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High-harmonic generation (HHG) is a nonlinear process in which a strong driving field interacts with a material, resulting in the frequency up-conversion of the driver into its high-order harmonics. This process is highly sensitive to the…

Quantum Physics · Physics 2025-07-04 J. Rivera-Dean , P. Stammer , M. F. Ciappina , M. Lewenstein

High-harmonic generation (HHG) in condensed-matter systems is both a source of fundamental insight into quantum electron motion and a promising candidate to realize compact ultraviolet and ultrafast light sources. Here we argue that the…

Mesoscale and Nanoscale Physics · Physics 2017-03-08 Joel D. Cox , Andrea Marini , F. Javier García de Abajo

We propose and experimentally demonstrate a scheme allowing to reach noncollinear phase-matching of high harmonic generation in solids, which may potentially lead to an enhancement of the generation efficiency. The principle is based on…

Optics · Physics 2026-02-24 Pavel Peterka , František Trojánek , Petr Malý , Martin Kozák

High-order harmonic generation (HHG) in solids - the frequency up-conversion of an optical signal - is governed by symmetries. At terahertz (THz) frequencies, HHG is a key technology to access high frequency spectral windows that are…

We present a theoretical study of the influence of resonant enhancement on quantum path dynamics in the generation of harmonics above and below the ionization threshold in helium. By varying the wavelength and intensity of the driving field…

Atomic Physics · Physics 2015-06-23 Seth Camp , Kenneth J. Schafer , Mette B. Gaarde

High-harmonic generation by a highly non-linear interaction of infrared laser fields with matter allows for the generation of attosecond pulses in the XUV spectral regime. This process, well established for atoms, has been recently extended…

The solid-state harmonic generation (SSHG) derives from photocurrent coherence. The crystal symmetry, including point-group symmetry and time-reversal symmetry, constrains the amplitude and phase of the photocurrent, thus manipulates the…

Optics · Physics 2024-01-17 Chen Qian , Shicheng Jiang , Tong Wu , Hongming Weng , Chao Yu , Ruifeng Lu

Light sources based on high-harmonic generation (HHG) underpin ultrafast spectroscopy experiments across a large range of photon energies, spanning from the extreme-ultraviolet to the soft x-ray. To this day their design, implementation and…

Harmonic generation in atoms and molecules has reshaped our understanding of ultrafast phenomena beyond the traditional nonlinear optics and has launched attosecond physics. Harmonics from solids represent a new frontier, where both…

Materials Science · Physics 2021-09-01 G. P. Zhang , Y. H. Bai

The spectra produced by high-harmonic generation (HHG) typically exhibit well-defined peaks at odd integers times the laser frequency. However, in recent investigations of HHG from correlated materials, spectra exhibit signals at noninteger…

Atomic Physics · Physics 2024-06-05 Christian Saugbjerg Lange , Thomas Hansen , Lars Bojer Madsen

High-harmonic generation (HHG) normally requires a careful adjustment of the driving laser intensity (typically $10^{14} - 10^{15}$ W/cm$^2$) and gas medium parameters to enable good phase matching conditions. In contrast with conventional…

High-order harmonic generation (HHG) from molecular ion HeH$^{2+}$ in two initial states of $1s\sigma$ (ground state) and $2p\sigma$ (first excited state) is investigated theoretically, in homogeneous and plasmonic-enhanced laser fields.…

Atomic Physics · Physics 2018-07-04 Nehzat Safaei

High harmonic generation (HHG) in solid and gaseous targets has been proven to be a powerful avenue for the generation of attosecond pulses, whereas the influence of electron-phonon scattering on HHG is a critical outstanding problem. Here…

Optics · Physics 2022-06-02 Tao-Yuan Du , Chao Ma

The study of high-harmonic generation in confined quantum systems is vital to establishing a complete physical picture of harmonic generation from atoms and molecules to bulk solids. Based on a multilevel approach, we demonstrate how…

Mesoscale and Nanoscale Physics · Physics 2023-03-28 Xiao Zhang , Tao Zhu , Hongchuan Du , Hong-Gang Luo , Jeroen van den Brink , Rajyavardhan Ray

We use extreme-ultraviolet interferometry to measure the phase of high-order harmonic generation from transiently aligned CO2 molecules. We unambiguously observe a reversal in phase of the high order harmonic emission for higher harmonic…

Atomic Physics · Physics 2009-11-13 Xibin Zhou , Robynne Lock , Wen Li , Nick Wagner , Margaret. M. Murnane , Henry C. Kapteyn

When an electron is scattered by a tightly-focused laser beam in vacuum, the intensity gradient is a critical factor to influence the electron dynamics, for example, the electron energy exchange with the laser fields as have been explored…

When molecules interact with intense light sources of femtosecond or shorter duration the rotational degrees of freedom are frozen during the response to the strong nonperturbative interaction. We show how the frozen degrees of freedom…

Atomic Physics · Physics 2007-09-25 C. B. Madsen , A. S. Mouritzen , T. K. Kjeldsen , L. B. Madsen

The mechanism underlying high harmonic generation (HHG) in gases has been well clarified, characterizing attosecond pulse trains (APT) in the time domain, significantly advances the synthesis of isolated attosecond pulse (IAP). However, the…

Optics · Physics 2025-07-25 Qing-Guo Fan , Kang Lai , Wen-hao Liu , Zhi Wang , Lin-Wang Wang , Jun-Wei Luo

High-order harmonics are ubiquitous in nature and present in electromagnetic, acoustic, and gravitational waves. They are generated by periodic nonlinear processes or periodic high-frequency pulses. However, this periodicity is often…

Applying the semiclassical model, we identify two connected effects in intraband high-harmonic generation (HHG): (1) propagation time from the point of emission at the source to the point of detection, (2) beyond-electric-dipole corrections…

Atomic Physics · Physics 2024-06-12 Simon Vendelbo Bylling Jensen , Lars Bojer Madsen