Classical dynamics of a nanomechanical resonator coupled to a single-electron transistor

2 00 5 Dynamics of a nanomechanical resonator coupled to a superconducting single - electron transistor

We present an analysis of the dynamics of a nanomechanical resonator coupled to a superconducting single electron transistor (SSET) in the vicinity of the Josephson quasiparticle (JQP) and double Josephson quasiparticle (DJQP) resonances. For weak coupling and wide separation of dynamical timescales, we find that for either superconducting resonance the dynamics of the resonator is given by a F...

Quantum master equation descriptions of a nanomechanical resonator coupled to a single-electron transistor

We analyse the quantum dynamics of a nanomechanical resonator coupled to a normal-state single-electron transistor (SET). Starting from a microscopic description of the system, we derive a master equation for the SET island charge and resonator which is valid in the limit of weak electro-mechanical coupling. Using this master equation we show that, apart from brief transients, the resonator alw...

Dynamics of a SQUID ratchet coupled to a nanomechanical resonator

Modeling and Simulation of a Molecular Single-Electron Transistor

In this paper, to understand the concept of coupling, molecule density of states that coupled to the metal electrodes will be explained then, based on this concept, a weak and strong coupling for the molecules attached to the metal electrodes will be described. Capacitance model is used to explore the connection of addition energy with the Electron affinity and the ionization energy of the mole...

Classical to quantum transition of a driven nonlinear nanomechanical resonator

Much experimental effort is invested these days in fabricating nanoelectromechanical systems (NEMS) that are sufficiently small, cold and clean, so as to approach quantum mechanical behavior as their typical quantum energy scale h̄ becomes comparable with that of the ambient thermal energy kBT . Such systems will hopefully enable one to observe the quantum behavior of human-made objects, and te...