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

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

Research output: Contribution to journalArticle

32 Citations (Scopus)

Abstract

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
Volume86
Issue number19
DOIs
Publication statusPublished - Nov 19 2012

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derivation
degrees of freedom
Scattering
NEMS
matrices
scattering
electronics
conductors

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

Scattering theory of adiabatic reaction forces due to out-of-equilibrium quantum environments. / Thomas, Mark; Karzig, Torsten; Kusminskiy, Silvia Viola; Zaránd, G.; Von Oppen, Felix.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 86, No. 19, 195419, 19.11.2012.

Research output: Contribution to journalArticle

Thomas, Mark ; Karzig, Torsten ; Kusminskiy, Silvia Viola ; Zaránd, G. ; Von Oppen, Felix. / Scattering theory of adiabatic reaction forces due to out-of-equilibrium quantum environments. In: Physical Review B - Condensed Matter and Materials Physics. 2012 ; Vol. 86, No. 19.
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