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We clarify different definitions of the density matrix by proposing the use of different names, the full density matrix for a single-closed quantum system, the compressed density matrix for the averaged single molecule state from an…

量子物理 · 物理学 2007-05-23 Gui Lu Long , Yi-Fan Zhou , Jia-Qi Jin , Yang Sun , Hai-Woong Lee

Fluctuation Theorems are central in stochastic thermodynamics, as they allow for quantifying the irreversibility of single trajectories. Although they have been experimentally checked in the classical regime, a practical demonstration in…

量子物理 · 物理学 2017-10-27 C. Elouard , N. K. Bernardes , A. R. R. Carvalho , M. F. Santos , A. Auffèves

The work approaches the study of the fluctuations for the thermodynamic systems in the presence of the fields. The approach is of phenomenological nature and developed in a Gaussian approximation. The study is exemplified on the cases of a…

统计力学 · 物理学 2009-10-31 S. Dumitru , A. Boer

Motivated by the search for a quantum analogue of the macroscopic fluctuation theory, we study quantum spin chains dissipatively coupled to quantum noise. The dynamical processes are encoded in quantum stochastic differential equations.…

统计力学 · 物理学 2018-04-20 Michel Bauer , Denis Bernard , Tony Jin

In this work, we study the stochastic entropy production in open quantum systems whose time evolution is described by a class of non-unital quantum maps. In particular, as in [Phys. Rev. E 92, 032129 (2015)], we consider Kraus operators…

量子物理 · 物理学 2023-06-21 Eliana Fiorelli , Stefano Gherardini , Stefano Marcantoni

Expressions for the quantum fluctuations of energy density have been derived for the subsystems consisting of hot relativistic gas of particles with spin-$\frac{1}{2}$ and mass $m$. Our expressions for the fluctuation depend on the form of…

量子物理 · 物理学 2021-11-10 Rajeev Singh

We describe how a model of effective interactions between quantum fluctuations under certain assumptions can be constructed in a way so that the large-scale limit gives an effective theory that matches general relativity in vacuum regions.…

高能物理 - 理论 · 物理学 2025-11-11 Anna Karlsson

Employing the stochastic wave function method, we study quantum features of stochastic entropy production in nonequilibrium processes of open systems. It is demonstarted that continuous measurements on the environment introduce an…

量子物理 · 物理学 2013-10-16 B. Leggio , A. Napoli , A. Messina , H. -P. Breuer

We analyze here in details the probability to find a given number of particles in a finite volume inside a normal or superfluid finite system. This probability, also known as counting statistics, is obtained using projection operator…

核理论 · 物理学 2020-01-22 Denis Lacroix , Sakir Ayik

The partial trace is commonly introduced in quantum mechanics as an algebraic operation used to define reduced states of composite systems. However, the probabilistic origin of this operation goes systematically unnoticed in the literature.…

量子物理 · 物理学 2026-03-26 Andrés Macho Ortiz , Francisco Javier Fraile Peláez , José Capmany

We study the diffusion of a tracer particle driven out-of-equilibrium by an external force and traveling in a dense environment of arbitrary density. The system evolves on a discrete lattice and its stochastic dynamics is described by a…

We present and compare two families of ensembles of random density matrices. The first, static ensemble, is obtained foliating an unbiased ensemble of density matrices. As criterion we use fixed purity as the simplest example of a useful…

量子物理 · 物理学 2015-10-20 Carlos Pineda , Thomas H. Seligman

We study noise-averaged observables for a system of exchange-coupled quantum spins (qubits), each subject to a stochastic drive, by establishing mappings onto stochastic models in the strong-noise limit. Averaging over noise yields…

统计力学 · 物理学 2020-03-16 Daniel A. Rowlands , Austen Lamacraft

At non-zero temperature classical systems exhibit statistical fluctuations of thermodynamic quantities arising from the variation of the system's initial conditions and its interaction with the environment. The fluctuating work, for…

量子物理 · 物理学 2018-02-07 Rui Sampaio , Samu Suomela , Tapio Ala-Nissila , Janet Anders , Thomas Philbin

By means of studying the evolution equation for the Wigner distributions of quantum dissipative systems we derive the quantum corrections to the classical Liouville dynamics, taking into account the standard quantum friction model. The…

量子物理 · 物理学 2019-05-08 Gabriel G. Carlo , Leonardo Ermann , Alejandro M. F. Rivas

We show how random unitary dynamics arise from the coupling of an open quantum system to a static environment. Subsequently, we derive a master equation for the reduced system random unitary dynamics and study three specific cases:…

量子物理 · 物理学 2018-01-17 Chahan M. Kropf , Vyacheslav N. Shatokhin , Andreas Buchleitner

The infinite Atlas model describes the evolution of a countable collection of Brownian particles on the real line, where the lowest particle is given a drift of $\gamma \in [0,\infty)$. We study equilibrium fluctuations for the Atlas model…

概率论 · 数学 2025-06-23 Sayan Banerjee , Amarjit Budhiraja , Peter Rudzis

We investigate theoretically the emergence of classical statistical physics in a finite quantum system that is either totally isolated or otherwise subjected to a quantum measurement process. We show via a random matrix theory approach to…

量子物理 · 物理学 2020-10-23 Charlie Nation , Diego Porras

We numerically analyse quantum survival probability fluctuations in an open, classically chaotic system. In a quasi-classical regime, and in the presence of classical mixed phase space, such fluctuations are believed to exhibit a fractal…

凝聚态物理 · 物理学 2009-11-07 Giuliano Benenti , Giulio Casati , Italo Guarneri , Marcello Terraneo

Quantum decoherence can arise due to classical fluctuations in the parameters which define the dynamics of the system. In this case decoherence, and complementary noise, is manifest when data from repeated measurement trials are combined.…

广义相对论与量子宇宙学 · 物理学 2011-09-13 G. J. Milburn