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The use of energy conservation arguments is ubiquitous in understanding the process of high harmonic generation, yet a complete quantum optical description of exact photon number exchange remained elusive. Here, we solve this gap in…

Quantum Physics · Physics 2026-03-24 Philipp Stammer

The generation of harmonics by atoms interacting with two circularly polarized and frequency related laser fields is addressed through ab initio numerical simulations. A detailed charaterization of a few specific harmonics is given. In…

Atomic Physics · Physics 2009-11-10 F. Ceccherini , N. Davini , D. Bauer , F. Cornolti

We present a comprehensive theoretical investigation of high-order harmonic generation in H$_2^+$ molecular ions within a quantum optical framework. Our study focuses on characterizing various quantum optical and quantum information…

We present a theoretical analysis of high-order harmonic generation from ion-atom collisions in the presence of linearly polarized intense laser pulses. Photons with frequencies significantly higher than in standard atomic high-harmonic…

Atomic Physics · Physics 2009-11-10 Manfred Lein , Jan M. Rost

High-harmonic generation (HHG) is a nonlinear process in which a material sample is irradiated by intense laser pulses, causing the emission of high harmonics of the incident light. HHG has historically been explained by theories employing…

For decades, most research on high harmonic generation (HHG) considered matter as quantum but light as classical, leaving the quantum-optical nature of the harmonics an open question. Here we explore the quantum properties of high…

Quantum Physics · Physics 2023-11-21 Matan Even Tzur , Michael Birk , Alexey Gorlach , Ido Kaminer , Michael Krueger , Oren Cohen

A three step model for high harmonic generation from impurities in solids is developed. The process is found to be similar to high harmonic generation in atomic and molecular gases with the main difference coming from the non-parabolic…

Atomic Physics · Physics 2018-10-31 S. Almalki , A. Parks , G. Bart , P. B. Corkum , T. Brabec , C. R. McDonald

The recent progress in the quantum optical formulation of the process of high harmonic generation has reached a point where the successful semi-classical model shows its limitations. So far the light source which drives the process was…

Quantum Physics · Physics 2024-09-16 Philipp Stammer

High-harmonic generation is a light up-conversion process occurring in a strong laser field, leading to coherent bursts of extreme ultrashort broadband radiation [1]. As a new perspective, we propose that ultrafast strong-field electronic…

We investigate high-harmonic generation in closed systems, using the two-level atom as a simplified model. By means of a windowed Fourier transform of the time-dependent dipole acceleration, we extract the main contributions to this process…

Atomic Physics · Physics 2007-05-23 C. Figueira de Morisson Faria , I Rotter

Using the frequency-domain theory, the high-order above threshold ionization (HATI) of a molecule is treated as a two-step transition: an above threshold ionization (ATI) followed by a laser-assisted collision (LAC). It is found that the…

Atomic Physics · Physics 2009-05-28 Bingbing Wang , Yingchun Guo , Zong-Chao Yan , Panming Fu

In the past two decades high-harmonic generation (HHG) has become a key process in ultra-fast science due to the extremely short time-structure of the underlying electron dynamics being imprinted in the emitted harmonic light bursts. After…

Atomic Physics · Physics 2012-01-25 Markus C. Kohler , Thomas Pfeifer , Karen Z. Hatsagortsyan , Christoph H. Keitel

High-harmonics generation spectroscopy is a promising tool for resolving electron dynamics and structure in atomic and molecular systems. This scheme, commonly described by the strong field approximation, requires a deep insight into the…

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

The high harmonic generation from atoms in the combination of chirped laser pulse and static field is theoretically investigated. For the first time, we explore a further physical mechanism of the significant extension of high harmonic…

Optics · Physics 2015-05-13 Yang Xiang , Yueping Niu , Shangqing Gong

The quantum optical description of high-order harmonic generation where both the electrons of the generating medium and the driving and generated light fields are described quantum mechanically has been of significant interest in the past…

Quantum Physics · Physics 2025-02-05 Christian Saugbjerg Lange , Lars Bojer Madsen

A calculation of the high-harmonic generation (HHG) in $\alpha$-quartz using the time-dependent density functional theory is reported. The inter-band process is attributed to the dominant in HHG above the band gap. The photon energy is set…

Optics · Physics 2017-01-04 T. Otobe

This tutorial presents the most important aspects of the molecular self-probing paradigm, which views the process of high harmonic generation as "a molecule being probed by one of its own electrons". Since the properties of the electron…

Atomic Physics · Physics 2021-03-31 Stefan Haessler , Jérémie Caillat , Pascal Salières

We present studies of high-order harmonic generation (HHG) at laser intensities well above saturation. We use driving laser pulses which present a particular electron dynamics in the turn-on stage. Our results predict an increasing on the…

Atomic Physics · Physics 2015-06-19 J. A. Pérez-Hernández , M. F. Ciappina , M. Lewenstein , A. Zaïr , L. Roso

We consider harmonics generation and wave-mixing by two-color multi photon resonant excitation of three-level atoms/molecules in strong laser fields. The coherent part of the spectra corresponding to multicolor harmonics generation is…

Atomic Physics · Physics 2016-08-24 H. K. Avetissian , B. R. Avchyan , G. F. Mkrtchian