08-104 G. Boland, J.V. Pul

Long Cycles in the Infinite-Range-Hopping Bose-Hubbard Model with Hard Cores (121K, LaTeX 2e with 2 EPS Figures) Jun 4, 08

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Abstract. In this paper we study the relation between long cycles and Bose-Condensation in the Infinite range Bose-Hubbard Model with a hard core interaction. We calculate the density of particles on long cycles in the thermodynamic limit and find that the existence of a non-zero long cycle density coincides with the occurrence of Bose-Einstein condensation but this density is not equal to that of the Bose condensate.

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