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Physics behind the minimum of relative entropy measures for correlations

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Abstract

The relative entropy of a correlated state and an uncorrelated reference state is a reasonable measure for the degree of correlations. A key question is, however, which uncorrelated state to compare to. The relative entropy becomes minimal for the uncorrelated reference state that has the same one-particle density matrix as the correlated state. Hence, this particular measure, coined nonfreeness, is unique and reasonable. We demonstrate that for relevant physical situations, such as finite temperatures or a correlation enhanced orbital splitting, other choices of the uncorrelated state, even educated guesses, overestimate correlations.

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Authors and Affiliations

  1. Institute of Solid State Physics, Vienna University of Technology, 1040, Vienna, Austria

    Karsten Held

  2. Wolfgang Pauli Inst. c/o Fak. Mathematik, Univ. Wien, 1090, Vienna, Austria

    Norbert J. Mauser

Authors
  1. Karsten Held
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  2. Norbert J. Mauser
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Correspondence to Karsten Held.

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Held, K., Mauser, N.J. Physics behind the minimum of relative entropy measures for correlations. Eur. Phys. J. B 86, 328 (2013). https://doi.org/10.1140/epjb/e2013-40424-5

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  • DOI: https://doi.org/10.1140/epjb/e2013-40424-5

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