Generation of Schr\"odinger's cat states in a planar semiconductor heterostructure

TL;DR

This paper proposes a nanodevice in a planar semiconductor heterostructure that creates Schrödinger's cat states by spatially separating electron densities of opposite spins using coherent states of a harmonic oscillator.

Contribution

It introduces a novel nanodevice design and simulation method to generate entangled Schrödinger's cat states in semiconductor heterostructures.

Findings

Successful simulation of the nanodevice model

Demonstration of spatial separation of spin states

Feasibility of creating entangled states in solid-state systems

Abstract

We propose a nanodevice based on a typical planar semiconductor heterostructure with lateral confinement potential created by voltages applied to local electrodes. 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 Schr\"odinger's cat type is created. We performed simulations of a realistic nanodevice model by numerical solving the time-dependent Schr\"odinger's equation together with simultaneous tracking of the controllable confinement potential via solution of the Poisson's equation at every time step.