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The extension of nonlinear spectroscopic techniques into the x-ray domain is in its infancy but holds the promise to provide unique insight into the dynamics of charges in photoexcited processes, which are of fundamental as well as applied…

Non-collinear four-wave mixing (FWM) techniques at near-infrared (NIR), visible, and ultraviolet frequencies have been widely used to map vibrational and electronic couplings, typically in complex molecules. However, correlations between…

Correlation-function expressions are derived for the coherent nonlinear response of molecules to three resonant ultrafast pulses in the x-ray regime. The ability to create two-core-hole states with controlled attosecond timing in…

强关联电子 · 物理学 2009-11-11 Shaul Mukamel

The advent of nonlinear X-ray processes like sum-frequency generation and four-wave mixing raises the possibility of non-linear X-ray imaging, combining the high-resolution and elemental specificity of X-ray imaging with the state…

光学 · 物理学 2025-12-18 Arnab Sarkar , Allan S. Johnson

Combined spectrally and time resolved measurements provide information not otherwise available if performed in either domain alone. We demonstrate a new approach to Four Wave Mixing spectroscopy, where spectral selectivity is achieved by…

光学 · 物理学 2015-05-13 Yuri Paskover , Andrey Shalit , Yehiam Prior

This tutorial provides a joint theoretical and experimental overview of heterodyne wave mixing spectroscopy, focusing mainly on four-wave mixing (FWM). This powerful and versatile time-resolved nonlinear optical spectroscopy technique…

介观与纳米尺度物理 · 物理学 2026-01-12 Daniel Groll , Thilo Hahn , Paweł Machnikowski , Tilmann Kuhn , Jacek Kasprzak , Daniel Wigger

The attosecond, time-resolved X-ray double-quantum-coherence (XDQC) four wave mixing signals of formamide at the nitrogen and oxygen K-edges are simulated using restricted excitation window time-dependent density functional theory…

原子物理 · 物理学 2015-06-15 Yu Zhang , Daniel Healion , Jason D. Biggs , Shaul Mukamel

X-ray four-wave mixing signals generated in the $k_1 + k_2 - k_3$ phase-matching direction are simulated for N1s transitions in para-nitroanline and two-ring hydrocarbons disubstituted with an amine and a nitroso groups. The two-dimensional…

原子物理 · 物理学 2008-11-20 Igor V. Schweigert , Shaul Mukamel

We demonstrate the double electromagnetically induced transparency (double-EIT) and double four-wave mixing (double-FWM) based on a new scheme of non-degenerate four-wave mixing (FWM) involving five levels of a cold 85Rb atomic ensemble, in…

光学 · 物理学 2015-06-05 Yang Liu , Jing-Hui Wu , Dong-Sheng Ding , Bao-Sen Shi , Guang-Can Guo

The correlated behavior of electrons determines the structure and optical properties of molecules, semiconductor and other systems. Valuable information on these correlations is provided by measuring the response to femtosecond laser…

介观与纳米尺度物理 · 物理学 2009-11-13 Shaul Mukamel , Rafal Oszwaldowski , Lijun Yang

Three-color coherent anti-Stokes Raman scattering represents non-degenerate four wave mixing process that includes both a non-resonant and resonant processes, the contributions of which depend on how the molecular vibrational modes are…

光学 · 物理学 2020-10-14 Supriya Nagpal , Bryan Semon , Gombojav O. Ariunbold

We analyze a class of inner-shell x-ray laser systems in which the initial conditions of the emission are set by a resonant x-ray difference-frequency drive. Using a microscopic density-matrix framework, we show that two coherent x-ray…

原子物理 · 物理学 2026-01-26 Carles Serrat

We report here a detailed study of the four-wave mixing process in the extreme ultraviolet (XUV) region around 30 nm by using two collinear incommensurate frequency laser pulses. The experimental results reveal evidence of the coherent…

光学 · 物理学 2019-04-03 Khoa Anh Tran , Khuong Ba Dinh , Peter Hannaford , Lap Van Dao

We report here experimental results of perturbative nonlinear optical wave-mixing processes in the extreme ultraviolet region by using two-color and three-color laser fields. Besides the usual odd-harmonic spectrum of high harmonic…

光学 · 物理学 2019-04-02 Khoa Anh Tran , Khuong Ba Dinh , Peter Hannaford , Lap Van Dao

Future ultrafast x-ray light sources might image ultrafast coherent electron motion in real-space and in real-time. For a rigorous understanding of such an imaging experiment, we extend the theory of non-resonant x-ray scattering to the…

原子物理 · 物理学 2015-06-19 Gopal Dixit , Jan Malte Slowik , Robin Santra

We theoretically investigate a N-type 87Rb atomic system for efficient generation and control of a non-degenerate Four wave mixing (FWM) signal in pulsed regime. The susceptibility of the atomic medium is customized as a gain profile by a…

光学 · 物理学 2023-06-29 Nawaz Sarif Mallick , Sankar De

We study theoretically the time-resolved four-wave mixing (FWM) response of an ensemble of pairs of quantum dots undergoing radiative recombination. At short (picosecond) delay times, the response signal shows beats that may be dominated by…

介观与纳米尺度物理 · 物理学 2009-10-04 Anna Sitek , Pawel Machnikowski

Understanding the interaction of intense, femtosecond X-ray pulses with heavy atoms is crucial for gaining insights into the structure and dynamics of matter. One key aspect of nonlinear light-matter interaction was, so far, not studied…

We have analyzed a five-level $\wedge$-configuration Four-Wave Mixing (FWM) scheme for obtaining a high-efficiency FWM based on the two electromagnetically induced transparency. We find that the maximum FWM efficiency is nearly 30%, which…

原子物理 · 物理学 2015-05-14 Zhiping Wang , Shuangxi Zhang

Coherent Raman scattering provides highly sensitive vibrational analysis through nonlinear light-matter interactions. However, its application to metal interfaces has remained challenging because the intrinsically large non-resonant…

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