2012/08/01 by Benjamin Schlein, Schlein, Benjamin
Computer Science · Mathematics · Physics and Astronomy · #60F05 #81U30 #81V70 #82C10 #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Information and Cryptography #Random Matrices and Applications
paper · pdf · doi:10.48550/arxiv.1208.0185
openalex publication_date 2012/08/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We report on recent results concerning the derivation of effective evolution equations starting from many body quantum dynamics. In particular, we obtain rigorous derivations of nonlinear Hartree equations in the bosonic mean field limit, with precise bounds on the rate of convergence. Moreover, we present a central limit theorem for the fluctuations around the Hartree dynamics.