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This paper gives an introduction to the Keldysh formalism, with emphasis on its usefulness in time-dependent density functional theory. In the first part we introduce the Keldysh contour and the one-particle Green function defined on this…

介观与纳米尺度物理 · 物理学 2007-05-23 Robert van Leeuwen , Nils Erik Dahlen , Gianluca Stefanucci , Carl-Olof Almbladh , Ulf von Barth

The theoretical investigation of charge (and spin) transport at nanometer length scales requires the use of advanced and powerful techniques able to deal with the dynamical properties of the relevant physical systems, to explicitly include…

介观与纳米尺度物理 · 物理学 2015-05-13 D. A. Ryndyk , R. Gutierrez , B. Song , G. Cuniberti

I review the way the many-body Green functions are used to renormalize the perturbation theory of correlated fermions. The Green functions are introduced to implement systematically dynamical corrections to the static mean-field theory. The…

强关联电子 · 物理学 2021-09-21 Václav Janiš

We extend the concept of the functional renormalization for quantum many-body problems to non-equilibrium situations. Using a suitable generating functional based on the Keldysh approach, we derive a system of coupled differential equations…

强关联电子 · 物理学 2013-05-29 R. Gezzi , Th. Pruschke , V. Meden

Bosonization technique for one-dimensional fermions out of equilibrium is developed in the framework of the Keldysh action formalism. We first demonstrate how this approach is implemented for free fermions and for the problem of…

介观与纳米尺度物理 · 物理学 2010-02-25 D. B. Gutman , Yuval Gefen , A. D. Mirlin

We present a quantum kinetic approach for the time-resolved description of many-body effects in photoionization processes in atoms. The method is based on the non-equilibrium Green functions formalism and solves the Keldysh/Kadanoff-Baym…

原子物理 · 物理学 2015-05-13 D. Hochstuhl , K. Balzer , S. Bauch , M. Bonitz

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…

量子气体 · 物理学 2011-02-09 Thomas Gasenzer , Stefan Kessler , Jan M. Pawlowski

We construct a nonperturbative nonequilibrium theory for graphene electrons interacting via the instantaneous Coulomb interaction by combining the functional renormalization group method with the nonequilibrium Keldysh formalism. The…

介观与纳米尺度物理 · 物理学 2017-03-15 Christian Fräßdorf , Johannes E. M. Mosig

Schwinger Keldysh field theory is a widely used paradigm to study non-equilibrium dynamics of quantum many-body systems starting from a thermal state. We extend this formalism to describe non-equilibrium dynamics of quantum systems starting…

统计力学 · 物理学 2019-03-13 Ahana Chakraborty , Pranay Gorantla , Rajdeep Sensarma

We present a comprehensive pedagogical discussion of a family of models describing the propagation of a single particle in a multicomponent non-Markovian Gaussian random field. We report some exact results for single-particle Green's…

介观与纳米尺度物理 · 物理学 2026-01-29 D. V. Efremov , M. N. Kiselev

Motivated by cosmological Hartle-Hawking and microcanonical density matrix prescriptions for the quantum state of the Universe we develop Schwinger-Keldysh in-in formalism for generic nonequilibrium dynamical systems with the initial…

高能物理 - 理论 · 物理学 2023-09-08 Andrei O. Barvinsky , Nikita Kolganov

We study the 4-point function in the Keldysh formalism of the closed time path formulation of real time finite temperature field theory. We derive the KMS conditions for these functions and discuss the number of 4-point functions that are…

高能物理 - 唯象学 · 物理学 2016-09-06 M. E. Carrington , Hou Defu , J. C. Sowiak

We derive equations of motion for higher order density response functions using the theory of thermodynamic Green's functions. We also derive expressions for the higher order generalized dielectric functions and polarization functions.…

Different non-equilibrium situations have recently been considered when studying the thermal Casimir--Polder interaction with a body. We show that the Keldysh Green function method provides a very general common framework for such studies…

量子物理 · 物理学 2017-08-23 Simen Å. Ellingsen , Yury Sherkunov , Stefan Y. Buhmann , Stefan Scheel

The infrared regime of fermionic Green and vertex functions is studied analytically within a geometric approach which simulates soft interactions by an {\it effective} theory of contours. Expanding the particle path integral in terms of…

高能物理 - 理论 · 物理学 2007-05-23 N. G. Stefanis

We introduce a method to evaluate the steady-state non-equilibrium Keldysh-Schwinger Green's functions for infinite systems subject to both an electric field and a coupling to reservoirs. The method we present exploits a physical…

强关联电子 · 物理学 2020-08-26 Christian Klöckner , Dante Marvin Kennes , Christoph Karrasch

Nonequilibrium quantum mechanics can be solved with the Keldysh formalism, which evolves the quantum mechanical states forward in time in the presence of a time-dependent field, and then evolves them backward in time, undoing the effect of…

强关联电子 · 物理学 2007-05-23 J. K. Freericks , V. Turkowski , V. Zlatic

We apply the Keldysh formalism in order to derive a current formula easy to use for a system with many sites, one of which is interacting. The main technical challenge is to deal with the lesser Green function. It turns out that, in the…

介观与纳米尺度物理 · 物理学 2009-11-13 I. V. Dinu , M. Tolea , A. Aldea

We describe microscopic theory for the quantum transport through finite interacting systems connected to noninteracting leads. It can be applied to small systems such as quantum dots, quantum wires, atomic chain, molecule, and so forth. The…

介观与纳米尺度物理 · 物理学 2007-05-23 Akira Oguri

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.…

无序系统与神经网络 · 物理学 2007-05-23 Alex Kamenev
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