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Order indices for boson density matrices

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Il Nuovo Cimento B (1971-1996)

Summary

We study low-temperature properties of boson density matrices when macroscopic occupation of quantum energy levels can occur. An important novelty of our approach is the definition of order indices that characterize the behaviour of largest eigenvalues of density matrices in the thermodynamic limit. Continuous variation of the order indices gives rise to a whole spectrum of possible order types: long-range order, mid-range order and short-range order. A relation between order indices is found. As an illustration of the general scheme a new model exemplifying mid-range order is constructed.

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Author notes

  1. V. I. Yukalov

    Present address: Joint Institute for Nuclear Research, Dubna, USSR

Authors and Affiliations

  1. Department of Mathematics and Statistics, Queen’s University, K7L 3N6, Kingston, Canada

    A. J. Coleman & V. I. Yukalov

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  1. A. J. Coleman
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  2. V. I. Yukalov
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Coleman, A.J., Yukalov, V.I. Order indices for boson density matrices. Nuov Cim B 107, 535–552 (1992). https://doi.org/10.1007/BF02723631

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