Dynamical Generation of Epsilon-Near-Zero Behaviour via Tracking and Feedback Control

TL;DR

This paper introduces a method to dynamically generate broadband epsilon near zero (ENZ) responses in many-body systems using tracking and feedback control, potentially impacting nanoscale optical computation.

Contribution

It derives equations for inducing broadband ENZ behavior through feedback control and confirms these results with numerical simulations on a Fermi-Hubbard model.

Findings

Dynamically generated broadband ENZ response achieved

ENZ response exhibits an inductor-like current-energy relationship

Numerical validation using Fermi-Hubbard model

Abstract

To date, epsilon near zero (ENZ) responses, characterized by an infinite phase velocity, are primarily achieved by applying a monochromatic light source to a tailored metamaterial. Here, we derive the equations for inducing a dynamically generated broadband ENZ response in a large class of many-body systems via tracking and feedback control. We further find that this response leads to a current-energy relationship identical to that of an ideal inductor. Using a Fermi-Hubbard model, we numerically confirm these results which have the potential to advance optical computation on the nanoscale.