https://doi.org/10.1140/epjp/s13360-021-01510-z
Regular Article
On a thermal cloud—Bose–Einstein condensate coupling system
1
Department of Mathematics, Southern Methodist University, 75275, Dallas, TX, USA
2
LadHyX, Laboratoire d’hydrodynamique, Ladhyx, Ecole Polytechnique, Palaiseau, France
Received:
10
March
2021
Accepted:
27
April
2021
Published online:
6
May
2021
Starting with an N body system describing a Bose gas at finite temperatures, we derive a new model that contains a Gross–Pitaevskii equation of motion for the condensate wave function and a quantum Boltzmann equation for the excitations. The model is valid for a wide range of finite temperatures and approaches the standard ZNG model when the temperature of the system T is close to the Bose–Einstein condensate (BEC) transition temperature 
.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021
