Leonid Gorelik, Nanomechanical two-dimensional cat states generated by a dc voltage-driven Cooper..
Title: Nanomechanical two-dimensional cat states generated by a dc voltage-driven Cooper pair box
Abstract: We suggest a two-dimensional nanoelectromechanical setup that generates a particular type of mechanical state – the superposition of two coherent 2D-states with opposite angular momentum. The setup is based on a mesoscopic terminal utilizing the ac Josephson effect between the superconducting electrodes and the grain, operating in the regime of the Cooper pair box controlled by the gate voltage. The grain is placed on the free end of the suspended cantilever, performing controlled two-dimensional mechanical vibrations. The required functionality is achieved by operating two external parameters, bias voltage between the superconducting electrodes and voltage between gate electrodes, by which the nanomechanical coherent states are formed and organized in a pair of entangled cat-states in two perpendicular spatial directions, which evolve in time in the way to provide a circular motion.