Time-dependent quantum transport in a resonant tunnel junction coupled to a nanomechanical oscillator

Abstract

We present a theoretical study of time-dependent quantum transport in a resonant tunnel junction coupled to a nanomechanical oscillator within the non-equilibrium Green's function technique. An arbitrary voltage is applied to the tunnel junction and electrons in the leads are considered to be at zero temperature. The transient and the steady state behavior of the system is considered here in order to explore the quantum dynamics of the oscillator as a function of time. The properties of the phonon distribution of the nanomechnical oscillator strongly coupled to the electrons on the dot are investigated using a non-perturbative approach. We consider both the energy transferred from the electrons to the oscillator and the Fano factor as a function of time. We discuss the quantum dynamics of the nanomechanical oscillator in terms of pure and mixed states. We have found a significant difference between a quantum and a classical oscillator. In particular, the energy of a classical oscillator will always be dissipated by the electrons whereas the quantum oscillator remains in an excited state. This will provide useful insight for the design of experiments aimed at studying the quantum behavior of an oscillator.

24 pages, 10 figures

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• Transient heat generation in a quantum dot under a step-like pulse bias
• Magnetic-field influenced non-equilibrium transport through a quantum ring with correlated electrons in a photon cavity
• Interplay between electron-electron and electron-vibration interactions on the thermoelectric properties of molecular junctions
• Nanomechanical effects in an Andreev quantum dot
• Transient currents of a single molecular junction with a vibrational mode
• Transient dynamics of an adiabatic NEMS
• Charge and heat transport of soft nanosystems in the presence of time-dependent perturbations
• Phonon effects on the current noise spectra and the ac conductance of a single molecular junction