GP healing length: ξ = 1/√(8π n a_s) (kinetic ≡ interaction)

Layer 1 — Physicsin the ultracold-atoms subtree

Healing length ξ is the lengthscale at which the kinetic energy ℏ²/(2mξ²) of a condensate density modulation equals the mean-field interaction energy n·g = n·4πℏ²a_s/m. Solving gives ξ = ℏ/√(2mng) = 1/√(8πna_s). Physical interpretation:…

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