On a thermal cloud—Bose–Einstein condensate coupling system
Department of Mathematics, Southern Methodist University, 75275, Dallas, TX, USA
2 LadHyX, Laboratoire d’hydrodynamique, Ladhyx, Ecole Polytechnique, Palaiseau, France
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