A solvable model of a generic trapped bosonic mixture, N 1 bosons of mass m 1 and N 2 bosons of mass m 2 trapped in an harmonic potential of frequency ω and interacting by harmonic inter-particle interactions of strengths λ 1, λ 2, and λ 12, is discussed. It has recently been shown for the ground state [J. Phys. A 50, 295002 (2017)] that in the infinite-particle limit, when the interaction parameters λ 1(N 1 - 1), λ 2(N 2 - 1), λ 12 N 1, λ 12 N 2 are held fixed, each of the species is 100% condensed and its density per particle as well as the total energy per particle are given by the solution of the coupled Gross-Pitaevskii equations of the mixture. In the present work we investigate properties of the trapped generic mixture at the infinite-particle limit, and find differences between the many-body and mean-field descriptions of the mixture, despite each species being 100%. We compute analytically and analyze, both for the mixture and for each species, the center-of-mass position and momentum variances, their uncertainty product, the angular-momentum variance, as well as the overlap of the exact and Gross-Pitaevskii wavefunctions of the mixture. The results obtained in this work can be considered as a step forward in characterizing how important are many-body effects in a fully condensed trapped bosonic mixture at the infinite-particle limit.
|Number of pages||12|
|Journal||Journal of Physics: Conference Series|
|State||Published - 5 Apr 2018|
|Event||26th Annual International Laser Physics Workshop, LPHYS 2017 - Kazan, Russian Federation|
Duration: 17 Jul 2017 → 21 Jul 2017
Bibliographical noteFunding Information:
This research was supported by the Israel Science Foundation (Grant No. 600/15). We thank Kaspar Sakmann and Lorenz Cederbaum for discussions. OEA is grateful to the continuous hospitality of the Lewiner Institute for Theoretical Physics (LITP) at the Department of Physics, Technion.
© Published under licence by IOP Publishing Ltd.
ASJC Scopus subject areas
- Physics and Astronomy (all)