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Mathematical Physics

Title: Effective non-linear spinor dynamics in a spin-1 Bose-Einstein condensate

Abstract: We derive from first principles the experimentally observed effective dynamics of a spinor Bose gas initially prepared as a Bose-Einstein condensate and then left free to expand ballistically. In spinor condensates, which represent one of the recent frontiers in the manipulation of ultra-cold atoms, particles interact with a two-body spatial interaction and a spin-spin interaction. The effective dynamics is governed by a system of coupled semi-linear Schr\"odinger equations: we recover this system, in the sense of marginals in the limit of infinitely many particles, with a mean-field re-scaling of the many-body Hamiltonian. When the resulting control of the dynamical persistence of condensation is quantified with the parameters of modern observations, we obtain a bound that remains quite accurate for the whole typical duration of the experiment.
Subjects: Mathematical Physics (math-ph)
Cite as: arXiv:1803.05410 [math-ph]
  (or arXiv:1803.05410v2 [math-ph] for this version)

Submission history

From: Alessandro Olgiati [view email]
[v1] Wed, 14 Mar 2018 17:15:30 GMT (26kb)
[v2] Mon, 19 Mar 2018 17:11:05 GMT (27kb)