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arXiv:0806.0791 · Journal of Statistical Physics

Long Cycles in the Infinite-Range-Hopping Bose-Hubbard Model with Hard Cores

G. Boland, J. V. Pulé

Published Jul 2, 2008• 5 citations

DOI: 10.1007/s10955-008-9586-z

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Long Cycles in the Infinite-Range-Hopping Bose-Hubbard Model with Hard Cores

G. Boland, Joseph V. Pulé

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.

•Jan 1, 2008•6 citations