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We consider a quantum particle coupled (with strength $\la$) to a spatial array of independent non-interacting reservoirs in thermal states (heat baths). Under the assumption that the reservoir correlations decay exponentially in time, we…

数学物理 · 物理学 2015-05-13 W. De Roeck , J. Frohlich , A. Pizzo

Classical thermodynamics is unrivalled in its range of applications and relevance to everyday life. It enables a description of complex systems, made up of microscopic particles, in terms of a small number of macroscopic quantities, such as…

量子物理 · 物理学 2016-01-13 James Millen , André Xuereb

Dissipaton theory had been proposed as an exact and nonperturbative approach to deal with open quantum system dynamics, where the influence of Gaussian environment is characterized by statistical quasi-particles named as dissipatons. In…

量子物理 · 物理学 2024-11-13 Xiang Li , Yu Su , Zi-Hao Chen , Yao Wang , Rui-Xue Xu , Xiao Zheng , YiJing Yan

We analyze the classical and quantized center-of-mass motion of a polarizable particle interacting with the fluctuations of the electromagnetic (EM) field in the presence of a medium. As a polarizable particle is immersed in a thermal…

量子物理 · 物理学 2024-08-29 Clemens Jakubec , Christopher Jarzynski , Kanu Sinha

We address the question of the appearence of ordinary quantum mechanics in the context of noncommutative quantum mechanics. We obtain the noncommutative extension of the Hu-Paz-Zhang master equation for a Brownian particle linearly coupled…

高能物理 - 理论 · 物理学 2008-11-26 Joao Nuno Prata , Nuno Costa Dias

The interaction between solid-state qubits and their environmental degrees of freedom produces non-unitary effects like decoherence and dissipation. Uncontrolled decoherence is one of the main obstacles that must be overcome in quantum…

量子物理 · 物理学 2014-11-24 Paula I. Villar , Fernando C. Lombardo

We analyse the quantum evolution of a particle moving in a potential in interaction with an environment of harmonic oscillators in a thermal state, using the quantum state diffusion (QSD) picture of Gisin and Percival, in which one…

量子物理 · 物理学 2011-07-19 Jonathan Halliwell , Andreas Zoupas

The Brownian motion of a harmonically bound quantum particle and coupled to a harmonic quantum bath is exactly solvable. At low enough temperatures the stationary state is non-Gibbsian due to an entanglement with the bath. This happens when…

统计力学 · 物理学 2009-11-07 Theo M. Nieuwenhuizen , Armen E. Allahverdyan

We consider a quantum point contact between two Luttinger liquids coupled to a mechanical system (oscillator). For non-vanishing bias, we find an effective oscillator temperature that depends on the Luttinger parameter. A generalized…

强关联电子 · 物理学 2009-11-07 M. B. Hastings , I. Martin , D. Mozyrsky

Mesoscopic physics deals with three fundamental issues: quantum coherence, fluctuations and correlations. Here we analyze these issues for atom optics, using a simplified model of an assembly of atoms (or detectors, which are particles with…

量子物理 · 物理学 2007-05-23 B. L. Hu , Alpan Raval

We undertake a thorough analysis of the thermodynamics of the trajectories followed by a quantum harmonic oscillator coupled to $N$ dissipative baths by using a new approach to large-deviation theory inspired by phase-space quantum optics.…

量子物理 · 物理学 2015-07-29 Simon Pigeon , Lorenzo Fusco , André Xuereb , Gabriele De Chiara , Mauro Paternostro

We analytically derive the exact -- though formal -- master equation for a two-level quantum system (qubit) interacting with a bosonic environment within the rotating-wave approximation, assuming the environment is initially in an arbitrary…

量子物理 · 物理学 2025-10-16 Hiromichi Nakazato , Saverio Pascazio

The so-called quantum measurement problems are solved from a new perspective. One of the main observations is that the basic entities of our world are {\it particles}, elementary or composite. It follows that each elementary process, hence…

量子物理 · 物理学 2023-02-20 Kenichi Konishi

Structures of quantum Fokker-Planck equations are characterized with respect to the properties of complete positivity, covariance under symmetry transformations and satisfaction of equipartition, referring to recent mathematical work on…

量子物理 · 物理学 2009-11-07 Bassano Vacchini

The study of quantum mechanics in non-inertial reference frames, particularly in the context of open systems, introduces several intriguing phenomena and challenges. This paper presents a comprehensive framework for analyzing the quantum…

量子物理 · 物理学 2024-04-11 Zi-Fan Zhu , Yu Su , Yao Wang , Rui-Xue Xu , YiJing Yan

It is argued that the world is a dissipative dynamic system, a phase flow of which is formed by conformally-symplectic mapping. The key assumption is that the concept of energy in microcosm makes sense only for the steady motions…

动力系统 · 数学 2009-04-08 A. P. Alexandrov

We consider a single harmonic oscillator coupled to a bath at zero temperature. As is well known, the oscillator then has a higher average energy than that given by its ground state. Here we show analytically that for a damping model with…

量子物理 · 物理学 2009-11-13 ILki Kim , Guenter Mahler

We model a quantum system coupled to an environment of damped harmonic oscillators by following the approach of Caldeira-Leggett and adopting the Caldirola-Kanai Lagrangian for the bath oscillators. In deriving the master equation of the…

量子物理 · 物理学 2023-03-17 Lester Buxton , Marc-Thomas Russo , Jim Al-Khalili , Andrea Rocco

The conventional interpretation of quantum mechanics, though it permits a correspondence to classical physics, leaves the exact mechanism of transition unclear. Though this was only of philosophical importance throughout the twentieth…

量子物理 · 物理学 2008-05-22 John Gamble

We obtain a non-Markovian quantum master equation directly from the quantization of a non-Markovian Fokker-Planck equation describing the Brownian motion of a particle immersed in a generic environment (e.g. a non-thermal fluid). As far as…

统计力学 · 物理学 2011-03-25 A. O. Bolivar