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Semi-classical approaches approximate fully quantum descriptions with partially classical ones. Here we use a toy model to highlight the failings of the standard mean-field semi-classical approach, and show how including environmental…

量子物理 · 物理学 2026-04-10 Isaac Layton

We develop a recently introduced representation of quantum dynamics based on sampling negative Markov chain processes. By introducing particles and antiparticles, this formalism maps generic quantum dynamics onto a Markov process defined…

量子物理 · 物理学 2026-04-23 Hugo Lóio , Jacopo De Nardis , Tony Jin

The standard quantum mechanical harmonic oscillator has an exact, dual relationship with a completely classical system: a classical particle running along a circle. Duality here means that there is a one-to-one relation between all…

量子物理 · 物理学 2024-10-30 Gerard t Hooft

We address the problem of spin dynamics in the presence of a thermal bath, by solving exactly the appropriate quantum master equations with continued-fraction methods. The crossover region between the quantum and classical domains is…

量子物理 · 物理学 2007-05-23 J. L. Garcia-Palacios , S. Dattagupta

We discuss the transition from a quantum to a classical domain for a model where a separation into environment and system is explicitely not given. Utilizing the coarse graining procedure for free quantum fields we also apply the projection…

量子物理 · 物理学 2007-05-23 A. M. Lisewski

We analyze the interaction between quantum matter and classical objects through a general effective channel for hybrid dynamics, subject to the fundamental constraint that no quantum correlations can be generated between the classical and…

量子物理 · 物理学 2026-03-12 Tianfeng Feng , Chiara Marletto , Vlatko Vedral

Several methods in nonadiabatic molecular dynamics are based on Madelung's hydrodynamic description of nuclear motion, while the electronic component is treated as a finite-dimensional quantum system. In this context, the quantum potential…

数学物理 · 物理学 2024-06-04 François Gay-Balmaz , Cesare Tronci

The transition from quantum to classical behavior is a central question in modern physics. How can we rationalize everyday classical observations from an inherently quantum world? For instance, what makes two people, each absorbing an…

This paper extends the Madelung-Bohm formulation of quantum mechanics to describe the time-reversible interaction of classical and quantum systems. The symplectic geometry of the Madelung transform leads to identifying hybrid…

数学物理 · 物理学 2021-08-19 François Gay-Balmaz , Cesare Tronci

We study the quantum correlation and classical correlation dynamics in a spin-boson model. For two different forms of spectral density, we obtain analytical results and show that the evolutions of both correlations depend closely on the…

量子物理 · 物理学 2015-05-19 Rong-Chun Ge , Ming Gong , Chuan-Feng Li , Jin-Shi Xu , Guang-Can Guo

We investigate deviations from the plane wave model in the interaction of charged particles with strong electromagnetic fields. A general result is that integrability of the dynamics is lost when going from lightlike to timelike or…

高能物理 - 理论 · 物理学 2016-10-05 Thomas Heinzl , Anton Ilderton , Ben King

We introduce configuration space path integrals for quantum fields interacting with classical fields. We show that this can be done consistently by proving that the dynamics are completely positive directly, without resorting to master…

广义相对论与量子宇宙学 · 物理学 2025-07-23 Jonathan Oppenheim , Zachary Weller-Davies

In this paper we demonstrate that any Markovian master equation defining a completely positive evolution for a quantum-classical hybrid state can always be written in terms of four basic coupling mechanisms. Each of them is characterized by…

量子物理 · 物理学 2024-09-17 Adrián A. Budini

The landscape of causal relations that can hold among a set of systems in quantum theory is richer than in classical physics. In particular, a pair of time-ordered systems can be related as cause and effect or as the effects of a common…

量子物理 · 物理学 2017-07-20 Katja Ried , Jean-Philippe W. MacLean , Robert W. Spekkens , Kevin J. Resch

Quantum dynamics of coherent states is studied within quantum field theory using two complementary methods: by organizing the evolution as a Taylor series in elapsed time and by perturbative expansion in coupling within the…

高能物理 - 理论 · 物理学 2021-10-13 Lasha Berezhiani , Michael Zantedeschi

The class of relativistic spin particle models reveals the `quantization' of parameters already at the classical level. The special parameter values emerge if one requires the maximality of classical global continuous symmetries. The same…

高能物理 - 理论 · 物理学 2009-10-31 Mikhail Plyushchay

We propose a hybrid quantum-classical algorithm for the simulation of real-time dynamics in interacting quantum field theories coupled to classical fields, focusing on the self-consistent estimation of semiclassical backreaction. By…

广义相对论与量子宇宙学 · 物理学 2026-03-27 Carlos Fulgado-Claudio , Daniel González-Cuadra , Jose Beltrán Jiménez , Alejandro Bermudez

We numerically analyze the dynamical generation of quantum entanglement in a system of 2 interacting particles, started in a coherent separable state, for decreasing values of $\hbar$. As $\hbar\to 0$ the entanglement entropy, computed at…

量子物理 · 物理学 2015-05-30 Giulio Casati , Italo Guarneri , Jose Reslen

Quantum Darwinism explains the emergence of classical reality from the underlying quantum reality by the fact that a quantum system is observed indirectly, by looking at parts of its environment, so that only specific information about the…

量子物理 · 物理学 2015-08-28 Fernando G. S. L. Brandao , Marco Piani , Pawel Horodecki

The dynamics of a quantum system coupled to a classical environment and subject to constraints that drive it out of equilibrium is described. The evolution of the system is governed by the quantum-classical Liouville equation. Rather than…

统计力学 · 物理学 2025-01-15 Jeremy Schofield , Raymond Kapral