On the Hartree-Fock-Bogoliubov equations
Mathematical Physics
2018-05-15 v1 math.MP
Abstract
We review some results of our paper arXiv:1602.05171v2 on the "nonlinear quasifree approximation" to the many-body Schr\"odinger dynamics of Bose gases. In that paper, we derive, with the help of this approximation, the time-dependent Hartree-Fock-Bogoliubov (HFB) equations, providing an approximate description of the dynamics of quantum fluctuations around a Bose-Einstein condensate and study properties of these equations.
Cite
@article{arxiv.1805.04689,
title = {On the Hartree-Fock-Bogoliubov equations},
author = {Volker Bach and Sébastien Breteaux and Thomas Chen and Jürg Fröhlich and Israel Michael Sigal},
journal= {arXiv preprint arXiv:1805.04689},
year = {2018}
}