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In this paper, we will consider an $hp$-finite elements discretization of a highly indefinite Helmholtz problem by some dG formulation which is based on the ultra-weak variational formulation by Cessenat and Depr\'{e}s. We will introduce an…

Numerical Analysis · Mathematics 2015-03-17 Stefan Sauter , Jakob Zech

Solid-state high-harmonic generation (HHG) continues to attract a lot of interest. From the theory and simulation standpoint, two issues are still open; The first is the so-called transition-dipole phase problem. It has been recognized that…

Optics · Physics 2022-10-07 Jiahui Gu , Miroslav Kolesik

We establish time-resolved high harmonic generation (tr-HHG) as a powerful spectroscopy for photoinduced dynamics in strongly correlated materials through a detailed investigation of the insulator-to-metal transitions in vanadium dioxide.…

Anomalous high-harmonic generation (HHG) arises in certain solids when irradiated by an intense laser field, as the result of a nonlinear perpendicular current akin to a Hall current. Here, we theoretically characterize the anomalous HHG…

Optics · Physics 2023-05-03 Lun Yue , Mette B. Gaarde

This paper focuses on investigating high-order harmonic generation (HHG) in graphene quantum dots (GQDs) under intense near-infrared laser fields. To model the GQD and its interaction with the laser field, we utilize a mean-field approach.…

Mesoscale and Nanoscale Physics · Physics 2023-09-15 H. K. Avetissian , A. G. Ghazaryan , Kh. V. Sedrakian , G. F. Mkrtchian

Applying time-dependent local density approximation (TDLDA), we study the high-order harmonic generation (HHG) of ethylene subjected to the one-color ($\omega=2.72$ eV) and the two-color ($\omega_1=2.72$ eV and $\omega_2=5.44$ eV)…

Atomic and Molecular Clusters · Physics 2009-03-31 Z. P. Wang , P. M. Dinh , P. -G. Reinhard , E. Suraud , F. S. Zhang

We study high-harmonic generation (HHG) in the one-dimensional Hubbard model in order to understand its relation to elementary excitations as well as the similarities and differences to semiconductors. The simulations are based on the…

Strongly Correlated Electrons · Physics 2021-01-13 Yuta Murakami , Shintaro Takayoshi , Akihisa Koga , Philipp Werner

High harmonic generation (HHG) is an established means of producing coherent, short wavelength, ultrafast pulses from a compact set-up. Table-top high-harmonic sources are increasingly being used to image physical and biological systems…

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

We develop a theoretical framework for high-harmonic generation (HHG) driven by quantum states of light based on a temporal-mode expansion of the electromagnetic field. This approach extends previous single plane-wave mode treatments to…

Quantum Physics · Physics 2025-12-09 Juan M. González-Monge , Johannes Feist

High-harmonic generation (HHG), a typical nonlinear optical effect, has been actively studied in electron systems such as semiconductors and superconductors. As a natural extension, we theoretically study HHG from electric polarization,…

Strongly Correlated Electrons · Physics 2020-03-10 Tatsuhiko N. Ikeda , Masahiro Sato

High-order harmonic generation (HHG) by hydrogenlike atoms/ions in the uniform periodic electric field, formed by the two linearly polarized counterpropagating laser beams of relativistic intensities, is studied. The relativistic quantum…

Atomic Physics · Physics 2011-06-14 H. K. Avetissian , A. G. Markossian , G. F. Mkrtchian

We study the generation of terahertz radiation from atoms and molecules driven by an ultrashort fundamental laser and its second harmonic field by solving time-dependent Schr\"odinger equation (TDSE). The comparisons between one-, two-, and…

We theoretically study high-harmonic generation (HHG) from transition metal elements Mn and Mn$^+$, using full-dimensional, all-electron, first-principles simulations. The HHG spectra calculated with the time-dependent complete-active-space…

Atomic Physics · Physics 2019-06-26 Imam S. Wahyutama , Takeshi Sato , Kenichi L. Ishikawa

Backscattering of delocalized electrons has been recently established [Phys. Rev. A 105, L041101 (2022)] as a mechanism to enhance high-order harmonic generation (HHG) in periodic systems with broken translational symmetry. Here we study…

Atomic Physics · Physics 2022-07-12 Chuan Yu , Ulf Saalmann , Jan M. Rost

Using time-dependent density functional theory, high-harmonic generation (HHG) is studied in one-dimensional structures of sizes from a single nucleus up to hundreds of nuclei. The HHG cutoff is observed to extent linearly with the system…

Atomic Physics · Physics 2018-04-27 Kenneth K. Hansen , Dieter Bauer , Lars Bojer Madsen

We theoretically study the high-harmonic generation (HHG) in one-dimensional spin systems. While in electronic systems the driving by AC electric fields produces radiation from the dynamics of excited charges, we consider here the situation…

Strongly Correlated Electrons · Physics 2019-05-24 Shintaro Takayoshi , Yuta Murakami , Philipp Werner

High-harmonic generation (HHG) is a strong-field phenomenon that is sensitive to the attosecond dynamics of tunnel ionization and coherent transport of electron-hole pairs in solids. While the foundations of solid HHG have been established,…

High-order frequency mixing in graphene using a two-color radiation field consisting of the fundamental and the second harmonic fields of an ultrashort linearly polarized laser pulse is studied. It is shown that the harmonics originated…

Mesoscale and Nanoscale Physics · Physics 2022-05-25 Hamlet K. Avetissian , Garnik F. Mkrtchian , Andreas Knorr

High harmonic generation (HHG) provides a flexible framework for the development of coherent light sources in the extreme-ultraviolet and soft x-ray regimes. However it suffers from low conversion efficiencies as the control of the HHG…

Optics · Physics 2014-09-16 Alberto Castro , Angel Rubio , E. K. U. Gross