期刊
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE IV PHYSIQUE ASTROPHYSIQUE
卷 2, 期 3, 页码 419-443出版社
ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
DOI: 10.1016/S1296-2147(01)01183-0
关键词
Bose-Einstein condensates; broken symmetry; one-dimensional systems; interacting spins; Bethe ansatz; solitons
We consider two models of interacting Bose gases: a gas of spin one particles in the ground state of a cubic box and a one-dimensional Bose gas with contact interactions. We show how to calculate exact eigenstates of the corresponding N-body Hamiltonians. Both models share the property of not leading to the formation of a Bose-Einstein condensate, even at zero temperature, in the strict sense of the existence of a single one-particle state with a macroscopic population. We show that a lot of physical insight can be gained on these two model systems by using the usual Hartree-Fock mean field approach: in this approximation. that we test against the exact result. everything happens as if a single realization of the system was a Bose-Einstein condensate in a state phi breaking the rotational or translational symmetry, and varying in a random way for any new experimental realization. (C) 2001 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.
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