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Classical Koopman--von Neumann Hilbert spaces of states are constructed here by the action of classical random fields on a vacuum state in ways that support an action of the quantized electromagnetic field and of the $U(1)$--invariant…

量子物理 · 物理学 2021-01-25 Peter Morgan

We study various types of multipartite states lying near the quantum-classical boundary. The class of so-called classical states are precisely those in which each party can perform a projective measurement to identify a locally held state…

量子物理 · 物理学 2011-05-18 Lin Chen , Eric Chitambar , Kavan Modi , Giovanni Vacanti

The concept of an injective affine embedding of the quantum states into a set of classical states, i.e., into the set of the probability measures on some measurable space, as well as its relation to statistically complete observables is…

量子物理 · 物理学 2015-06-16 Werner Stulpe

A new form of quasiclassical space-time dynamics for constrained systems reveals how quantum effects can be derived systematically from canonical quantization of gravitational systems. These quasiclassical methods lead to additional fields,…

广义相对论与量子宇宙学 · 物理学 2024-01-04 Kallan Berglund , Martin Bojowald , Manuel Diaz , Gianni Sims

Much of the richness in nature arises due to the connection between classical and quantum mechanics. In advanced science, the tools of quantum mechanics was not only applied in microscopic description but also found its efficacy in…

光学 · 物理学 2021-04-15 Zhaoyang Wang , Ziyu Zhan , Xing Fu , Yijie Shen

In this work we present the results of a numerical and semiclassical analysis of high lying states in a Hamiltonian system, whose classical mechanics is of a generic, mixed type, where the energy surface is split into regions of regular and…

混沌动力学 · 物理学 2009-10-31 Gregor Veble , Marko Robnik , Junxian Liu

We study the concepts of compatibility and separability and their implications for quantum and classical systems. These concepts are illustrated on a macroscopic model for the singlet state of a quantum system of two entangled spin 1/2 with…

量子物理 · 物理学 2012-03-28 Diederik Aerts , Christian de Ronde , Bart D'Hooghe

We construct a macroscopic semiclassical state state for a quantum tetrahedron. The expectation values of the geometrical operators representing the volume, areas and dihedral angles are peaked around assigned classical values, with…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Carlo Rovelli , Simone Speziale

We study effective models describing systems of quantum particles interacting with quantized (electromagnetic) fields in the quasi-classical regime, i.e., when the field's state shows a large average number of excitations. Once the field's…

数学物理 · 物理学 2025-03-19 S. Breteaux , M. Correggi , M. Falconi , J. Faupin

The notion of "closed systems" in Quantum Mechanics is discussed. For this purpose, we study two models of a quantum-mechanical system $P$ spatially far separated from the "rest of the universe" $Q$. Under reasonable assumptions on the…

数学物理 · 物理学 2015-05-06 Jérémy Faupin , Jürg Fröhlich , Baptiste Schubnel

Description of nonclassicality of states has hitherto been through violation of Bell inequality and non-separability, with the latter being a stronger constraint. In this paper, we show that this can be further sharpened, by introducing the…

量子物理 · 物理学 2015-06-18 H. M. Bharath , V. Ravishankar

We discuss an approach to determine averages of the work, dissipated heat and variation of internal energy of an open quantum system driven by an external classical field. These quantities are measured by coupling the quantum system to a…

量子物理 · 物理学 2022-03-23 Paolo Solinas , Mirko Amico , Nino N. Zanghì

In a recent short note [Bergeron H, Gazeau J P, Siegl P and Youssef A 2010 EPL 92 60003], we have presented the nice properties of a new family of semi-classical states for P\"oschl-Teller potentials. These states are built from a…

数学物理 · 物理学 2012-06-18 H. Bergeron , P. Siegl , A. Youssef

It is first shown that when the Schr\"{o}dinger equation for a wave function is written in the polar form, complete information about the system's {\em quantum-ness} is separated out in a single term $Q$, the so called `quantum potential'.…

量子物理 · 物理学 2018-01-09 Partha Ghose

The domain of application of quantization methods is traditionally restricted to smooth classical observables. We show that the coherent states or "anti-Wick" quantization enables us to construct fairly reasonable quantum versions of…

量子物理 · 物理学 2008-12-03 Biswajit Chakraborty , Jean Pierre Gazeau , Ahmed Youssef

In the type II von Neumann algebras that appear in semiclassical gravity, all states have infinite entropy, but entropy differences are uniquely defined. Akers and I have shown that the entropy difference of microcanonical states has a…

高能物理 - 理论 · 物理学 2025-01-30 Jonathan Sorce

We propose a general scheme for dissipatively preparing arbitrary pure quantum states on a multipartite qubit register in a finite number of basic control blocks. Our "splitting-subspace" approach relies on control resources that are…

量子物理 · 物理学 2013-11-19 Giacomo Baggio , Francesco Ticozzi , Lorenza Viola

Quantum decoherence provides a framework to study the emergence of classicality from quantum systems by showing how interactions with the environment suppress interferences and select robust states known as pointer states. Earlier studies…

We provide an overview of a canonical formalism that describes mixed quantum-classical systems in terms of statistical ensembles on configuration space, and discuss applications to measurement theory. It is shown that the formalism allows a…

量子物理 · 物理学 2009-07-06 M Reginatto , M J W Hall

We show that several classes of mixed quantum states in finite-dimensional Hilbert spaces which can be characterized as being, in some respect, 'most classical' can be described and analyzed in a unified way. Among the states we consider…

量子物理 · 物理学 2013-05-29 Marek Kuś , Ingemar Bengtsson