Abstract
We consider mixtures of Bose gases of different species. We prove that in the mean field limit and under suitable conditions on the initial condition, a system composed of two Bose species can be effectively described by a system of coupled Hartree equations. Moreover, we derive quantitative bounds on the rates of convergence of the reduced density matrices in Sobolev trace norms. We treat both the non-relativistic case in the presence of an external magnetic field A Lloc2(3; 3) and the semi-relativistic case.
Original language | English (US) |
---|---|
Article number | 1750022 |
Journal | Reviews in Mathematical Physics |
Volume | 29 |
Issue number | 7 |
DOIs | |
State | Published - Aug 1 2017 |
Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2017 World Scientific Publishing Company.
Keywords
- Mean field limit
- mixtures of Bose-Einstein condensates