors propose a new generalization of the quantum geometric tensor to study phase transitions in open quantum systems and those described by non-Hermitian Hamiltonians. They base this on the generator of adiabatic transformations and show it works for quadratic fermionic Liouvillians and the non-Hermitian Su-Schrieffer-Heeger model. It seems to effectively identify critical points in these systems.

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