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Quantum heat transfer: A Born-Oppenheimer method

Lian-Ao Wu1 and Dvira Segal2

  • 1Department of Theoretical Physics and History of Science, The Basque Country University (EHU/UPV) and IKERBASQUE – Basque Foundation for Science, 48011 Bilbao, Spain
  • 2Chemical Physics Group, Department of Chemistry and Center for Quantum Information and Quantum Control, University of Toronto, 80 St. George Street, Toronto, Ontario, Canada M5S 3H6

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Phys. Rev. E 83, 051114 – Published 12 May, 2011

DOI: https://doi.org/10.1103/PhysRevE.83.051114

Abstract

We develop a Born-Oppenheimer-type formalism for the description of quantum thermal transport across hybrid nanoscale objects. Our formalism is suitable for treating heat transfer in the off-resonant regime, where, e.g., the relevant vibrational modes of the interlocated molecule are high relative to typical bath frequencies, and at low temperatures when tunneling effects dominate. A general expression for the thermal energy current is accomplished in the form of a generalized Landauer formula. In the harmonic limit this expression reduces to the standard Landauer result for heat transfer. In the presence of nonlinearities, multiphonon effects are realized.

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      Phys. Rev. E 83, 051114– Published 12 May, 2011
      • Received 22 September 2010

      ©2011 American Physical Society

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