Quasi-Classical Dynamics

2019/09/29 by Michele Correggi, Marco Falconi, Correggi, M. +3 · 2 citations
Physics and Astronomy · Computer Science · #Quantum Mechanics and Applications #Quantum Information and Cryptography #Advanced Thermodynamics and Statistical Mechanics

paper · pdf · doi:10.48550/arxiv.1909.13313

Abstract

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 retain their quantum nature. We prove that the interacting microscopic dynamics converges, in the quasi-classical limit, to an effective dynamics where the field acts as a classical environment that drives the quantum particles.

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• Wigner measure approach to the derivation of the Landau-Pekar equations in the mean-field limit

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