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Reduced density matrices and Bose-Einstein condensation

Show simple item record Michelangeli, Alessandro en_US 2007-08-07T12:22:31Z en_US 2011-09-07T20:26:27Z 2007-08-07T12:22:31Z en_US 2011-09-07T20:26:27Z 2007-08-07T12:22:31Z en_US
dc.identifier.uri en_US
dc.description.abstract Emergence and applications of the ubiquitous tool of reduced density matrices in the rigorous analysis of Bose Einstein condensation is reviewed, and new related results are added. The need and the nature of scaling limits of infinitely many particles is discussed, which imposes that a physically meaningful and mathematically well-posed definition of asymptotic condensation is placed at the level of marginals. The topic of correlations in the condensed state is addressed in order to show their influence at this level of marginals, both in the true condensed state and in the suitable trial functions one introduces to approximate the many-body structure and energy. Complete condensation is shown to be equivalently defined at any fixed k-body level, both for pure and mixed states. Further, it is proven to be equivalent to some other characterizations in terms of asymptotic factorization of the many-body state, which are currently present in the literature. en_US
dc.format.extent 563889 bytes en_US
dc.format.mimetype application/pdf en_US
dc.language.iso en_US en_US
dc.relation.ispartofseries SISSA;39/2007/MP en_US
dc.title Reduced density matrices and Bose-Einstein condensation en_US
dc.type Preprint en_US
dc.contributor.department Mathematical Physics en_US
dc.contributor.area Mathematics en_US

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