Entropy Chaos and Bose-Einstein Condensation
Probability
2015-12-16 v1 Mathematical Physics
math.MP
Abstract
We prove the entropy-chaos property for the system of N undistinguishable interacting diffusions rigorously associated with the ground state of N trapped Bose particles in the Gross-Pitaevskii scaling limit of infinite particles. On the path-space we show that the sequence of probability measures of the one-particle interacting diffusion weakly converges to a limit probability measure, uniquely associated with the minimizer of the Gross-Pitaevskii functional.
Cite
@article{arxiv.1512.04729,
title = {Entropy Chaos and Bose-Einstein Condensation},
author = {Sergio Albeverio and Francesco C. De Vecchi and Stefania Ugolini},
journal= {arXiv preprint arXiv:1512.04729},
year = {2015}
}