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Main Author: Uhrig, Götz S.
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2406.10613
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author Uhrig, Götz S.
author_facet Uhrig, Götz S.
contents As of now, the phenomenological classical Landau-Lifshitz (LL) damping of magnetic order is not conceptually linked to the quantum theory of dissipation of the Lindbladian formalism which is unsatisfactory for the booming research on magnetic dynamics. Here, it is shown that LL dynamics can be systematically derived from Lindbladian dynamics in a local mean-field theory for weak external fields. The derivation also extends the LL dynamics beyond the orientation $\vec{m}/|\vec{m}|$ to the length $|\vec{m}|$ of the magnetization. A key assumption is that the Lindbladian dissipation adapts to the non-equilibrium $H(t)$ instantaneously to lower its expectation value.
format Preprint
id arxiv_https___arxiv_org_abs_2406_10613
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Landau-Lifshitz damping from Lindbladian dissipation in quantum magnets
Uhrig, Götz S.
Strongly Correlated Electrons
Quantum Physics
As of now, the phenomenological classical Landau-Lifshitz (LL) damping of magnetic order is not conceptually linked to the quantum theory of dissipation of the Lindbladian formalism which is unsatisfactory for the booming research on magnetic dynamics. Here, it is shown that LL dynamics can be systematically derived from Lindbladian dynamics in a local mean-field theory for weak external fields. The derivation also extends the LL dynamics beyond the orientation $\vec{m}/|\vec{m}|$ to the length $|\vec{m}|$ of the magnetization. A key assumption is that the Lindbladian dissipation adapts to the non-equilibrium $H(t)$ instantaneously to lower its expectation value.
title Landau-Lifshitz damping from Lindbladian dissipation in quantum magnets
topic Strongly Correlated Electrons
Quantum Physics
url https://arxiv.org/abs/2406.10613