Examples of bosonic de Finetti states over finite dimensional Hilbert spaces

Details Examples of bosonic de Finetti states over finite dimensional Hilbert spaces Examples of bosonic de Finetti states over finite dimensional Hilbert spaces

2005-06-14

arxiv.org/abs/quant-ph/0506111v2

Journal of Statistical Physics, 12: 497 - 509 (2005)

Physics

Quantum Physics

corrected version

Scientific paper

10.1007/s10955-005-7005-2

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.

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