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Mean-field quantum dynamics for a mixture of Bose–Einstein condensates

TitleMean-field quantum dynamics for a mixture of Bose–Einstein condensates
Publication TypeJournal Article
Year of Publication2017
AuthorsMichelangeli, A, Olgiati, A
JournalAnalysis and Mathematical Physics
Volume7
Pagination377–416
Date PublishedDec
ISSN1664-235X
Abstract

We study the effective time evolution of a large quantum system consisting of a mixture of different species of identical bosons in interaction. If the system is initially prepared so as to exhibit condensation in each component, we prove that condensation persists at later times and we show quantitatively that the many-body Schrödinger dynamics is effectively described by a system of coupled cubic non-linear Schrödinger equations, one for each component.

URLhttps://doi.org/10.1007/s13324-016-0147-3
DOI10.1007/s13324-016-0147-3

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