Field theory of many-body Lindbladian dynamics

Foster Thompson; Alex Kamenev

doi:10.1016/j.aop.2023.169385

Field theory of many-body Lindbladian dynamics

Foster Thompson, Alex Kamenev

Physics and Astronomy (Twin Cities)

Research output: Contribution to journal › Review article › peer-review

7 Scopus citations

Abstract

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.

Original language	English (US)
Article number	169385
Journal	Annals of Physics
Volume	455
DOIs	https://doi.org/10.1016/j.aop.2023.169385
State	Published - Aug 2023

Bibliographical note

Publisher Copyright:
© 2023 Elsevier Inc.

Keywords

Driven-dissipative
Lindbladian dynamics
Non-equilibrium field theory

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10.1016/j.aop.2023.169385

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abstract = "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.",

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author = "Foster Thompson and Alex Kamenev",

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AB - 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.

KW - Driven-dissipative

KW - Lindbladian dynamics

KW - Non-equilibrium field theory

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DO - 10.1016/j.aop.2023.169385

M3 - Review article

AN - SCOPUS:85162878989

SN - 0003-4916

VL - 455

JO - Annals of Physics

JF - Annals of Physics

M1 - 169385

ER -

Field theory of many-body Lindbladian dynamics

Abstract

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Keywords

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