An Effective Simulation Methodology of Quantum Nanostructures based on Model Order Reduction

A quantum simulation methodology developed previously based on model order reduction is applied to a 2D nanostructure. The approach is derived from proper orthogonal decomposition that projects the nanostructure from its physical domain onto a function space represented by a finite set of POD modes. Numerical solution data of the wave function are collected from the Schrödinger equation to adapt the variation of the energy band induced by electric fields. The POD modes generated from the data are thus able to account for the variation of electric field. Two different models based on different training methods are explored. Their efficacy and accuracy are investigated.