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Microscopic mechanisms of high-order wave mixing in solids

David N. Purschke1,*, Álvaro Jiménez-Galán1,2,†, Thomas Brabec3, Andrei Yu. Naumov1, André Staudte1, David M. Villeneuve1, and Giulio Vampa1

  • 1Joint Attosecond Science Laboratory, National Research Council of Canada and University of Ottawa, Ottawa, Ontario, Canada K1A 0R6
  • 2Max Born Institute, Berlin D-12489, Germany
  • 3Department of Physics, University of Ottawa, Ottawa, Ontario, K1N 6N5, Canada

  • *dpurschk@uottawa.ca
  • †Present address: Instituto de Ciencia de Materiales de Madrid, C. Sor Juana Inés de la Cruz 3, 28049 Madrid.

Phys. Rev. A 108, L051103 – Published 20 November, 2023

DOI: https://doi.org/10.1103/PhysRevA.108.L051103

Abstract

The gas-phase technique of noncollinear two-color excitation is adapted to study extreme-ultraviolet high-order harmonic generation (HHG) in magnesium oxide. We observe high-order wave-mixing pathways with brightness comparable to that of the single-color HHG. Simulations reveal that the efficiencies are dominated by the microscopic physics as opposed to macroscopic effects. Building on previous work, we develop a general analytic theory of high-order wave mixing that explains our observations and demonstrates how a perturbative nonlinear optical framework emerges form the interaction between the weak field and the laser-dressed state of the crystal in the strong-field approximation. The theory outlines a photon-mixing picture of high-order wave mixing and connects the strong asymmetry between sum- and difference-frequency pathways to the cutoff in the HHG spectrum. Our work establishes the potential of high-order wave mixing as a probe of the microscopic attosecond physics in solids and points to new opportunities in solid-state strong-field photonics.

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