Ground state energy of a homogeneous Bose-Einstein condensate beyond Bogoliubov

Details Ground state energy of a homogeneous Bose-Einstein condensate beyond Bogoliubov Ground state energy of a homogeneous Bose-Einstein condensate beyond Bogoliubov

2004-08-02

arxiv.org/abs/cond-mat/0408023v1

Europhys. Lett. 68, 8 (2004)

Physics

Condensed Matter

Statistical Mechanics

6 pages, accepted for publication in Europhys. Lett. http://www.epletters.ch/

Scientific paper

10.1209/epl/i2004-10169-6

The standard calculations of the ground-state energy of a homogeneous Bose gas rely on approximations which are physically reasonable but difficult to control. Lieb and Yngvason [Phys. Rev. Lett. 80, 2504 (1998)] have proved rigorously that the commonly accepted leading order term of the ground state energy is correct in the zero-density-limit. Here, strong indications are given that also the next to leading term is correct. It is shown that the first terms obtained in a perturbative treatment provide contributions which are lost in the Bogoliubov approach.

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