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Within the f-deformed oscillator formalism, we derive a Markovian master equation for the description of the damped dynamics of nonlinear systems that interact with their environment. The applicability of this treatment to the particular…

Quantum Physics · Physics 2017-10-09 O. de los Santos-Sánchez , J. Récamier , R. Jáuregui

We establish a quantum functional central limit for the dynamics of a system coupled to a Fermionic bath with a general interaction linear in the creation, annihilation and scattering of the bath reservoir. Following a quantum Markovian…

Quantum Physics · Physics 2007-05-23 John Gough , Andrei Sobolev

We establish the existence of two weak coupling regime effective dynamics for an open quantum system of repeated interactions (vanishing strength and individual interaction duration, respectively). This generalizes known results in that the…

Mathematical Physics · Physics 2008-09-10 Rodrigo Vargas

The non-equilibrium behavior of particle systems driven by reservoirs has been extensively studied in recent years. In one dimension, various regimes have been explored depending on the coupling strength to the reservoirs. In this paper, we…

Statistical Mechanics · Physics 2026-05-05 Thierry Bodineau , Bernard Derrida

Non-relativistic quantum mechanics is reformulated here based on the idea that relational properties among quantum systems, instead of the independent properties of a quantum system, are the most fundamental elements to construct quantum…

Quantum Physics · Physics 2021-04-20 Jianhao M. Yang

The quantum dynamics of pairs of two level systems immersed in dissipative reservoirs with sub-Ohmic spectral distributions is studied by means of numerically exact path integral Monte Carlo methods. It is shown that this class of…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Denis Kast , Joachim Ankerhold

We analyze a variant of the Desai-Zwanzig model [J. Stat. Phys. {\bf 19}1-24 (1978)]. In particular, we study stationary states of the mean field limit for a system of weakly interacting diffusions moving in a multi-well potential energy…

Statistical Mechanics · Physics 2019-03-13 Susana N. Gomes , Serafim Kalliadasis , Grigorios A. Pavliotis , Petr Yatsyshin

The master equation describing the non-equilibrium dynamics of a quantum dot coupled to metallic leads is considered. Employing a superoperator approach, we derive an exact time-convolutionless master equation for the probabilities of dot…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Carsten Timm

Aiming to establish a rigorous link between macroscopic random motion (described e.g. by Langevin-type theories) and microscopic dynamics, we have undertaken a kinetic-theoretical study of the dynamics of a classical test-particle weakly…

Statistical Mechanics · Physics 2009-11-11 I. Kourakis , A. P. Grecos

The conditions under which an open quantum mechanical system may be described by mixed quantum-classical dynamics are investigated. Decoherence is studied using influence functional methods in a model composite quantum system comprising two…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Kazutomu Shiokawa , Raymond Kapral

The theoretical description of materials' properties driven out of equilibrium has important consequences in various fields such as semiconductor spintronics, nonlinear optics, continuous and discrete quantum information science and…

Materials Science · Physics 2025-09-18 Jacopo Simoni , Gabriele Riva , Yuan Ping

A system of two coupled oscillators, each of them coupled to an independent reservoir, is analysed. The analytical solution of the non-rotating wave master equation is obtained in the high-temperature and weak coupling limits. No thermal…

Quantum Physics · Physics 2014-02-07 A. Ghesquière , I. Sinayskiy , F. Petruccione

A consistent local approach to the study of interacting relativistic fermion systems with a condensation of bare particles in its ground or vacuum state, which may has a finite matter density, is developed. The attention is payed to some of…

High Energy Physics - Theory · Physics 2011-08-04 S. Ying

Using an exact approach, we study the dynamics of entanglement between two qubits coupled to independent reservoirs and between the two, initially disentangled, reservoirs. We also describe the transfer of bipartite entanglement from the…

Quantum Physics · Physics 2012-01-31 Francesco Plastina , Sabrina Maniscalco

By using projection superoperators, we present a new derivation of the quantum master equation first obtained by the Authors in Phys. Rev. E {\bf 68}, 066112 (2003). We show that this equation describes the dynamics of a subsystem weakly…

Statistical Mechanics · Physics 2010-03-01 Massimiliano Esposito , Pierre Gaspard

We show theoretically how the periodic coupling between an engineered reservoir and a quantum Brownian particle leads to the formation of a dynamical steady state which is characterized by an effective temperature above the temperature of…

Quantum Physics · Physics 2007-05-23 J. Piilo , S. Maniscalco , K. -A. Suominen

To prepare quantum states and extract information, it is often assumed that one can perform a perfectly projective measurement. Such measurements can achieve an uncorrelated system and environment state. However, perfectly projective…

Quantum Physics · Physics 2025-06-25 Alvin Gonzales , Daniel Dilley , Mark Byrd

The relativistic approach to electroweak properties of two-particle composite systems developed in previous work is generalized here to the case of nonzero spin. This approach is based on the use of the instant form of relativistic…

High Energy Physics - Phenomenology · Physics 2013-05-29 A. F. Krutov , V. E. Troitsky

We consider a system weakly interacting with a bath as a thermodynamic setting to establish a quantum foundation of statistical physics. It is shown that even if the composite system is initially in an arbitrary nonequilibrium pure quantum…

Quantum Physics · Physics 2010-04-28 Jaeyoon Cho , M. S. Kim

Quantification of entanglement against mixing is given for a system of coupled qubits under a phase damping channel. A family of pure initial joint states is defined, ranging from pure separable states to maximally entangled state. An…

Quantum Physics · Physics 2009-11-11 E. S. Cardoso , M. C. de Oliveira , K. Furuya
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