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

Thomas, Mark; Karzig, Torsten; Viola-Kusminskiy, Silvia; Zarand, Gergely; von Oppen, Felix

doi:10.1103/PhysRevB.86.195419

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

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Thomas, M., Karzig, T., Viola-Kusminskiy, S., Zarand, G., & von Oppen, F. (2012). Scattering theory of adiabatic reaction forces due to out-of-equilibrium quantum environments. PHYSICAL REVIEW B, 86(19): 195419. doi:10.1103/PhysRevB.86.195419.

Cite as: https://hdl.handle.net/21.11116/0000-0001-DF41-B

Abstract

The Landauer-Buttiker 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.