Mean field approximation of many-body quantum dynamics for Bosons in a discrete numerical model

2015/08/03 by Boris Pawilowski, Pawilowski, Boris
Physics and Astronomy · #Analysis of PDEs (math.AP) #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1508.00452

openalex publication_date 2015/08/03 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The mean field approximation is numerically validated in the bosonic case by considering the time evolution of quantum states and their associated reduced density matrices by many-body Schrödinger dynamics. The model phase-space is finite-dimensional. The results are illustrated with numerical simulations of the evolution of quantum states according to the time, the number of the particles, and the dimension of the phase-space.

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