Field Theory of Many-Body Lindbladian Dynamics

Fuente: arXiv
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Autores principales: Thompson, Foster, Kamenev, Alex
Formato: Preprint
Publicado: 2023
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author Thompson, Foster
Kamenev, Alex
author_facet Thompson, Foster
Kamenev, Alex
contents We review and further develop the Keldysh functional integral technique for the study of Lindbladian evolution of many-body driven-dissipative quantum systems. A systematic and pedagogical account of the dynamics of generic bosonic and fermionic Lindbladians is presented. Our particular emphasis is on unique properties of the stationary distribution function, determined by the Lyapunov equation. This framework is applied to study examples of Lindbladian dynamics in the context of band theory, disorder, collisionless collective modes, and mean-field theory.
format Preprint
id arxiv_https___arxiv_org_abs_2301_02953
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Field Theory of Many-Body Lindbladian Dynamics
Thompson, Foster
Kamenev, Alex
Mesoscale and Nanoscale Physics
Quantum Gases
Statistical Mechanics
Quantum Physics
We review and further develop the Keldysh functional integral technique for the study of Lindbladian evolution of many-body driven-dissipative quantum systems. A systematic and pedagogical account of the dynamics of generic bosonic and fermionic Lindbladians is presented. Our particular emphasis is on unique properties of the stationary distribution function, determined by the Lyapunov equation. This framework is applied to study examples of Lindbladian dynamics in the context of band theory, disorder, collisionless collective modes, and mean-field theory.
title Field Theory of Many-Body Lindbladian Dynamics
topic Mesoscale and Nanoscale Physics
Quantum Gases
Statistical Mechanics
Quantum Physics
url https://arxiv.org/abs/2301.02953