On Bose-Einstein condensates in the Thomas-Fermi regime

Dimonte, Daniele and Giacomelli, Emanuela L. (2022): On Bose-Einstein condensates in the Thomas-Fermi regime. In: Mathematical Physics Analysis and Geometry, Vol. 25, No. 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.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 1385-0172
• Language: English
• DFG: Gefördert durch die Deutsche Forschungsgemeinschaft (DFG) - 491502892