On the Hartree-Fock-Bogoliubov equations

Saturday, 12 May, 2018

Published in: 

arXiv:1805.04689

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.

Author(s): 

Volker Bach
Sébastien Breteaux
Thomas Chen
Jürg Fröhlich
Israel Michael Sigal