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Related papers: Heat transport in quantum harmonic chains with Red…

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In this article we extend the results presented in Ref. [Phys. Rev. A 76, 032101 (2007)] to treat quantitatively the effects of reservoirs at finite temperature in a bosonic dissipative network: a chain of coupled harmonic oscillators…

Quantum Physics · Physics 2015-05-13 M. A. de Ponte , S. S. Mizrahi , M. H. Y. Moussa

We present a unified description of heat flow in two-terminal hybrid quantum systems. Using simple models, we analytically study nonlinear aspects of heat transfer between various reservoirs: metals, solids, and spin baths, mediated by the…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Lian-Ao Wu , Claire X. Yu , Dvira Segal

This work makes progress on the issue of global vs. local master equations. Global master equations like the Redfield master equation (following from standard Born and Markov approximation) require a full diagonalization of the system…

Quantum Physics · Physics 2025-07-30 Alexander Schnell

We derive a thermodynamically consistent quantum master equation that satisfies locality for quadratic systems coupled to independent and identical baths at each site. We show that the quasi-local Redfield equation coincides exactly with…

Quantum Physics · Physics 2026-05-14 Koki Shiraishi , Masaya Nakagawa , Takashi Mori

We present an exact analytical solution of the Hu-Paz-Zhang master equation in a precise Markovian limit for a system of two harmonically coupled harmonic oscillators interacting with a common thermal bath of harmonic oscillators. The…

Quantum Physics · Physics 2026-02-16 Gábor Homa , Dávid Hamar , József Zsolt Bernád , Peter Adam , András Csordás

We present a critical derivation of the high-temperature quantum Markovian master equation (HTME), examining its foundational assumptions, their quantum-mechanical implications, and its range of validity. Starting from the Born-Markov…

Quantum Physics · Physics 2025-08-27 Ricardo C. Zamar , J. Agustín Taboada

We consider unsteady ballistic heat transport in a semi-infinite Hooke chain with a free end and an arbitrary heat source. An analytical description of the evolution of the kinetic temperature is proposed in both discrete (exact) and…

Statistical Mechanics · Physics 2025-10-21 Sergei D. Liazhkov

We study the statistical mechanics of a finite-dimensional non-linear Hamiltonian system (a chain of anharmonic oscillators) coupled to two heat baths (described by wave equations). Assuming that the initial conditions of the heat baths are…

chao-dyn · Physics 2016-08-31 Jean-Pierre Eckmann , Claude-Alain Pillet , Luc Rey-Bellet

Quantum thermodynamics is emerging both as a topic of fundamental research and as means to understand and potentially improve the performance of quantum devices. A prominent platform for achieving the necessary manipulation of quantum…

Mesoscale and Nanoscale Physics · Physics 2018-11-14 Alberto Ronzani , Bayan Karimi , Jorden Senior , Yu-Cheng Chang , Joonas T. Peltonen , ChiiDong Chen , Jukka P. Pekola

We consider a quantum system linearly coupled to a reservoir of harmonic oscillators. For finite coupling strengths, the stationary distribution of the damped system is not of the Gibbs form, in contrast to standard thermodynamics. With the…

Statistical Mechanics · Physics 2013-05-29 Stefanie Hilt , Benedikt Thomas , Eric Lutz

In this study, we model a harmonic oscillator that enters an interferometer partially coupled to a thermal bath of oscillatory fields by employing a Brownian-type Lindblad master equation. More specifically, we investigate the dynamics and…

Quantum Physics · Physics 2019-07-02 Ali Soltanmanesh , Afshin Shafiee

We investigate dynamics of a small quantum system open to a bath with thermostat. We introduce another bath, called super bath, weakly coupled with the bath to provide it with thermostat, which has either the Lindblad or Redfield type. We…

Quantum Physics · Physics 2024-04-25 Chulan Kwon , Ju-Yeon Gyhm

We formulate a full-counting statistics description to study energy exchange in multi-terminal junctions. Our approach applies to quantum systems that are coupled either additively or non-additively (cooperatively) to multiple reservoirs.…

Mesoscale and Nanoscale Physics · Physics 2018-08-29 Hava Meira Friedman , Bijay Kumar Agarwalla , Dvira Segal

The quantum dynamics of coupled subsystems connected to a thermal bath is studied. In some of the earlier work the effect of intercenter coupling on the dissipative part was neglected. This is equivalent to a zeroth-order perturbative…

Chemical Physics · Physics 2009-11-06 Ulrich Kleinekathoefer , Ivan Kondov , Michael Schreiber

There is presently considerable interest in accurately simulating the evolution of open systems for which Markovian master equations fail. Examples are systems that are time-dependent and/or strongly damped. A number of elegant methods have…

Quantum Physics · Physics 2014-04-23 Luciano Silvestri , Kurt Jacobs , Vanja Dunjko , Maxim Olshanii

We derive rigorous quantum mechanical bounds for the heat current through a nanojunction connecting two thermal baths at different temperatures. Based on exact sum rules, these bounds compliment the well-known quantum of thermal conductance…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Edward Taylor , Dvira Segal

We consider the global thermal state of classical and quantum harmonic oscillators that interact with a reservoir. Ohmic damping of the oscillator can be exactly treated with a 1D scalar field reservoir, whereas general non-Ohmic damping is…

Quantum Physics · Physics 2016-05-25 T. G. Philbin , J. Anders

Describing open quantum systems far from equilibrium is challenging, in particular when the environment is mesoscopic, when it develops nonequilibrium features during the evolution, or when the memory effects cannot be disregarded. Here, we…

Quantum Physics · Physics 2021-03-17 Andreu Riera-Campeny , Anna Sanpera , Philipp Strasberg

The study of non-equilibrium properties in topological systems is of practical and fundamental importance. Here, we analyze the stationary properties of a two-dimensional bosonic Hofstadter lattice coupled to two thermal baths in the…

Mesoscale and Nanoscale Physics · Physics 2017-07-26 Ángel Rivas , Miguel A. Martin-Delgado

The study of quantum thermal machines, and more generally of open quantum systems, often relies on master equations. Two approaches are mainly followed. On the one hand, there is the widely used, but often criticized, local approach, where…