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

Abstract

The Landauer-Buettiker 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 non-adiabatic 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.

arXiv commentMinor typos fixed, published version

References in corpus (26)

• Artificial gauge potentials for neutral atoms
• Enhanced Gilbert Damping in Thin Ferromagnetic Films
• Spin Transfer Torques
• Scattering approach to parametric pumping
• Molecular Transport Junctions: Vibrational Effects
• Strong coupling between single-electron tunneling and nano-mechanical motion
• Dictionary between scattering matrix and Keldysh formalisms for quantum transport driven by time-periodic fields
• Adiabatic transport in nanostructures
• Charge Pumping and Photovoltaic effect in Open Quantum Dots
• Scattering theory of current-induced forces in mesoscopic systems
• Current-induced forces in mesoscopic systems: a scattering matrix approach
• Current-induced atomic dynamics, instabilities, and Raman signals: Quasi-classical Langevin equation approach
• Adiabatic quantum pump in the presence of external ac voltages
• Quantum nano-electromechanics with electrons, quasiparticles and Cooper pairs: effective bath descriptions and strong feedback effects
• Self-consistent theory of molecular switching
• Laser-like vibrational instability in rectifying molecular conductors
• Magnetization Dissipation in Ferromagnets from Scattering Theory
• Semi-classical dynamics of nano-electromechanical systems
• Current-induced switching in transport through anisotropic magnetic molecules
• Dynamics and Dissipation induced by Single-Electron Tunneling in Carbon Nanotube Nanoelectromechanical Systems
• Magnetic field symmetry of pump currents of adiabatically driven mesoscopic structures
• Theory of the spin-torque-driven ferromagnetic resonance in a ferromagnet/normal-metal/ferromagnet structure
• Geometric magnetism in open quantum systems
• Scattering approach to backaction in coherent nanoelectromechanical systems
• Berry's Phase in the Presence of a Stochastically Evolving Environment: A Geometric Mechanism for Energy-Level Broadening
• Quantum theory of electromechanical noise and momentum transfer statistics

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