# Monochromatic composite right/left handedness achieved in the quantized composite right/left handed transmission line

## TL;DR

This paper demonstrates a novel quantum approach to controlling the refraction index in CRLH transmission lines, enabling monochromatic right/left handedness switching at a fixed frequency through quantum state manipulation.

## Contribution

It introduces a quantum-based method to achieve monochromatic CRLH-TL with controllable handedness, surpassing traditional macro CRLH-TL limitations.

## Key findings

- Refraction index jumps around the squeezed angle  at a single frequency.
- Quantum parameters can manipulate the refraction index.
- Monochromatic CRLH-TL offers new implementation possibilities.

## Abstract

The macro composite right/left handedness (CRLH) accompanies the positive/negative refraction index in the higher, microwave frequency bands in the composite right/left handed transmission line (CRLH-TL), respectively. In this paper, we adjust the refraction index of a quantized CRLH-TL via the squeezed parameters and the electronic components' parameters in the thermal squeezed state, and the refraction index shows the positive/negative jumping around the squeezed angle \(\varphi\)=\(\pi\) when it operates at a single frequency, and the similar result also arises while the refraction index is manipulated by the electronic components' parameters. The monochromatic CRLH achieved here breaks through the original definition in the macro CRLH-TL and provide a new implementation for the CRLH-TL.