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For a macroscopic, isolated quantum system in an unknown pure state, the expectation value of any given observable is shown to hardly deviate from the ensemble average with extremely high probability under generic equilibrium and…

统计力学 · 物理学 2007-10-24 Peter Reimann

We model the dynamics of a closed quantum system brought out of mechanical equilibrium, undergoing a non-driven, spontaneous, thermodynamic transformation. In particular, we consider a quantum particle in a box with a moving and insulating…

量子物理 · 物理学 2024-02-21 Sofia Sgroi , Mauro Paternostro

We study the dynamics of classical and quantum systems undergoing a continuous measurement of position by schematizing the measurement apparatus with an infinite set of harmonic oscillators at finite temperature linearly coupled to the…

量子物理 · 物理学 2008-11-26 Carlo Presilla , Roberto Onofrio , Marco Patriarca

We analyze the appearance of non-Markovian effects in the dynamics of a bipartite system coupled to a reservoir, which can be described within a class of non-Markovian equations given by a generalized Lindblad structure. A novel master…

量子物理 · 物理学 2008-09-01 Bassano Vacchini

The precise characterization of dynamics in open quantum systems often presents significant challenges, leading to the introduction of various approximations to simplify a model. One commonly used strategy involves Markovian approximations,…

量子物理 · 物理学 2024-12-04 Zhao-Ming Wang , S. L. Wu , Mark S. Byrd , Lian-Ao Wu

Recently remarkable progress in quantum technology has been witnessed. In view of this it is important to investigate an open quantum system as a model of such quantum devices. Quantum devices often require extreme conditions such as very…

量子物理 · 物理学 2020-12-02 Shingo Kukita , Yasushi Kondo , Mikio Nakahara

We consider quantum systems consisting of a ``small'' system coupled to two reservoirs (called open systems). We show that such a system has no equilibrium states normal with respect to any state of the decoupled system in which the…

数学物理 · 物理学 2007-05-23 M. Merkli , M. Mück , I. M. Sigal

The standard assumption for the equilibrium microcanonical state in quantum mechanics, that the system must be in one of the energy eigenstates, is weakened so as to allow superpositions of states. The weakened form of the microcanonical…

量子物理 · 物理学 2007-05-23 Dorje C Brody , Daniel W Hook , Lane P Hughston

We consider a microscopic collision model, i.e., a quantum system interacts with a hierarchical environment consisting of an auxiliary system and a reservoir. We show how the non-Markovian character of the system is influenced by the…

量子物理 · 物理学 2020-10-27 Yong-Wei Li , Lei Li

The non-extensive statistical mechanics has been used to describe a variety of complex systems. The maximization of entropy, often used to introduce the non-extensive statistical mechanics, is a formal procedure and does not easily leads to…

统计力学 · 物理学 2016-02-22 Julius Ruseckas

Non-Markovian reduced dynamics of an open system is investigated. In the case the initial state of the reservoir is the vacuum state, an approximation is introduced which makes possible to construct a reduced dynamics which is completely…

量子物理 · 物理学 2017-08-23 Andrzej Kossakowski , Rolando Rebolledo

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…

量子物理 · 物理学 2014-02-07 A. Ghesquière , I. Sinayskiy , F. Petruccione

It is shown that the exact dynamics of a composite quantum system can be represented through a pair of product states which evolve according to a Markovian random jump process. This representation is used to design a general Monte Carlo…

量子物理 · 物理学 2007-05-23 Heinz-Peter Breuer

On the basis of analytical results and molecular dynamics simulations we clarify the nonequilibrium dynamics of a long-range interacting system in contact with a heat bath. For small couplings with the bath, we show that the system can…

统计力学 · 物理学 2009-11-13 Fulvio Baldovin , Pierre-Henri Chavanis , Enzo Orlandini

Equilibrium canonical distribution in statistical mechanics assumes weak system-bath coupling (SBC). In real physical situations this assumption can be invalid and equilibrium quantum statistics of the system may be non-canonical. By…

量子物理 · 物理学 2013-02-08 Chee Kong Lee , Jianshu Cao , Jiangbin Gong

We study the nonequilibrium steady-state of a fully-coupled network of $N$ quantum harmonic oscillators, interacting with two thermal reservoirs. Given the long-range nature of the couplings, we consider two setups: one in which the number…

统计力学 · 物理学 2022-09-27 Francesco Andreucci , Stefano Lepri , Stefano Ruffo , Andrea Trombettoni

We evaluate exactly the non-Markovian effect on the decoherence dynamics of a qubit interacting with a dissipative vacuum reservoir and find that the coherence of the qubit can be partially trapped in the steady state when the memory effect…

量子物理 · 物理学 2015-05-13 Qing-Jun Tong , Jun-Hong An , Hong-Gang Luo , C. H. Oh

A thermal equilibrium state of a quantum many-body system can be represented by a typical pure state, which we call a thermal pure quantum (TPQ) state. We construct the canonical TPQ state, which corresponds to the canonical ensemble of the…

统计力学 · 物理学 2014-10-01 Sho Sugiura , Akira Shimizu

We present a formalism for studying the behaviour of quantum systems coupled to nonequilibrium environments exhibiting nonGaussian fluctuations. We discuss the role of a qubit as a detector of the statistics of environmental fluctuations,…

介观与纳米尺度物理 · 物理学 2009-11-13 Clive Emary

We introduce a Hamiltonian dynamics for the description of long-range interacting systems in contact with a thermal bath (i.e., in the canonical ensemble). The dynamics confirms statistical mechanics equilibrium predictions for the…

统计力学 · 物理学 2009-11-11 Fulvio Baldovin , Enzo Orlandini