Abstract

We investigate a system of an array of N simple harmonic oscillators (SHO) interacting with photons through QED interaction. As the energy of photon is around the spacing between SHO energy levels, energy gaps appear in the dispersion relation of the interacted (dressed) photons. This is quite different from the dispersion relation of free photons. Due to interactions between dressed photonic field and arrayed SHO, the photoresistance of this system shows oscillations and also drops to zero as irradiated by EM field of varying frequencies.

Highlights

  • Within the last 20 years, a growing number of researches have been conducted to explore interactions between atoms and photonic field[1,2,3,4,5] for the purpose of investigating fundamental physics, and practical applications

  • We consider a model of a pure system of N simple harmonic oscillators (SHO) on a linear lattice (x-direction) interacting with a quantized EM

  • We studied the system of a linear array of N SHO interacting with a photonic field via quantum electrodynamical (QED) interaction

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Summary

Introduction

Within the last 20 years, a growing number of researches have been conducted to explore interactions between atoms and photonic field[1,2,3,4,5] for the purpose of investigating fundamental physics, and practical applications Since their discoveries around 20021,2, the phenomena of microwave-induced zero resistance (MIZR), and microwave-induced resistance oscillation (MIRO) in two-dimensional electron gas (2DEG) have attracted the interests of many scientists. Many theories have been proposed for the MIZR and MIRO in 2DEG6,20–55,56 Among these researches, the displacement model of the photon assisted impurity and phonon scatterings has been studied in many works, and several accomplishments have been achieved in these theories. It can be exhibited that MIZR & MIRO can occur due to quantum electrodynamical (QED) interaction between photonic field and arrayed SHO. Photonic dispersion relation and Bloch’s wave function for photons are shown in the Methods section

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