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

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dc.contributor.author Michelangeli, Alessandro
dc.contributor.author Olgiati, Alessandro
dc.date.accessioned 2018-03-23T07:28:27Z
dc.date.available 2018-03-23T07:28:27Z
dc.date.issued 2018-03
dc.identifier.uri http://preprints.sissa.it/xmlui/handle/1963/35311
dc.description.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 well-known to be governed by a system of coupled semi-linear Schrödinger 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 manybody 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. en_US
dc.language.iso en en_US
dc.relation.ispartofseries SISSA;12/2018/MATE
dc.subject effective non-linear evolution equations en_US
dc.subject many-body quantum dynamics en_US
dc.subject spinor Bose-Einstein condensates en_US
dc.subject partial trace en_US
dc.subject reduced density matrix en_US
dc.subject mean-field and Gross-Pitaevskii scaling en_US
dc.subject cubic NLS en_US
dc.subject coupled non-linear Schrödinger system. en_US
dc.title Effective non-linear spinor dynamics in a spin-1 Bose-Einstein condensate en_US
dc.type Preprint en_US
dc.miur.area 1 en_US
dc.contributor.area Mathematics en_US
dc.relation.firstpage 1 en_US
dc.relation.lastpage 21 en_US


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