Adiabaticity in semiclassical nanoelectromechanical systems

Abstract

We compare the semiclassical description of NEMS within and beyond the adiabatic approximation. We consider a NEMS model which contains a single phonon (oscillator) mode linearly coupled to an electronic few-level system in contact with external particle reservoirs (leads). Using Feynman-Vernon influence functional theory, we derive a Langevin equation for the oscillator trajectory that is non-perturbative in the system-leads coupling. A stationary electronic current through the system generates nontrivial dynamical behavior of the oscillator, even in the adiabatic regime. The 'backaction' of the oscillator onto the current is studied as well. For the two simplest cases of one and two coupled electronic levels, we discuss the differences between the adiabatic and the non-adiabatic regime of the oscillator dynamics.

8 pages, 5 figures

References in corpus (14)

• Circuit cavity electromechanics in the strong coupling regime
• Franck-Condon blockade and giant Fano factors in transport through single molecules
• Franck-Condon blockade in suspended carbon nanotube quantum dots
• Theory of the Franck-Condon blockade regime
• Tunneling in suspended carbon nanotubes assisted by longitudinal phonons
• Kinetic Equations for Transport Through Single-Molecule Transistors
• Scattering theory of current-induced forces in mesoscopic systems
• Distributions of Waiting Times of Dynamic Single-Electron Emitters
• Self-consistent theory of molecular switching
• Full counting statistics of strongly non-Ohmic transport through single molecules
• Semi-classical dynamics of nano-electromechanical systems
• Stochastic dynamics for a single vibrational mode in molecular junctions
• Coherent properties of nano-electromechanical systems
• Scattering approach to backaction in coherent nanoelectromechanical systems

Cited by in corpus (21)

• Current-induced forces in mesoscopic systems: a scattering matrix approach
• Current-induced atomic dynamics, instabilities, and Raman signals: Quasi-classical Langevin equation approach
• Current-induced bond rupture in single-molecule junctions
• Molecular junctions and molecular motors: Including Coulomb repulsion in electronic friction using nonequilibrium Green's functions
• Current-induced atomic motion, structural instabilities, and negative temperatures on molecule-electrode interfaces in electronic junctions
• Phonon dynamics in correlated quantum systems driven away from equilibrium
• Quasi-Lie Brackets and the Breaking of Time-Translation Symmetry for Quantum Systems Embedded in Classical Baths
• Probing nonlinear mechanical effects through electronic currents: the case of a nanomechanical resonator acting as electronic transistor
• Magnetic effects on nonlinear mechanical properties of a suspended carbon nanotube
• Extractable work in quantum electromechanics
• Nonadiabatic Van der Pol oscillations in molecular transport
• Current-induced forces in nanosystems: A hierarchical equations of motion approach
• Emergence of negative viscosities and colored noise under current-driven Ehrenfest molecular dynamics
• First-principles analysis of nanoelectromechanical systems using Loewner equation
• Transient dynamics of an adiabatic NEMS
• Transport through single-level systems: Spin dynamics in the nonadiabatic regime
• Semiclassical spin-spin dynamics and feedback control in transport through a quantum dot
• Dynamics of spin relaxation in nonequilibrium magnetic nanojunctions
• Nonequilibrium dynamics in a spin valve with noncollinear magnetization
• Transport and semiclassical dynamics of coupled quantum dots interacting with a local magnetic moment
• Resonator induced quantum phase transitions in a hybrid Josephson junction