Generation of Schrödinger cat type states in a planar semiconductor heterostructure

摘要

We propose a nanodevice based on a typical planar semiconductor heterostructure with lateral confinement potential created by voltages applied to local gates. We show how to obtain near parabolical confinement along the nanodevice, and how to use coherent states of the harmonic oscillator for spatial separation of electron densities corresponding to opposite spin directions. In such a way, an entangled state of Schrödinger's cat type is created. We have performed simulations of a realistic nanodevice model by numerically solving the time-dependent Schrödinger equation together with simultaneous tracking of the controllable confinement potential via solution of the Poisson's equation at every time step.