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Statistical Properties of Strongly Correlated Quantum Liquids

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Abstract

Modern microscopic theory is employed to construct a powerful analytical algorithm that permits a clear description of characteristic features of strongly correlated quantum fluids in thermodynamic equilibrium. Using recently developed formal results we uncover an intricate relationship between strongly correlated systems and free quantum gases of appropriately defined constituents. The latter entities are precisely defined renormalized bosons or fermions. They carry all the information contained in the statistical correlations of the strongly interacting many-particle system by virtue of their effective masses. The mass of such a renormalized boson or fermion depends in a specific form on temperature, bulk particle number density of the many-body system, and eventually on momentum. Due to these properties the renormalized bosons and fermions determine in particular the location and nature of the transition to non-normal phases.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität zu Köln, Köln, Germany

    M. L. Ristig

  2. Institut für Theoretische Physik, Johannes-Kepler-Universität, Linz, Austria

    K. A. Gernoth

  3. School of Physics and Astronomy, The University of Manchester, Manchester, UK

    K. A. Gernoth

Authors
  1. M. L. Ristig
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  2. K. A. Gernoth
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Correspondence to K. A. Gernoth.

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Ristig, M.L., Gernoth, K.A. Statistical Properties of Strongly Correlated Quantum Liquids. Found Phys 40, 1253–1262 (2010). https://doi.org/10.1007/s10701-009-9370-1

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  • DOI: https://doi.org/10.1007/s10701-009-9370-1

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