Dephasing of electrons in the Aharonov-Bohm interferometer with a single-molecular vibrational junction

Abstract

Phase relaxation of electrons transferring through an electromechanical transistor is studied using the Aharonov-Bohm interferometer. With the approach of quantum master equation, the phase properties of an electron are numerically analyzed based on the interference fringes. Coherence of electron is partially destroyed by its scattering on excited levels of the local nanomechanical oscillator. Transmission amplitudes with respect to two adjacent mechanical vibrational levels have a phase difference of $\pi$. The character of phase shift by $\pi$ depends on the oscillator frequency only and is robust for the wide range variance of the applied voltage, tunneling length and damping rate of the mechanical oscillator.

9 pages, 5 figures

References in corpus (11)

• Franck-Condon blockade and giant Fano factors in transport through single molecules
• Shot Noise of a Quantum Shuttle
• Phonon-induced decoherence for a quantum dot spin qubit operated by Raman passage
• Resonant tunneling and Fano resonance in quantum dots with electron-phonon interaction
• Anomalous suppression of the shot noise in a nanoelectromechanical system
• Two-spin dephasing by electron-phonon interaction in semiconductor double quantum dots
• Phonon-mediated decoherence in triple quantum dot interferometers
• Spin-detection in a quantum electromechanical shuttle system
• Controlled dephasing in single-dot Aharonov-Bohm interferometers
• Charge Detection in a Closed-Loop Aharonov-Bohm Interferometer
• Phonon-assisted decoherence and tunneling in quantum dot molecules

Cited by in corpus (4)

• Stochastic thermodynamics of self-oscillations: the electron shuttle
• Dissipative nonequilibrium synchronization of topological edge states via self-oscillation
• Proposal of a realistic stochastic rotor engine based on electron shuttling
• Photovoltaic transistor of atoms due to spin-orbit coupling in three optical traps