# Superradiance in Quantum Vacuum

## Abstract

**:**

## 1. Introduction

## 2. QED Vacuum

## 3. Incident Field

## 4. Secondary Field

## 5. Superradiant Scattering

## 6. Conclusions

## Funding

## Conflicts of Interest

## References

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**Figure 1.**Geometry of the interaction: collision of an intense pulse with frequency ${\omega}_{0}$ with an intense high-harmonic pulse with frequencies ${\omega}_{n}=n{\omega}_{1}$. The intensity profiles of the two interacting pulses are represented, as well as the direction of their respective wavevectors. Nonlinear vacuum leads to the occurrence of a scattered signal with frequency $\omega $.

**Figure 2.**Electric field spikes due to a superposition of a large number of ${N}^{\prime}$ harmonics, as determined by Equation (16).

**Figure 3.**Scattered intensity as a function of the number of high harmonic field spikes N are represented, in arbitrary units, for different conditions of the inter-spike phase difference $\theta $: (

**a**) Intensity as a function of $\theta $, for three different numbers of field spikes; (

**b**) Intensity as a function of N for three different phase differences. Superradiance occurs for $\theta =2\pi $, and subradiance for $\theta =\pi $.

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**MDPI and ACS Style**

Mendonça, J.T. Superradiance in Quantum Vacuum. *Quantum Rep.* **2021**, *3*, 42-52.
https://doi.org/10.3390/quantum3010003

**AMA Style**

Mendonça JT. Superradiance in Quantum Vacuum. *Quantum Reports*. 2021; 3(1):42-52.
https://doi.org/10.3390/quantum3010003

**Chicago/Turabian Style**

Mendonça, José Tito. 2021. "Superradiance in Quantum Vacuum" *Quantum Reports* 3, no. 1: 42-52.
https://doi.org/10.3390/quantum3010003