Mean-field expansion in Bose-Einstein condensates with finite-range interactions
Ralf Sch\"utzhold, Michael Uhlmann, Yan Xu, Uwe R. Fischer
TL;DR
This paper derives a formal mean-field expansion for dilute Bose-Einstein condensates with finite-range, weak interactions, enabling detailed analysis of microscopic interaction effects beyond the s-wave approximation.
Contribution
It provides a systematic derivation of the mean-field expansion for finite-range interactions, allowing exploration of microscopic details' influence on the condensate's behavior.
Findings
Controlled investigation of higher-order corrections
Impact of interaction range on mean-field theory
Extension beyond s-wave scattering approximation
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.
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