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Central Limit Theorem for Locally Interacting Fermi Gas

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Abstract

We consider a locally interacting Fermi gas in its natural non-equilibrium steady state and prove the Quantum Central Limit Theorem (QCLT) for a large class of observables. A special case of our results concerns finitely many free Fermi gas reservoirs coupled by local interactions. The QCLT for flux observables, together with the Green-Kubo formulas and the Onsager reciprocity relations previously established [JOP4], complete the proof of the Fluctuation-Dissipation Theorem and the development of linear response theory for this class of models.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, McGill University, 805 Sherbrooke Street West, Montreal, QC, H3A 2K6, Canada

    V. Jakšić

  2. Laboratoire de Mathématiques d’Orsay, Univ. Paris-Sud, Orsay cedex, F-91405, France

    Y. Pautrat

  3. Centre de Physique Théorique, Université du Sud Toulon-Var, B.P. 20132, 83957, La Garde Cedex, France

    C.-A. Pillet

Authors
  1. V. Jakšić
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  2. Y. Pautrat
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  3. C.-A. Pillet
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Correspondence to Y. Pautrat.

Additional information

Communicated by H.-T. Yau

UMR 6207, CNRS, Université de la Méditerranée, Université de Toulon et Université de Provence.

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Jakšić, V., Pautrat, Y. & Pillet, CA. Central Limit Theorem for Locally Interacting Fermi Gas. Commun. Math. Phys. 285, 175–217 (2009). https://doi.org/10.1007/s00220-008-0610-6

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