Mean field limit for many-particle interactions
read the original abstract
We provide an error bound for approximating the time evolution of N bosons by a generalized nonlinear Hartree equation. The bosons are assumed to interact via permutation symmetric bounded many-particle potentials and the initial wave-function is a product state. We show that the error between the actual evolution of a single particle derived from tracing out the full N-particle Schrodinger equation and the solution to the mean field approximate generalized nonlinear Hartree equation scales as 1/N for all times. Our result is a generalization of rigorous error bounds previously given for the case of bounded 2-particle potentials
This paper has not been read by Pith yet.
Forward citations
Cited by 1 Pith paper
-
From spin squeezing to fast state discrimination
In the large-N limit, spin squeezing torsion yields a nonlinear qubit governed by the two-state Gross-Pitaevskii equation that solves single-input state discrimination on the Bloch sphere.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.