Manipulating quasi-bound states in a photonic crystal with periodic impurities to store quantum information

TL;DR

This paper presents an analytical model of a 1D photonic crystal with periodic impurities, demonstrating how to manipulate bound states in the continuum to potentially store quantum information.

Contribution

It introduces a first-principles analytical approach to control quasi-bound states in photonic crystals with multiple impurities for quantum information storage.

Findings

More impurities widen the trapping wavenumber range.

Perturbative analysis confirms the trapping mechanism.

Quantum information can be encoded in shaped wave packets.

Abstract

We analytically model a one-dimensional lattice with periodic impurities representing a photonic crystal from first principles. We then investigate bound states in the continuum by computing the transmission and reflection coefficients. It turns out that when there are more impurities in our designed system then there exists a wider range of wavenumber where particles become essentially trapped. A perturbative-based explanation is shown to verify this phenomenon quantitatively. Due to this window of wavenumbers quantum information could be encoded in our system by constructing differently shaped wave packets that are bound by the tuning of parameters in our system.