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

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dc.contributor.areaMathematicsen_US
dc.contributor.authorMichelangeli, Alessandro
dc.contributor.authorOlgiati, Alessandro
dc.date.accessioned2018-03-23T07:28:27Z
dc.date.available2018-03-23T07:28:27Z
dc.date.issued2018-03
dc.description.abstractWe 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.identifier.urihttps://openscience.sissa.it/handle/1963/35311
dc.language.isoenen_US
dc.miur.area1en_US
dc.relation.firstpage1en_US
dc.relation.ispartofseriesSISSA;12/2018/MATE
dc.relation.lastpage21en_US
dc.subjecteffective non-linear evolution equationsen_US
dc.subjectmany-body quantum dynamicsen_US
dc.subjectspinor Bose-Einstein condensatesen_US
dc.subjectpartial traceen_US
dc.subjectreduced density matrixen_US
dc.subjectmean-field and Gross-Pitaevskii scalingen_US
dc.subjectcubic NLSen_US
dc.subjectcoupled non-linear Schrödinger system.en_US
dc.titleEffective non-linear spinor dynamics in a spin-1 Bose-Einstein condensateen_US
dc.typePreprinten_US
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