Wannier quasi-classical approach to high harmonic generation in semiconductors

TL;DR

This paper introduces a Wannier quasi-classical theory for high harmonic generation in semiconductors, providing a clear, intuitive understanding that aligns well with quantum calculations and aids experimental interpretation.

Contribution

The work develops a novel Wannier-based quasi-classical approach that accurately models high harmonic generation, bridging quantum and classical descriptions in condensed matter physics.

Findings

Quantitative agreement with quantum calculations

Provides an intuitive wavepacket propagation picture

Useful for designing high harmonic and attosecond experiments

Abstract

We develop a quasi-classical theory of high harmonic generation in semiconductors based on an interband current that has been transformed from Bloch to Wannier basis. The Wannier quasi-classical approach reveals a complete picture of the mechanisms shaping high harmonic generation, such that quantitative agreement with full quantum calculations is obtained. The intuitive picture revealed by quasi-classical wavepacket propagation will be helpful in the interpretation and design of high harmonic and attosecond experiments. Beyond that, the capacity to quantitatively model quantum dynamics with classical trajectories should prove useful for a wider spectrum of condensed matter research, including coherent control, transport theory, and strong field physics.