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We show that coupling together two closed thermodynamic systems that independently attain equilibrium may give rise to a nonequilibrium stationary state (NESS) with a persistent, non-vanishing current. We study a simple example that is…

Statistical Mechanics · Physics 2014-01-23 Hernán Larralde , David P. Sanders

We study the time evolution and steady state of the charge current in a single-impurity Anderson model, using matrix product states techniques. A nonequilibrium situation is imposed by applying a bias voltage across one-dimensional…

Strongly Correlated Electrons · Physics 2013-07-31 Martin Nuss , Martin Ganahl , Hans Gerd Evertz , Enrico Arrigoni , Wolfgang von der Linden

We construct a non-equilibrium steady state and calculate the corresponding current for a mesoscopic Fermi system in the partition-free setting. To this end we study a small sample coupled to a finite number of semi-infinite leads.…

Mathematical Physics · Physics 2011-08-09 Horia D. Cornean , Celine Gianesello , Valentin Zagrebnov

We theoretically investigate the full time evolution of a nonequilibrium double quantum dot structure from initial conditions corresponding to different product states (no entanglement between dot and lead) to a nonequilibrium steady state.…

Mesoscale and Nanoscale Physics · Physics 2014-12-22 R. Härtle , A. J. Millis

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

Non-equilibrium steady states (NESS) describe particularly simple and stationary non-equilibrium situations. A possibility to obtain such states is to consider the asymptotic evolution of two infinite heat baths brought into thermal…

Mathematical Physics · Physics 2018-06-05 Thomas-Paul Hack , Rainer Verch

Consider a small sample coupled to a finite number of leads, and assume that the total (continuous) system is at thermal equilibrium in the remote past. We construct a non-equilibrium steady state (NESS) by adiabatically turning on an…

Mathematical Physics · Physics 2013-04-10 Horia D. Cornean , Pierre Duclos , Radu Purice

We study the steady state of a finite XX chain coupled at its boundaries to quantum reservoirs made of free spins that interact one after the other with the chain. The two-point correlations are calculated exactly and it is shown that the…

Statistical Mechanics · Physics 2009-04-23 Dragi Karevski , Thierry Platini

We construct non-equilibrium steady states in the Klein-Gordon theory in arbitrary space dimension $d$ following a local quench. We consider the approach where two independently thermalized semi-infinite systems, with temperatures $T_{\rm…

Statistical Mechanics · Physics 2015-07-28 Benjamin Doyon , Andrew Lucas , Koenraad Schalm , M. J. Bhaseen

The quasi-static evolution of steady states far from equilibrium is investigated from the point of view of quantum statistical mechanics. As a concrete example of a thermodynamic system, a two-level quantum dot coupled to several reservoirs…

Mathematical Physics · Physics 2009-11-11 Walid K. Abou Salem

The presence of bound states in a nanoscale electronic system attached to two biased, macroscopic electrodes is shown to give rise to persistent, non-decaying, localized current oscillations which can be much larger than the steady part of…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 E. Khosravi , G. Stefanucci , S. Kurth , E. K. U. Gross

We address the question of how a non-equilibrium steady state (NESS) is reached in the Linbdladian dynamics of an open quantum system. We develop an expansion of the density matrix in terms of the NESS-excitations, each of which has its own…

Mesoscale and Nanoscale Physics · Physics 2014-11-19 M. V. Medvedyeva , S. Kehrein

We investigate the Kondo model with time-dependent couplings that are periodically switched on and off. On the Toulouse line we derive exact analytical results for the spin dynamics in the steady state that builds up after an infinite…

Strongly Correlated Electrons · Physics 2010-05-27 Markus Heyl , Stefan Kehrein

We demonstrate the remnant presence of {\em initial} correlations in the {\em steady-state} electrical current flowing between low-dimensional interacting leads. The leads are described as Luttinger liquids and electrons can tunnel via a…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 E. Perfetto , G. Stefanucci , M. Cini

Based on a recent progress in nonequilibrium statistical mechanics of infinitely extended quantum systems, a nonequlibrium steady state (NESS) is constructed for a single-level quantum dot interacting with two free reservoirs under less…

Other Condensed Matter · Physics 2015-06-25 Shuichi Tasaki , Junko Takahashi

We present a construction of non-equilibrium steady states in one-dimensional quantum critical systems carrying energy and charge fluxes. This construction is based on a scattering approach within a real-time hamiltonian reservoir…

Mathematical Physics · Physics 2015-07-28 Denis Bernard , Benjamin Doyon

We explore the effect of two-dimensional position-space non-commutativity on the bipartite entanglement of continuous variable systems. We first extend the standard symplectic framework for studying entanglement of Gaussian states of…

Quantum Physics · Physics 2013-05-29 S. Adhikari , B. Chakraborty , A. S. Majumdar , S. Vaidya

A resistor-network picture of transitions is appropriate for the study of energy absorption by weakly chaotic or weakly interacting driven systems. Such "sparse" systems reach a novel non-equilibrium steady state (NESS) once coupled to a…

Quantum Physics · Physics 2011-03-21 Daniel Hurowitz , Doron Cohen

We address the existence of steady state Green-Keldysh correlation functions of interacting fermions in mesoscopic systems for both the partitioning and partition-free scenarios. Under some spectral assumptions on the non-interacting model…

Mathematical Physics · Physics 2015-06-16 Horia D. Cornean , Claude-Alain Pillet , Valeriu Moldoveanu

A general argument leading from the formula for currents through an open noninteracting mesoscopic system given by the theory of non-equilibrium steady states (NESS) to the Landauer-Buettiker formula is pointed out. Time reversal symmetry…

Mathematical Physics · Physics 2015-06-26 G. Nenciu
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