Scattering theory of adiabatic reaction forces due to out-of-equilibrium quantum environments

Mark Thomas, Torsten Karzig, Silvia Viola Kusminskiy, Gergely Zaránd, Felix Von Oppen

Research output: Article

36 Citations (Scopus)


The Landauer-Büttiker theory of mesoscopic conductors was recently extended to nanoelectromechanical systems. In this extension, the adiabatic reaction forces exerted by the electronic degrees of freedom on the mechanical modes were expressed in terms of the electronic S matrix and its first nonadiabatic correction, the A matrix. Here, we provide a more natural and efficient derivation of these results within the setting and solely with the methods of scattering theory. Our derivation is based on a generic model of a slow classical degree of freedom coupled to a quantum-mechanical scattering system, extending previous work on adiabatic reaction forces for closed quantum systems.

Original languageEnglish
Article number195419
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number19
Publication statusPublished - nov. 19 2012

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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