Quantum Algorithm for Modeling Confinement in Nanostructures

Author's Department

Physics Department

Second Author's Department

Physics Department

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https://doi.org/10.1117/12.3044859

All Authors

Mustafa M. El-Boghdady Mohamed A. Swillam

Document Type

Research Article

Publication Title

Proceedings of SPIE the International Society for Optical Engineering

Publication Date

1-1-2025

doi

10.1117/12.3044859

Abstract

In this study, we introduce a quantum algorithm designed to simulate light wave propagation in nanostructures, adapting the Split-Step Fourier Method (SSFM). This advanced algorithm employs a sequence of Fourier transformation, time evolution through a phase shift in Fourier space, followed by an inverse quantum Fourier transform. A key feature in our approach is the precise mode extraction technique, which utilizes a method to project the solution onto different wave functions corresponding to various modes, and then subtracts previously converged modes using their respective coefficients. This allows for accurate analysis and characterization of modes within diverse nanostructural environments. We first validate this method using a one-dimensional model with a square potential and square excitation, then expand our analysis to a two-dimensional model suitable for optical nanostructures.

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