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The linearization of semiclassical theories of gravity is investigated in a toy model, consisting of a quantum scalar field in interaction with a second classical scalar field which plays the role of a classical background. This toy model…

Mathematical Physics · Physics 2022-11-18 Paolo Meda , Nicola Pinamonti

We consider a quantum system of non-interacting fermions at temperature T, in the framework of linear response theory. We show that semiclassical theory is an appropriate framework to describe some of their thermodynamic properties, in…

Mathematical Physics · Physics 2009-11-07 Monique Combescure , Didier Robert

A nonlinear dynamics semi-classical model is used to show that standard quantum spin analysis can be obtained. The model includes a classically driven nonlinear differential equation with dissipation and a semi-classical interpretation of…

Quantum Physics · Physics 2018-11-08 Joshua J. Heiner , David R. Thayer

We review various semiclassical models for strong-field physics. These semiclassical models employ ensembles of classical trajectories to simulate electron motion in the continuum after being released from an atom or molecule by an external…

Atomic Physics · Physics 2025-10-16 Nikolay Shvetsov-Shilovski

For want of a more natural proposal, it is generally assumed that the back-reaction of a quantised matter field on a classical metric is given by the expectation value of its energy-momentum tensor, evaluated in a specified state. This…

General Relativity and Quantum Cosmology · Physics 2015-06-25 L. Sriramkumar

Building on a model recently proposed by F. Calogero, we postulate the existence of a coherent, long--range universal tremor affecting any stable and confined classical dynamical system. Deriving the characteristic fluctuative unit of…

Quantum Physics · Physics 2015-06-26 Salvatore De Martino , Silvio De Siena , F. Illuminati

We discuss the semiclassical and classical character of the dynamics of a single spin 1/2 coupled to a bath of noninteracting spins 1/2. On the semiclassical level, we extend our previous approach presented in D. Stanek, C. Raas, and G. S.…

Mesoscale and Nanoscale Physics · Physics 2014-08-13 Daniel Stanek , Carsten Raas , Götz S. Uhrig

Semiclassical approximations for quantum dynamic simulations in complex chemical systems range from rigorously accurate methods that are computationally expensive to methods that exhibit near-classical scaling with system size but are…

Chemical Physics · Physics 2022-09-09 Shreyas Malpathak , Matthew S. Church , Nandini Ananth

This note derives the stochastic differential equations and partial differential equation of general hybrid quantum--classical dynamics from the theory of continuous measurement and general (non-Markovian) feedback. The advantage of this…

Quantum Physics · Physics 2024-09-18 Antoine Tilloy

We present several recent results concerning the transition between quantum and classical mechanics, in the situation where the underlying dynamical system has an hyperbolic behaviour. The special role of invariant manifolds will be…

Mathematical Physics · Physics 2009-01-21 Thierry Paul

We address the decay in open chaotic quantum systems and calculate semiclassical corrections to the classical exponential decay. We confirm random matrix predictions and, going beyond, calculate Ehrenfest time effects. To support our…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Daniel Waltner , Martha Gutierrez , Arseni Goussev , Klaus Richter

We derive a "classical-quantum" approximation scheme for a broad class of bipartite quantum systems from fully quantum dynamics. In this approximation, one subsystem evolves via classical equations of motion with quantum corrections, and…

Quantum Physics · Physics 2023-06-05 Viqar Husain , Irfan Javed , Sanjeev S. Seahra , Nomaan X

Generic open quantum systems are notoriously difficult to simulate unless one looks at specific regimes. In contrast, classical dissipative systems can often be effectively described by stochastic processes, which are generally less…

Quantum Physics · Physics 2025-12-02 Charlie R. Hogg , Jonas Glatthard , Federico Cerisola , Janet Anders

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,…

General Relativity and Quantum Cosmology · Physics 2024-01-04 Kallan Berglund , Martin Bojowald , Manuel Diaz , Gianni Sims

The application of a classical approach to various quantum problems - the secular perturbation approach to quantization of a hydrogen atom in external fields and a helium atom, the adiabatic switching method for calculation of a…

Quantum Physics · Physics 2015-05-18 Evgeni A. Solov'ev

We study a general bipartite quantum system consisting of a spin interacting with a bosonic field, with the initial state prepared as the product of a spin coherent state and a canonical coherent state. Our goal is to develop a…

Quantum Physics · Physics 2026-01-23 Matheus V. Scherer , Lea F. Santos , Alexandre D. Ribeiro

We study interaction effects on the orbital magnetism of diffusive mesoscopic quantum systems. By combining many-body perturbation theory with semiclassical techniques, we show that the interaction contribution to the ensemble averaged…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 D. Ullmo , K. Richter , H. U. Baranger , F. von Oppen , R. A. Jalabert

It is often argued that gravity has to be a quantum theory simply because a fundamentally semiclassical approach would necessarily be inconsistent. Here I review recent Newtonian toy models of (stochastic) semiclassical gravity. They…

Quantum Physics · Physics 2020-01-08 Antoine Tilloy

We study quantum particles in interaction with a force-carrying field, in the quasi-classical limit. This limit is characterized by the field having a very large number of excitations (it is therefore macroscopic), while the particles…

Mathematical Physics · Physics 2021-04-22 M. Correggi , M. Falconi , M. Olivieri

We investigate quantum effects in the evolution of general systems. For studying such temporal quantum phenomena, it is paramount to have a rigorous concept and profound understanding of the classical dynamics in such a system in the first…

Quantum Physics · Physics 2020-06-02 J. Sperling , I. A. Walmsley