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.
On Bose-Einstein condensates in the Thomas-Fermi regime / D. Dimonte, E. Giacomelli. - In: MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY. - ISSN 1385-0172. - 25:4(2022), pp. 25.1-25.44. [10.1007/s11040-022-09439-0]
On Bose-Einstein condensates in the Thomas-Fermi regime
E. Giacomelli
Ultimo
2022
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.
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