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In the case of quantum systems interacting with multiple environments, the time-evolution of the reduced density matrix is described by the Liouvillian. For a variety of physical observables, the long-time limit or steady state solution is…

Quantum Physics · Physics 2022-01-05 Rodrigo A. Vargas-Hernández , Ricky T. Q. Chen , Kenneth A. Jung , Paul Brumer

We study particle current and occupation distribution in a recently proposed model for coherent quantum transport. In this model a system connected to mesoscopic Fermi reservoirs (mesoreservoir) is driven out of equilibrium by the action of…

Mesoscale and Nanoscale Physics · Physics 2016-04-26 Shigeru Ajisaka , Felipe Barra

Using non-equilibrium Green's functions combined with many-body perturbation theory, we have calculated steady-state densities and currents through short interacting chains subject to a finite electric bias. By using a steady-state…

Mesoscale and Nanoscale Physics · Physics 2016-04-18 Daniel Karlsson , Claudio Verdozzi

Two-terminal spintronic devices remain challenging to model under realistic operating conditions, where the interplay of complex electronic structures, correlation effects and bias-driven non-equilibrium dynamics may significantly impact…

Strongly Correlated Electrons · Physics 2025-11-25 Declan Nell , Milos Radonjic , Ivan Rungger , Liviu Chioncel , Stefano Sanvito , Andrea Droghetti

The accurate simulation of real--time quantum transport is notoriously difficult, requiring a consistent scheme to treat incoming and outgoing fluxes at the boundary of an open system. We demonstrate a method to converge non--equilibrium…

Mesoscale and Nanoscale Physics · Physics 2015-10-02 Justin E. Elenewski , Yanxiang Zhao , Hanning Chen

We reexamine basic aspects of a nonequilibrium steady state in the Kondo problem for a quantum dot under a bias voltage using a reduced density matrix, which is obtained in the Fock space by integrating out one of the two conduction…

Strongly Correlated Electrons · Physics 2015-06-25 Akira Oguri

We have derived a variational principle that defines the nonequilibrium steady-state transport across a correlated impurity mimicking, e.g., a quantum dot coupled to biased leads. This variational principle has been specialized to a…

Strongly Correlated Electrons · Physics 2011-02-15 Nicola Lanatà

We present a new method to derive transport equations for quantum many-particle systems. This method uses an equation-of-motion technique and is applicable to systems with bosons and fermions, arbitrary interactions and time-dependent…

Statistical Mechanics · Physics 2009-10-28 J. Fricke

A key insight from recent studies is that noise, such as dephasing, can improve the efficiency of quantum transport by suppressing coherent single-particle interference effects. However, it is not yet clear whether dephasing can enhance…

Quantum Physics · Physics 2015-04-27 J. J. Mendoza-Arenas , T. Grujic , D. Jaksch , S. R. Clark

We present a detailed theoretical investigation of the effect of Coulomb interactions on electron transport through quantum dots and double barrier structures connected to a voltage source via an arbitrary linear impedance. Combining real…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Dmitri S. Golubev , Andrei D. Zaikin

We review recently introduced numerical methods for the unbiased detection of the order parameter and/or dominant correlations, in many-body interacting systems, by using reduced density matrices. Most of the paper is devoted to the…

Strongly Correlated Electrons · Physics 2015-05-27 Christopher L. Henley , Hitesh J. Changlani

Non-equilibrium quantum field theory studies time dependence of processes which are not available for the S-matrix description. One of the new methods of investigation in non-equilibrium quantum theory is the stochastic limit method. This…

High Energy Physics - Theory · Physics 2008-11-26 L. Accardi , I. Ya. Aref'eva , I. V. Volovich

We present a scattering approach for the study of the transport and thermodynamics of quantum systems strongly coupled to their thermal environment(s). This formalism recovers the standard non-equilibrium Green's function expressions for…

Statistical Mechanics · Physics 2020-07-15 Alexander Semenov , Abraham Nitzan

Transport process in molecular chain in nonequilibrium stationary state is theoretically investigated. The molecule is interacting at its both ends with thermal baths which has different temperatures, while no dissipation mechanism is…

Statistical Mechanics · Physics 2015-05-20 Satoshi Tanaka , Kazuki Kanki , Tomio Petrosky

The nonequilibrium thermodynamics of interacting quantum many-body systems is investigated within the framework of thermal time-dependent density functional theory using a generalized linear-response formulation for the full quantum work…

Quantum Physics · Physics 2025-12-23 Antonio Palamara , Francesco Plastina , Antonello Sindona , Irene D'Amico

The simulation of out-of-equilibrium dissipative quantum many body systems is a problem of fundamental interest to a number of fields in physics, ranging from condensed matter to cosmology. For unitary systems, tensor network methods have…

Quantum Physics · Physics 2019-10-30 Edward Gillman , Federico Carollo , Igor Lesanovsky

Nonequilibrium Green's functions provide a powerful tool for computing the dynamical response and particle exchange statistics of coupled quantum systems. We formulate the theory in terms of the density matrix in Liouville space and…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 U. Harbola , S. Mukamel

An analytical expression for the current through a single level quantum dot for arbitrary strength of the on-site electron-electron interaction is derived beyond standard mean-field theory. By describing the localised states in terms of…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 J. Fransson

Under certain conditions we prove the existence of a steady-state transport regime for interacting mesoscopic systems coupled to reservoirs (leads). The partitioning and partition-free scenarios are treated on an equal footing. Our…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Valeriu Moldoveanu , Horia D. Cornean , Claude-Alain Pillet

We study nonequilibrium steady states of lattice gases with nearest-neighbor interactions that are driven between two reservoirs. Density profiles in these systems exhibit oscillations close to the reservoirs. We demonstrate that an…

Statistical Mechanics · Physics 2015-05-30 Marcel Dierl , Philipp Maass , Mario Einax
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