# Scaling law of high harmonic generation in the framework of photon channel

## TL;DR

This paper introduces a photon channel framework for high harmonic generation, revealing a simple scaling law for channel contributions and explaining experimental and simulation results effectively.

## Contribution

It proposes a novel photon channel perspective for HHG, deriving a scaling law and interpreting channel competition, validated by simulations and experiments.

## Key findings

- HHG yield expressed as sum over photon channels
- Channel contributions follow a simple scaling law
- Good agreement with experimental and simulation data

## Abstract

Photon channel perspective on high harmonic generation (HHG) is proposed by quantizing both the driving laser and high harmonics. It is shown that the HHG yield can be expressed as a sum of the contribution of all the photon channels. From this perspective, the contribution of a specific photon channel follows a simple scaling law and the competition between the channels is well interpreted. Our prediction is shown to be in good agreement with the simulations by solving the time-dependent Schrodinger equation. It also can well explains the experimental results of the HHG in the noncollinear two-color field and bicicular laser field.