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

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

2008-06-04

arxiv.org/abs/0806.0791v1

Physics

Condensed Matter

Statistical Mechanics

26 pages, 2 figures. To appear in JSP

Scientific paper

10.1007/s10955-008-9586-z

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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