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

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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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Authors and Affiliations

  1. School of Mathematical Sciences, University College Dublin, Belfield, Dublin 4, Ireland

    G. Boland & J. V. Pulé

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  1. G. Boland
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  2. J. V. Pulé
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Correspondence to G. Boland.

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Boland, G., Pulé, J.V. Long Cycles in the Infinite-Range-Hopping Bose-Hubbard Model with Hard Cores. J Stat Phys 132, 881–905 (2008). https://doi.org/10.1007/s10955-008-9586-z

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  • DOI: https://doi.org/10.1007/s10955-008-9586-z

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