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Название: Examples of Bosonic de Finetti States over Finite Dimensional Hilbert Spaces
Автор: Gottlieb A.D.
Journal of Statistical Physics, Vol. 121, Nos. 3/4, November 2005. p. 497-509.
According to the Quantum de Finetti Theorem, locally normal infinite particle states with Bose-Einstein symmetry can be represented as mixtures of infinite tensor powers of vector states. This note presents examples of infinite-particle states with Bose-Einstein symmetry that arise as limits of Gibbs ensembles on finite dimensional spaces, and displays their de Finetti representations. We consider Gibbs ensembles for systems of bosons in a finite dimensional setting and discover limits as the number of particles tends to infinity, provided the temperature is scaled in proportion to particle number.