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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

I give a pedagogical overview of decoherence and its role in providing a dynamical account of the quantum-to-classical transition. The formalism and concepts of decoherence theory are reviewed, followed by a survey of master equations and…

量子物理 · 物理学 2019-11-22 Maximilian Schlosshauer

The non-Markovian nature of quantum systems recently turned to be a key subject for investigations on open quantum system dynamics. Many studies, from its theoretical grounding to its usefulness as a resource for quantum information…

Different structures of master-equation used for the description of decoherence of a microsystem interacting through collisions with a surrounding environment are considered and compared. These results are connected to the general…

量子物理 · 物理学 2007-05-23 Bassano Vacchini

The emergence of classical behaviour in quantum theory is often ascribed to the interaction of a quantum system with its environment, which can be interpreted as environmental monitoring of the system. As a result, off-diagonal elements of…

量子物理 · 物理学 2025-04-24 Dorje C. Brody , Eva-Maria Graefe , Rishindra Melanathuru

Upon revisiting the Hamiltonian structure of classical wavefunctions in Koopman-von Neumann theory, this paper addresses the long-standing problem of formulating a dynamical theory of classical-quantum coupling. The proposed model not only…

数学物理 · 物理学 2019-09-06 Denys I. Bondar , François Gay-Balmaz , Cesare Tronci

Nelson's stochastic mechanics links quantum mechanics to an underlying Brownian motion with the identification $\hbar = m\sigma$. Ghose's interpolating equation introduces a continuous parameter $\lambda$ that suppresses the quantum…

量子物理 · 物理学 2025-11-03 Partha Ghose

A quantum system that interacts with an environment generally undergoes nonunitary evolution described by a non-Markovian or Markovian master equation. In this paper, we construct the non-Markovian Redfield master equation for a quantum…

高能物理 - 理论 · 物理学 2026-01-13 Brenden Bowen , Nishant Agarwal , Archana Kamal

We study quantum dissipative dynamics of entanglement in the spin-boson model, described by the generalized master equation. We consider the two opposite limits of pure-dephasing and relaxation models, measuring the degree of entanglement…

介观与纳米尺度物理 · 物理学 2007-05-23 Jong Soo Lim , Mahn-Soo Choi , M. Y. Choi

A general semiclassical approach to quantum systems with system-bath interactions is developed. We study system decoherence in detail using a coherent state semiclassical wavepacket method which avoids singularity issues arising in the…

量子物理 · 物理学 2009-11-07 Gregory A. Fiete , Eric J. Heller

We consider the non-relativistic quantum Boltzmann equation for fermions and bosons. Using the nonlinear energy method and mild formulation, we justify the global well-posedness when the density function is near the global Maxwellian and…

偏微分方程分析 · 数学 2021-02-09 Zhimeng Ouyang , Lei Wu

The goal of this article is to investigate the dynamics of semi-relativistic or non-relativistic charged particles in interaction with a scalar meson field. Our main contribution is the derivation of the classical dynamics of a…

数学物理 · 物理学 2024-05-22 Shahnaz Farhat

Quantum Darwinism extends the traditional formalism of decoherence to explain the emergence of classicality in a quantum universe. A classical description emerges when the environment tends to redundantly acquire information about the…

量子物理 · 物理学 2020-04-09 Graeme Pleasance , Barry M. Garraway

Quantum correlation lies at the very heart of almost all the non-classical phenomena exhibited by quantum systems composed of more than one subsystem. In the recent days it has been pointed out that there exists quantum correlation, namely…

量子物理 · 物理学 2015-04-17 Prasenjit Deb , Manik Banik

We develop a new master equation as a unified description of the effects of both quantum noise (system-bath interaction) and classical noise on a system's dynamics, using a two-dimensional series expansion method. When quantum and classical…

量子物理 · 物理学 2020-04-30 Li Yu

We present a rigorous analysis of the phenomenon of decoherence for general $N-$level systems coupled to reservoirs. The latter are described by free massless bosonic fields. We apply our general results to the specific cases of the qubit…

量子物理 · 物理学 2009-11-13 M. Merkli , I. M. Sigal , G. P. Berman

A novel theory of hybrid quantum-classical systems is developed, utilizing the mathematical framework of constrained dynamical systems on the quantum-classical phase space. Both, the quantum and the classical descriptions of the respective…

量子物理 · 物理学 2015-06-16 N. Buric , D. B. Popovic , S. Prvanovic , M. Radonjic

The dynamic of a classical system can be expressed by means of Poisson brackets. In this paper we generalize the relation between the usual non covariant Hamiltonian and the Poisson brackets to a covariant Hamiltonian and new brackets in…

经典物理 · 物理学 2007-05-23 A. Berard , H. Mohrbach , P. Gosselin

Polymomentum canonical theories, which are manifestly covariant multi-parameter generalizations of the Hamiltonian formalism to field theory, are considered as a possible basis of quantization. We arrive at a multi-parameter hypercomplex…

高能物理 - 理论 · 物理学 2010-12-13 I. V. Kanatchikov

A semiclassical approximation is derived by using a family of wavepackets to map arbitrary wavefunctions into phase space. If the Hamiltonian can be approximated as linear over each individual wavepacket, as often done when presenting…

量子物理 · 物理学 2024-04-30 Clay D. Spence