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

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.

26 pages, 2 figures. To appear in JSP

References in corpus (3)

• Feynman cycles in the Bose gas
• The relation between Feynman cycles and off-diagonal long-range order
• C^*-algebraic approach to the Bose-Hubbard model

Cited by in corpus (1)

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