Solving a nonlinear analytical model for bosonic equilibration

• Verfasst von: Rasch, Niklas [VerfasserIn]
• Verfasst von: Wolschin, Georg [VerfasserIn]
• Titel: Solving a nonlinear analytical model for bosonic equilibration
• Verf.angabe: N. Rasch, G. Wolschin
• Jahr: 2020
• Jahr des Originals: 2019
• Fussnoten: Published online: 18 December 2019 ; Gesehen am 07.05.2020
• Titel Quelle: Enthalten in: Physics open
• Ort Quelle: Amsterdam : Elsevier, 2020
• Jahr Quelle: 2020
• Band/Heft Quelle: 2(2020) Artikel-Nummer 100013, 11 Seiten
• ISSN Quelle: 2666-0326
• DOI: doi:10.1016/j.physo.2019.100013
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: Equilibration of cold atomic gases
• Sach-SW: Exact solution of nonlinear equation
• Sach-SW: Nonlinear bosonic diffusion equation
• K10plus-PPN: 1697701140
• K10plus-PPN:
  Universitätsbibliothek
• Lokale URL UB: Zum Volltext

Abstract

An integrable nonlinear model for the time-dependent equilibration of a bosonic system that has been devised earlier is solved exactly with boundary conditions that are appropriate for a truncated Bose-Einstein distribution, and include the singularity at ε=μ. The buildup of a thermal tail during evaporative cooling, as well as the transition to the condensed state are accounted for. To enforce particle-number conservation during the cooling process with an energy-dependent density of states for a three-dimensional thermal cloud, a time-dependent chemical potential is introduced.