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Boltzmann equations are often used to describe the non-equilibrium time-evolution of many-body systems in particle physics. Prominent examples are the computation of the baryon asymmetry of the universe and the evolution of the quark-gluon…

High Energy Physics - Phenomenology · Physics 2008-11-26 Manfred Lindner , Markus Michael Muller

A kinetic equation which combines the quasiparticle drift of Landau's equation with a dissipation governed by a nonlocal and noninstant scattering integral in the spirit of Snider's equation for gases is derived. Consequent balance…

Plasma Physics · Physics 2015-06-26 K. Morawetz , V. Spička , P. Lipavský

In this paper, we extend the method of Kadanoff-Baym equations for open quantum systems to arbitrary kinds of systems and heat baths, either fermionic or bosonic. This includes three spacial dimensions and different potentials for the…

Nuclear Theory · Physics 2025-10-31 Tim Neidig , Marcus Bleicher , Hendrik van Hees , Carsten Greiner

We have developed a time propagation scheme for the Kadanoff-Baym equations for general inhomogeneous systems. These equations describe the time evolution of the nonequilibrium Green function for interacting many-body systems in the…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Adrian Stan , Nils Erik Dahlen , Robert van Leeuwen

This paper deals with the energy transport properties of charged particles with time-dependent damping force. Based on the proposed nonlinear dimensionless mapping,the stability and dynamical evolution of the particle system is analyzed…

Chaotic Dynamics · Physics 2017-02-01 Hao Zhang , Pengcheng Luo , Huifang Ding

The non-Markoffian transport equations for the systems of cold Bose atoms confined by a external potential both without and with a Bose-Einstein condensate are derived in the framework of nonequilibrium thermal filed theory (Thermo Field…

Quantum Gases · Physics 2010-07-13 Y. Nakamura , T. Sunaga , M. Mine , M. Okumura , Y. Yamanaka

The feasibility of a perturbation expansion for Green's functions of the t-J model directly in terms of X-operators is demonstrated using the Baym- Kadanoff functional method. As an application we derive explicit expressions for the kernel…

Superconductivity · Physics 2009-10-31 R. Zeyher , A. Greco

We have implemented time-propagation of the non-equilibrium Green function for atoms and molecules, by solving the Kadanoff-Baym equations within a conserving self-energy approximation. We here demonstrate the usefulnes of time-propagation…

Materials Science · Physics 2007-05-23 Nils Erik Dahlen , Robert van Leeuwen

Potential non-relativistic Quantum Electrodynamics and the Keldysh-Schwinger formalism is used to derive Kadanoff-Baym-like equations for two-body field correlators. These cover the out-off-equilibrium dynamics and spectrum of heavy…

High Energy Physics - Theory · Physics 2021-10-13 Tobias Binder

We show that the nonperturbative transport equations, the so called `Kadanoff-Baym equations', within the non-equilibrium real time Green's function description can be be understood as the ensemble average over stochastic equations of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Carsten Greiner , Stefan Leupold

A generalized quantum kinetic equation (RKE) of the Kadanoff-Baym type is obtained on the basis of the Heisenberg equations of motion where the time evolution and space translation are separated from each other by means of the covariant…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. A. Smolyansky , A. V. Prozorkevich , G. Maino , S. G. Mashnik

Utilizing a non-equilibrium Green function like the generalized Kadanoff-Baym ansatz, a systematic perturbative method is presented to calculate the expectation value of an arbitrary physical quantity under the restriction that the Wigner…

Statistical Mechanics · Physics 2007-05-23 J. Koide

A Wigner function representation of multi-band quantum transport theory is developed in this paper. The equations are derived using non-equilibrium Green's function formulation with the generalized Kadanoff-Baym ansatz and the multi-band…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Mehmet Burcin Unlu , Bernard Rosen , Hong-Liang Cui , Peiji Zhao

This paper presents a variational representation of the Bayes' law using optimal transportation theory. The variational representation is in terms of the optimal transportation between the joint distribution of the (state, observation) and…

Optimization and Control · Mathematics 2022-09-14 Amirhossein Taghvaei , Bamdad Hosseini

The quantum transport through nanoscale junctions is governed by the charging energy $U$ of the device. We employ the recently developed scattering-states numerical renormalization group approach to open quantum systems to study…

Strongly Correlated Electrons · Physics 2010-04-12 Sebastian Schmitt , Frithjof B. Anders

We extend the Landauer-B\"uttiker formalism in order to accommodate both unitary and self-adjoint operators which are not bounded from below. We also prove that the pure point and singular continuous subspaces of the decoupled Hamiltonian…

Mathematical Physics · Physics 2012-12-21 Horia D. Cornean , Hagen Neidhardt , Lukas Wilhelm , Valentin A. Zagrebnov

Based on a first order gradient expansion a consistent transport equation is derived for a nonrelativistic system beyond the quasiparticle approximation, i.e. for a regime where the dynamically generated width of the states is allowed to be…

Nuclear Theory · Physics 2009-10-31 Stefan Leupold

Quantum state transport is an important way to study the energy or information flow. By combining the unconventional Rydberg pumping mechanism and the diagonal form of van der Waals interactions, we construct a theoretical model via…

Quantum Physics · Physics 2022-03-10 X. X. Li , J. B. You , X. Q. Shao , Weibin Li

We study the temporal evolution of quantum mechanical fermionic particles exhibiting one bound state within a one-dimensional attractive square-well potential in a heat bath of bosonic particles. For this open quantum system we formulate…

Nuclear Theory · Physics 2024-03-25 Tim Neidig , Jan Rais , Marcus Bleicher , Hendrik van Hees , Carsten Greiner

In this work we introduce, for the first time, as far as we know, a complete self-consist kinetic model for collisional transport in the nonextensive statistics, i.e., the generalization of the ordinary Maxwell-Boltmzann statistics…

Plasma Physics · Physics 2018-06-08 Diego S. Oliveira , Ricardo M. O. Galvão