Universal upper bounds on the Bose-Einstein condensate and the Hubbard star

For N hard-core bosons on an arbitrary lattice with d sites and independent of additional interaction terms we prove that the hard-core constraint itself already enforces a universal upper bound on the Bose-Einstein condensate given by Nmax=(N/d)(d-N+1). This bound can only be attained for one-parti...

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Bibliographic Details
Main Authors: Tennie, F, Vedral, V, Schilling, C
Format: Journal article
Published: American Physical Society 2017