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We develop an exact quantum thermodynamic description for a noninteracting nanoscale steady state that couples strongly with multiple reservoirs. It is demonstrated that there exists a steady-state extension of the thermodynamic function…

介观与纳米尺度物理 · 物理学 2018-04-05 Nobuhiko Taniguchi

We investigate the transient dynamics of the quantum Stuart-Landau oscillator, a paradigmatic quantum system exhibiting a quantum limit cycle and synchronization. From the energy dynamics, we determine a condition for the classical regime…

量子物理 · 物理学 2025-11-03 Hendry M. Lim , Donny Dwiputra , M Shoufie Ukhtary , Ahmad R. T. Nugraha

We give a method of describing thermodynamical transport phenomena, based on a quantum scattering theoretical approach. We consider a quantum system of particles connected to thermodynamical reservoirs by leads. The effects of the…

凝聚态物理 · 物理学 2007-05-23 Tooru Taniguchi

We investigate the steady-state phases of the one-dimensional quantum contact process model. We present the Liouvillian gap in the thermodynamic limit and uncover the metastability of the system. Exploiting the mean-field approximations…

量子物理 · 物理学 2026-02-06 Lin Shang , Shuai Geng , Xingli Li , Jiasen Jin

A pedagogical introduction to matrix Green's function, focusing on its application to steady state transport through discrete-level quantum systems. Topics covered in the notes: 1. Retarded Green's function, spectral function and density of…

介观与纳米尺度物理 · 物理学 2017-04-26 Longwen Zhou

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…

量子物理 · 物理学 2022-01-05 Rodrigo A. Vargas-Hernández , Ricky T. Q. Chen , Kenneth A. Jung , Paul Brumer

The correspondence between the steady state theory of current transfer and scattering theory in a system of coupled tight-binding models of 1-dimensional wires is explored. For weak interwire coupling both calculations give nearly identical…

介观与纳米尺度物理 · 物理学 2015-05-18 Vered Ben-Moshe , Dhurba Rai , Spiros S. Skourtis , Abraham Nitzan

Entanglement underpins the power of quantum technologies, yet it is fragile and typically destroyed by dissipation. Paradoxically, the same dissipation, when carefully engineered, can drive a system toward robust entangled steady states.…

We consider the process of diffusion scattering of a wave function given on the phase space. In this process the heat diffusion is considered only along momenta. We write down the modified Kramers equation describing this situation. In this…

数学物理 · 物理学 2016-10-04 E. M. Beniaminov

We work out the non-equilibrium steady state properties of a harmonic lattice which is connected to heat reservoirs at different temperatures. The heat reservoirs are themselves modeled as harmonic systems. Our approach is to write quantum…

介观与纳米尺度物理 · 物理学 2009-11-11 Abhishek Dhar , Dibyendu Roy

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

Quantum thermodynamics with open systems is often based on the quantum optical weak-coupling master equation or on operational repeated interaction models, whereas early works on thermalisation and on decoherence theory were mostly…

量子物理 · 物理学 2025-06-27 Michael Gaida , Giulio Gasbarri , Stefan Nimmrichter

This article sets up a formalism to describe stochastic thermodynamics for driven out-of-equilibrium open quantum systems. A stochastic Schr\"odinger equation allows to construct quantum trajectories describing the dynamics of the system…

统计力学 · 物理学 2016-10-17 Cyril Elouard , Alexia Auffèves , Maxime Clusel

We present the stochastic thermodynamics analysis of an open quantum system weakly coupled to multiple reservoirs and driven by a rapidly oscillating external field. The analysis is built on a modified stochastic master equation in the…

统计力学 · 物理学 2015-05-12 Gregory Bulnes Cuetara , Andreas Engel , Massimiliano Esposito

A quantum fluctuation theorem for a driven quantum subsystem interacting with its environment is derived based solely on the assumption that its reduced density matrix obeys a closed evolution equation i.e. a quantum master equation (QME).…

统计力学 · 物理学 2010-03-01 Massimiliano Esposito , Shaul Mukamel

In recent years, the study of heat to work conversion has been re-invigorated by nanotechnology. Steady-state devices do this conversion without any macroscopic moving parts, through steady-state flows of microscopic particles such as…

介观与纳米尺度物理 · 物理学 2017-08-14 Giuliano Benenti , Giulio Casati , Keiji Saito , Robert S. Whitney

The approach to a substantiation of thermodynamics is offered. A conservative system of interacting elements, which is not in equilibrium, is used as a model. This system is then split into small subsystems that are accepted as being in…

统计力学 · 物理学 2007-05-23 V. M. Somsikov

Nonperturbative dynamic theory has a particular advantage in studying the transport in a quantum impurity system in a steady state. Here, we develop a new approach for obtaining the retarded Green's function expressed in resolvent form. We…

介观与纳米尺度物理 · 物理学 2009-11-30 Jongbae Hong

Considering stationary states of continuous-variable systems undergoing an open dynamics, we unveil the connection between properties and symmetries of the latter and the dynamical parameters. In particular, we explore the relation between…

量子物理 · 物理学 2016-11-29 F. Nicacio , M. Paternostro , A. Ferraro

In our paper [1], we proposed an original approach to the incorporation of stochastic thermodynamics into quantum theory. It is based on the concept of consistent inclusion of the holistic stochastic environmental influence modeled by…

量子物理 · 物理学 2012-11-14 A. D. Sukhanov , O. N. Golubeva , V. G. Bar'yakhtar
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