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Optical coherence encodes information about the correlations of the electromagnetic field. In combination with quantum optical approaches, it allows for the study of the correlations between photons. Since the pioneering papers of Glauber,…

Quantum Physics · Physics 2025-04-21 Philipp Stammer , Javier Rivera-Dean , Maciej Lewenstein

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…

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

We study the effect of electron-electron correlations on the quantum state of the light emitted from high-harmonic generation (HHG). The quantum state of the emitted light is obtained by using a fully quantum mechanical description of both…

Quantum Physics · Physics 2024-03-19 Christian Saugbjerg Lange , Thomas Hansen , Lars Bojer Madsen

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

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

Fully quantum treatment explicitly presents the high harmonic generation as a three-step process: (i) above threshold ionization (ATI) is followed by (ii) electron propagation in a laser-dressed continuum. Subsequently (iii) stimulated (or…

Atomic Physics · Physics 2009-10-31 M. Yu. Kuchiev , V. N. Ostrovsky

We develop a general theory of high-harmonic generation (HHG) in solid-state systems, based on a weak-correlation expansion of photonic and matter degrees of freedom. Unlike standard HHG theories, which treat light-matter dynamics through…

Mesoscale and Nanoscale Physics · Physics 2026-04-23 Denis Ilin , Alexander S. Solntsev , Ivan Iorsh

We study the interactions of a possibly dense and/or quantum degenerate gas with driving light. Both the atoms and the electromagnetic fields are represented by quantum fields throughout the analysis. We introduce a field theory version of…

Condensed Matter · Physics 2009-10-30 Janne Ruostekoski , Juha Javanainen

A quantum optical model for the high-order harmonic generation is presented, in which both the exciting field and the high harmonic modes are quantized, while the target material appears via parameters only. As a consequence, the model is…

We present a theoretical demonstration on the generation of entangled coherent states and of coherent state superpositions, with photon numbers and frequencies orders of magnitude higher than those provided by the current technology. This…

We present a study of photon statistics associated with high-order harmonic generation (HHG) involving one-mode and intermodal correlations of the high harmonic photons. The aim of the paper is to give insight into the nonclassical…

Quantum Physics · Physics 2021-09-15 Ákos Gombkötő , Péter Földi , Sándor Varró

Intense light-matter interaction largely relies on the use of high-power light sources, creating fields comparable to, or even stronger than, the field keeping the electrons bound in atoms. Under such conditions, the interaction induces…

Quantum Physics · Physics 2025-10-23 P. Stammer , J. Rivera-Dean , P. Tzallas , M. F. Ciappina , M. Lewenstein

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…

The interaction of electrons with strong laser fields is usually treated with semiclassical theory, where the laser is represented by an external field. There are analytic solutions for the free electron wave functions, which incorporate…

Quantum Physics · Physics 2024-07-09 Sándor Varró

At the fundamental level, full description of light-matter interaction requires quantum treatment of both matter and light. However, for standard light sources generating intense laser pulses carrying quadrillions of photons in a coherent…

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

In recent years, strong-field processes such as high-order harmonic generation (HHG) and above-threshold ionization driven by nonclassical states of light have become an increasingly popular field of study. The theoretical modeling of these…

Quantum Physics · Physics 2026-02-05 Rasmus Vesterager Gothelf , Lars Bojer Madsen , Christian Saugbjerg Lange

A master equation for light generated by atoms, which states are prepared by a pumping mechanism that produces atomic correlations, is derived in the Fokker-Planck approximation. It has been found that two-particle correlations only play…

Quantum Physics · Physics 2007-05-23 V. N. Gorbachev , A. I. Zhiliba , A. I. Trubilko

The strong-field approximation for high-harmonic generation in near-infrared and infrared laser pulses is formulated in the accelerated Kramers-Henneberger frame. The accompanying physical picture is discussed and the nature of the…

Quantum Physics · Physics 2021-10-04 Lars Bojer Madsen
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