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We consider the generic model of a finite-size quantum electron system connected to two (temperature and particle) reservoirs. The quantum open system is driven out of equilibrium by the presence of both a temperature and a chemical…

统计力学 · 物理学 2017-04-04 H. Ness

In this paper, we formally demonstrate that the non-equilibrium density matrix developed by Hershfield for the steady state has the form of a McLennan-Zubarev non-equilibrium ensemble. The correction term in this pseudo equilibrium…

统计力学 · 物理学 2014-02-26 H. Ness

In these notes I explain how to describe one-dimensional quantum systems that are simultaneously near to, but not exactly at, a critical point, and in a far-from-equilibrium steady state. This description uses a density matrix on scattering…

统计力学 · 物理学 2012-12-06 Benjamin Doyon

With this work we investigate the stationary nonequilibrium density matrix of current carrying nonequilibrium steady states of in-between quantum systems that are connected to reservoirs. We describe the analytical procedure to obtain the…

统计力学 · 物理学 2015-05-28 Abhishek Dhar , Keiji Saito , Peter Hanggi

For open quantum systems coupled to a thermal bath at inverse temperature $\beta$, it is well known that under the Born-, Markov-, and secular approximations the system density matrix will approach the thermal Gibbs state with the bath…

量子物理 · 物理学 2011-03-15 Gernot Schaller

When a quantum system is subject to a thermal gradient it may sustain a steady non-equilibrium heat current, by entering into a so-called non equilibrium steady state (NESS). Here we show that NESS constitute a thermodynamic resource that…

We consider a stochastic heat conduction model for solids composed by N interacting atoms. The system is in contact with two heat baths at different temperature $T_\ell$ and $T_r$. The bulk dynamics conserve two quantities: the energy and…

统计力学 · 物理学 2009-11-13 Cedric Bernardin

Open quantum systems are studied from the thermodynamical point of view unifying the principle of maximum informational entropy and the hypothesis of relaxation times hierarchy. The result of the unification is a non-Markovian and local in…

量子物理 · 物理学 2014-11-24 Vitalii Semin , Francesco Petruccione

Results on heat current, entropy production rate and entanglement are reported for a quantum system coupled to two different temperature heat reservoirs. By applying a temperature gradient, different quantum states can be found with exactly…

介观与纳米尺度物理 · 物理学 2013-05-29 Luis Quiroga , Ferney J. Rodriguez , Maria E. Ramirez , Roberto Paris

Considering von Neumann expression for reduced density matrix as thermodynamic entropy of a system strongly coupled to baths, we use nonequilibrium Green's function (NEGF) techniques to derive bath and energy resolved expressions for…

介观与纳米尺度物理 · 物理学 2021-02-17 Nikhil Seshadri , Michael Galperin

We present basic equations of nonequilibrium thermo field dynamics of dense quantum systems. A formulation of nonequilibrium thermo field dynamics has been performed using the nonequilibrium statistical operator method by D.N.Zubarev.…

核理论 · 物理学 2007-05-23 M. V. Tokarchuk , A. E. Kobryn

A solid state electronic nanodevice is an intrinsically open quantum system, exchanging both energy with the host material and carriers with connected reservoirs. Its out-of-equilibrium behavior is determined by a non-trivial interplay…

介观与纳米尺度物理 · 物理学 2013-09-18 Fabrizio Dolcini , Rita Claudia Iotti , Fausto Rossi

We study the nonequilibrium steady state (NESS) in a quantum system in contact with two heat baths at different temperatures. We use a time-independent perturbative expansion with respect to the coupling with the two heat baths to obtain…

统计力学 · 物理学 2012-03-20 Ayumu Sugita

We study the internal dynamics of an elementary quantum system placed close to a body held at a temperature different from that of the surrounding radiation. We derive general expressions for lifetime and density matrix valid for bodies of…

量子物理 · 物理学 2015-03-20 Bruno Bellomo , Riccardo Messina , Mauro Antezza

We extend the notion of the Eigenstate Thermalization Hypothesis (ETH) to Open Quantum Systems governed by the Gorini-Kossakowski-Lindblad-Sudarshan (GKLS) Master Equation. We present evidence that the eigenstates of non-equilibrium steady…

统计力学 · 物理学 2019-07-10 Sanjay Moudgalya , Trithep Devakul , D. P. Arovas , S. L. Sondhi

The theoretical description of strongly correlated quantum systems out of equilibrium presents several challenges and a number of open questions persist. In this paper we focus on nonlinear electronic transport through a quantum dot…

强关联电子 · 物理学 2012-11-27 Prasenjit Dutt , Jens Koch , J. E. Han , Karyn Le Hur

This paper studies quantum systems with a finite number of degrees of freedom in the context of non-extensive thermodynamics. A trial density matrix, obtained by heuristic methods, is proved to be the equilibrium density matrix. If the…

数学物理 · 物理学 2009-10-31 Jan Naudts

We present an approach based on a density matrix expansion to study thermodynamic properties of a quantum system strongly coupled to two or more baths. For slow external driving of the system, we identify the adiabatic and nonadiabatic…

统计力学 · 物理学 2020-06-24 Wenjie Dou , Jakob Bätge , Amikam Levy , Michael Thoss

We consider a situation where an $N$-level system (NLS) is coupled successively to two heat baths with different temperatures without being necessarily thermalized and approaches a steady state. For this situation we apply a general…

统计力学 · 物理学 2021-08-09 Heinz-Jürgen Schmidt , Jochen Gemmer

This work presents a general unifying theoretical framework for quantum non-equilibrium systems. It is based on a re-statement of the dynamical problem as one of inferring the distribution of collision events that move a system toward…

量子物理 · 物理学 2015-03-30 David M. Rogers
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