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Non-equilibrium Thermodynamics and Conformal Field Theory

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Abstract

We present a model independent, operator algebraic approach to non-equilibrium quantum thermodynamics within the framework of two-dimensional Conformal Field Theory. Two infinite reservoirs in equilibrium at their own temperatures and chemical potentials are put in contact through a defect line, possibly by inserting a probe. As time evolves, the composite system then approaches a non-equilibrium steady state that we describe. In particular, we re-obtain recent formulas of Bernard and Doyon (Ann Henri Poincaré 16:113–161, 2015).

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Leipzig, Brüderstrasse 16, 04103, Leipzig, Germany

    Stefan Hollands

  2. Dipartimento di Matematica, Università di Roma Tor Vergata, Via della Ricerca Scientifica, 1, 00133, Rome, Italy

    Roberto Longo

Authors
  1. Stefan Hollands
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  2. Roberto Longo
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Correspondence to Roberto Longo.

Additional information

Communicated by D. Buchholz, K. Fredenhagen, Y. Kawahigashi

Roberto Longo was supported in part by the ERC Advanced Grant 669240 QUEST “Quantum Algebraic Structures and Models”, PRIN-MIUR, GNAMPA-INdAM and Alexander von Humboldt Foundation.

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Hollands, S., Longo, R. Non-equilibrium Thermodynamics and Conformal Field Theory. Commun. Math. Phys. 357, 43–60 (2018). https://doi.org/10.1007/s00220-017-2938-2

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  • DOI: https://doi.org/10.1007/s00220-017-2938-2

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