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Related papers: Field Theory of Many-Body Lindbladian Dynamics

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Lectures notes for 2004 Les Houches Summer School on "Nanoscopic Quantum Transport". These lectures contain an introduction to Keldysh formalism for interacting bosonic and fermionic systems, presented in the functional integral framework.…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alex Kamenev

Recent experimental developments in diverse areas - ranging from cold atomic gases over light-driven semiconductors to microcavity arrays - move systems into the focus, which are located on the interface of quantum optics, many-body physics…

Quantum Gases · Physics 2016-08-05 L. M. Sieberer , M. Buchhold , S. Diehl

We present a fermionic description of non-equilibrium multi-level systems. Our approach uses the Keldysh path integral formalism and allows us to take into account periodic drives, as well as dissipative channels. The technique is based on…

Many-body systems with both coherent dynamics and dissipation constitute a rich class of models which are nevertheless much less explored than their dissipationless counterparts. The advent of numerous experimental platforms that simulate…

Quantum Gases · Physics 2016-04-28 Mohammad F. Maghrebi , Alexey V. Gorshkov

We use a superoperator representation of the quantum kinetic equation to develop nonequilibrium perturbation theory for an inelastic electron current through a quantum dot. We derive a Lindblad-type kinetic equation for an embedded quantum…

Mesoscale and Nanoscale Physics · Physics 2012-05-17 Alan A. Dzhioev , D. S. Kosov

A quantum kinetic theory of the linear response to an electric field is provided from a controlled expansion of the Keldysh theory at leading order, for a multiband electron system with weak scalar disorder. The response is uniquely…

Mesoscale and Nanoscale Physics · Physics 2025-02-06 Thierry Valet , Roberto Raimondi

We present a unified many-body perturbation theory for open quantum systems, that treats dissipation, correlations, and external driving on equal footing. Using a Keldysh-Lindblad formalism, we introduce diagrammatic treatment of…

Strongly Correlated Electrons · Physics 2026-03-17 Thomas Blommel , Enrico Perfetto , Gianluca Stefanucci , Vojtech Vlcek

This text is a short introduction to the physics of driven-dissipative many-body systems, focusing on a few selected topics. Beyond its more ``historical'' interest in the study of atomic physics and quantum optics, presently the modeling…

Quantum Physics · Physics 2026-04-02 Fabrizio Minganti , Alberto Biella

Driven-dissipative systems have recently attracted great attention due to the existence of novel physical phenomena with no analog in the equilibrium case. The Keldysh path-integral theory is a powerful tool to investigate these systems.…

Quantum Physics · Physics 2021-01-04 Yuanwei Zhang , Gang Chen

We discuss many-body fermionic and bosonic systems subject to dissipative particle losses in arbitrary spatial dimensions $d$, within the Keldysh path-integral formulation of the quantum master equation. This open quantum dynamics…

Statistical Mechanics · Physics 2025-02-27 Federico Gerbino , Igor Lesanovsky , Gabriele Perfetto

This study investigates the intricate relationship between dissipative processes of open quantum systems and the non-Hermitian quantum field theory of relativistic fermionic systems. By examining the influence of dissipative effects on…

High Energy Physics - Theory · Physics 2024-10-01 Y. M. P. Gomes

The theory of real-time quantum many-body dynamics as put forward in Ref. [arXiv:0710.4627] is evaluated in detail. The formulation is based on a generating functional of correlation functions where the Keldysh contour is closed at a given…

Quantum Gases · Physics 2011-02-09 Thomas Gasenzer , Stefan Kessler , Jan M. Pawlowski

The increasing interest in nonequilibrium effects in condensed matter theory motivates the adaption of diverse equilibrium techniques to Keldysh formalism. For methods based on multi-particle Green or vertex functions this involves a…

Strongly Correlated Electrons · Physics 2010-03-03 Severin G. Jakobs , Mikhail Pletyukhov , Herbert Schoeller

Quantum entanglement phase transitions have provided new insights to quantum many-body dynamics. Both disorders and measurements are found to induce similar entanglement transitions. Here, we provide a theoretical framework that unifies…

Quantum Physics · Physics 2023-09-14 Qinghong Yang , Yi Zuo , Dong E. Liu

Considering stationary states of continuous-variable systems undergoing an open dynamics, we unveil the connection between properties and symmetries of the latter and the dynamical parameters. In particular, we explore the relation between…

Quantum Physics · Physics 2016-11-29 F. Nicacio , M. Paternostro , A. Ferraro

Keldysh field theory, based on adiabatic assumptions, serves as an widely used framework for addressing nonequilibrium many-body systems. Nonetheless, the validity of such adiabatic assumptions when addressing interacting Gibbs states…

Quantum Physics · Physics 2024-09-04 Yi Zuo , Qinghong Yang , Bang-Gui Liu , Dong E Liu

We present a generalized dynamical mean-field approach for the nonequilibrium physics of a strongly correlated system in the presence of a time-dependent external field. The Keldysh Green's function formalism is used to study the…

Strongly Correlated Electrons · Physics 2007-05-23 P. Schmidt , H. Monien

We present a review of our recent work in extending the successful dynamical mean-field theory from the equilibrium case to nonequilibrium cases. In particular, we focus on the problem of turning on a spatially uniform, but possibly time…

Strongly Correlated Electrons · Physics 2008-08-14 V. Turkowski , J. K. Freericks

We propose the Sachdev-Ye-Kitaev Lindbladian as a paradigmatic solvable model of dissipative many-body quantum chaos. It describes $N$ strongly coupled Majorana fermions with random all-to-all interactions, with unitary evolution given by a…

Statistical Mechanics · Physics 2022-07-04 Lucas Sá , Pedro Ribeiro , Tomaž Prosen

A dynamical treatment of Markovian diffusion is presented and several applications discussed. The stochastic interpretation of quantum mechanics is considered within this framework. A model for Brownian movement which includes second order…

Quantum Physics · Physics 2007-05-23 Mark Davidson
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