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We study a driven harmonic oscillator operating an Otto cycle between two thermal baths of finite size. By making extensive use of the tools of Gaussian quantum mechanics, we directly simulate the dynamics of the engine as a whole, without…

Quantum Physics · Physics 2018-04-19 Alejandro Pozas-Kerstjens , Eric G. Brown , Karen V. Hovhannisyan

We study the evolution of entanglement of a pair of coupled, non-resonant harmonic oscillators in contact with an environment. For both the cases of a common bath and of two separate baths for each of the oscillators, a full master equation…

Quantum Physics · Physics 2018-04-06 Fernando Galve , Gian Luca Giorgi , Roberta Zambrini

The generic behavior of purely dissipative open quantum many-body systems with local dissipation processes can be investigated using random matrix theory, revealing a hierarchy of decay timescales of observables organized by their…

Quantum Physics · Physics 2024-02-12 Nick D. Hartmann , Jimin L. Li , David J. Luitz

We consider quantum systems consisting of a linear chain of n harmonic oscillators coupled by a nearest neighbour interaction of the form $-q_r q_{r+1}$ ($q_r$ refers to the position of the $r$th oscillator). In principle, such systems are…

Mathematical Physics · Physics 2009-02-27 G. Regniers , J. Van der Jeugt

This paper extends the previously reported theory of dissipation pathways [J. Chem. Phys. 160, 214111 (2024)] to incorporate off-diagonal subsystem-bath coupling, which is often required to model molecular systems where the environment…

Chemical Physics · Physics 2026-01-26 Ignacio Gustin , Chang Woo Kim , Ignacio Franco

We study the dissipative dynamics of a harmonic oscillator which couples linearly through its position and its momentum to two independent heat baths at the same temperature. We argue that this model describes a large spin in a ferromagnet.…

Statistical Mechanics · Physics 2009-11-11 Heiner Kohler , Fernando Sols

Heat transport in open quantum systems is particularly susceptible to the modeling of system-reservoir interactions. It thus requires to consistently treat the coupling between a quantum system and its environment. While perturbative…

Statistical Mechanics · Physics 2017-06-07 Thomas Motz , Joachim Ankerhold , Jürgen T. Stockburger

The paper addresses the problem of relaxation of open quantum systems. Using the path integral methods we found an analytical expression for time-dependent density matrix of two coupled quantum oscillators interacting with different baths…

Quantum Physics · Physics 2014-12-16 Illarion Dorofeyev

The quantum dynamics of two-level systems under classical oscillator heat bath is mapped to the classical one of a charged particle under harmonic oscillator potential plus a magnetic field in a plane. The behavior of eigenstates and…

Condensed Matter · Physics 2008-02-03 Mo-lin Ge , Lei Wang

We introduce a new theoretical approach to dissipative quantum systems. By means of a continuous sequence of infinitesimal unitary transformations, we decouple the small quantum system that one is interested in from its thermodynamically…

Condensed Matter · Physics 2016-08-31 Stefan K. Kehrein , Andreas Mielke

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

A systematic procedure for deriving the master equation of a dissipative system is reported in the framework of stochastic description. For the Caldeira-Leggett model of the harmonic-oscillator bath, a detailed and elementary derivation of…

Quantum Physics · Physics 2015-05-30 Haifeng Li , Jiushu Shao , Shikuan Wang

The simulation of open quantum systems coupled to a reservoir through multiple channels remains a substantial challenge. This kind of open quantum system arises when considering the radiationless decay of excited states that are coupled to…

Quantum Physics · Physics 2023-07-14 Hanggai Nuomin , Jiaxi Wu , Peng Zhang , David N. Beratan

We investigate the dynamics of interacting quantum harmonic oscillators coupled to thermal reservoirs under the influence of an external driving field. In a novel theoretical scheme, we first analyze the case of two interacting oscillators,…

Quantum Physics · Physics 2026-05-26 Ronak Moradi , Fardin Kheirandish

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 analyze a system coupled to a bath of independent harmonic oscillators. We transform the bath in chain structure by solving an inverse eigenvalue problem. We solve the equations of motion for the collective variables defined by this…

Quantum Physics · Physics 2015-06-11 L. Ferialdi , D. Dürr

We investigate the thermal responses of a harmonic oscillator chain coupled at its boundaries to heat baths held at different temperatures. This setup sustains a steady energy flux, continuously dissipating heat into both reservoirs. By…

Statistical Mechanics · Physics 2026-04-16 Michiel Gautama , Faezeh Khodabandehlou , Christian Maes , Ion Santra

In the present paper we study the entanglement properties of thermal (a.k.a. Gibbs) states of quantum harmonic oscillator systems as functions of the Hamiltonian and the temperature. We prove the physical intuition that at sufficiently high…

Quantum Physics · Physics 2008-03-07 Janet Anders , Andreas Winter

We introduce a type of quantum dissipation -- local quantum friction -- by adding to the Hamiltonian a local potential that breaks time-reversal invariance so as to cool the system. Unlike the Kossakowski-Lindblad master equation, local…

Nuclear Theory · Physics 2013-05-30 Aurel Bulgac , Michael McNeil Forbes , Kenneth J. Roche , Gabriel Wlazłowski

We investigate how to model Markovian evolution of coupled harmonic oscillators, each of them interacting with a local environment. When the coupling between the oscillators is weak, dissipation may be modeled using local Lindblad terms for…

Quantum Physics · Physics 2014-12-17 Chaitanya Joshi , Patrik Ohberg , James D. Cresser , Erika Andersson
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