On Bose-Einstein condensates in the Thomas-Fermi regime

Dimonte, Daniele und Giacomelli, Emanuela L. (2022): On Bose-Einstein condensates in the Thomas-Fermi regime. In: Mathematical Physics Analysis and Geometry, Bd. 25, Nr. 4

Abstract

We study a system of N trapped bosons in the Thomas-Fermi regime with an interacting pair potential of the form (gN) N3 beta-1V( N-beta x), for some beta is an element of(0, 1/3) and gN diverging as N ->infinity. We prove that there is complete Bose-Einstein condensation at the level of the ground state and, furthermore, that, if beta is an element of (0, 1/6), condensation is preserved by the time evolution.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 1385-0172
• Sprache: Englisch
• DFG: Gefördert durch die Deutsche Forschungsgemeinschaft (DFG) - 491502892