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

2004/08/02 by Christoph Weiss, C Weiss, André Eckardt +1 · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum, superfluid, helium dynamics #cond-mat.stat-mech

paper · pdf · doi:10.1209/epl/i2004-10169-6

published as Europhys. Lett. 68, 8 (2004) · 6 pages, accepted for publication in Europhys. Lett. http://www.epletters.ch/

arxiv created 2004/08/02 · openalex publication_date 2004/09/22 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

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 (1998) 2504) 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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