Mean-field expansion in Bose-Einstein condensates with finite-range interactions

2005/05/31 by RALF SCHÜTZHOLD, Ralf Schützhold, Michael Uhlmann +5 · 6 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #High-Energy Particle Collisions Research #Physics of Superconductivity and Magnetism #cond-mat.other

paper · pdf · doi:10.1142/s0217979206035631

published as Int. J. Mod. Phys. B 20, 3555 (2006) · 6 pages of RevTex4; extended discussion, added references

arxiv created 2005/10/21 · openalex publication_date 2006/09/30 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We present a formal derivation of the mean-field expansion for dilute Bose-Einstein condensates with two-particle interaction potentials which are weak and finite-range, but otherwise arbitrary. The expansion allows for a controlled investigation of the impact of microscopic interaction details (e.g., the scaling behavior) on the mean-field approach and the induced higher-order corrections beyond the s-wave scattering approximation.

Citations

• Structure of a quantized vortex in boson systems
• Bose-Einstein condensation with magnetic dipole-dipole forces
• Bosons in a Trap: A Rigorous Derivation of the Gross-Pitaevskii Energy Functional

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