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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…

Atomic Physics · Physics 2015-06-19 Gopal Dixit , Jan Malte Slowik , Robin Santra

Time-resolved ultrafast x-ray scattering from photo-excited matter is an emerging method to image ultrafast dynamics in matter with atomic-scale spatial and temporal resolutions. For a correct and rigorous understanding of current and…

Chemical Physics · Physics 2017-11-16 Gopal Dixit , Robin Santra

Ultrafast time-resolved x-ray scattering is an emerging approach to image the dynamical evolution of the electronic charge distribution during complex chemical and biological processes in real-space and real-time. Recently, the differences…

Atomic Physics · Physics 2015-06-15 Gopal Dixit , Robin Santra

Imaging the quantum motion of electrons not only in real-time, but also in real-space is essential to understand for example bond breaking and formation in molecules, and charge migration in peptides and biological systems. Time-resolved…

Atomic Physics · Physics 2012-07-20 Gopal Dixit , Oriol Vendrell , Robin Santra

The current flux density is a vector field that can be used to describe theoretically how electrons flow in a system out-of-equilibrium. In this work, we unequivocally demonstrate that the signal obtained from time-resolved X-ray scattering…

Atomic Physics · Physics 2020-02-04 Gunter Hermann , Vincent Pohl , Gopal Dixit , Jean Christophe Tremblay

Tracing the motion of electrons has enormous relevance to understanding ubiquitous phenomena in ultrafast science, such as the dynamical evolution of the electron density during complex chemical and biological processes. Scattering of…

Atomic Physics · Physics 2013-03-28 Gopal Dixit , Jan Malte Slowik , Robin Santra

We demonstrate how the technique of ultrafast resonant x-ray scattering can be applied to imaging dynamics of electronic wave packets in crystals. We study scattering patterns from crystals with electron dynamics in valence bands taking…

Optics · Physics 2018-12-11 Daria Popova-Gorelova , Robin Santra

We propose a novel way to image dynamical properties of nonstationary electron systems using ultrafast resonant x-ray scattering. Employing a rigorous theoretical analysis within the framework of quantum electrodynamics, we demonstrate that…

Atomic Physics · Physics 2017-11-03 Daria Popova-Gorelova , Robin Santra

Ultrafast scattering using X-rays or electrons is an emerging method to obtain structure dynamics at the atomic length and time scales. However, directly resolving in real-space atomic motions is inherently limited by the finite detector…

Atomic Physics · Physics 2023-02-09 Adi Natan

This paper studies time-dependent electromagnetic scattering from metamaterials that are described by dispersive material laws. We consider the numerical treatment of a scattering problem in which a dispersive material law, for a causal and…

Numerical Analysis · Mathematics 2023-11-08 Jörg Nick , Selina Burkhard , Christian Lubich

The advent of ultrafast pulsed X-ray free-electron lasers with very high brightness has enabled the determination of transient molecular structures of small and medium-sized organic molecules in excited states and undergoing chemical…

Chemical Physics · Physics 2025-10-07 Peter M. Weber , Brian Stankus , Adam Kirrander

Since the discovery of electron-wave duality, electron scattering instrumentation has developed into a powerful array of techniques for revealing the atomic structure of matter. Beyond detecting local lattice variations in equilibrium…

Scattering of a tightly focused electron beam by an atom forms one of the bases of modern electron microscopy. A fundamental symmetry breaking occurs when the target atom is displaced from the beam center. This displacement results in a…

Atomic Physics · Physics 2026-05-08 Yuya Morimoto , Peter Hommelhoff , Lars Bojer Madsen

Improving our understanding of electron dynamics is essential for advancing energy transfer, optoelectronics, light harvesting systems and quantum computing. Recent developments in attosecond x-ray sources provide the fundamental…

Computational Physics · Physics 2025-11-26 Maksim Radionov , Daria Popova-Gorelova

We examine x-ray scattering from an isolated organic molecule from the linear to nonlinear absorptiveregime. In the nonlinear regime, we explore the importance of both the elastic and inelastic channelsand observe the onset of nonlinear…

Chemical Physics · Physics 2021-06-09 Phay J. Ho , Adam E. A. Fouda , Kai Li , Gilles Doumy , Linda Young

Recent advances in electron microscopy allowed the generation of high-energy electron wave packets of ultrashort duration. Here we present a non-perturbative S-matrix theory for scattering of ultrashort electron wave packets by atomic…

Atomic Physics · Physics 2026-05-08 Yuya Morimoto , Lars Bojer Madsen

We describe a new method for imaging ultrafast dynamics in condensed matter using inelastic x-ray scattering (IXS). We use the concepts of causality and irreversibility to construct a general solution to the inverse scattering problem (or…

Other Condensed Matter · Physics 2009-06-12 P. Abbamonte , G. C. L. Wong , D. Cahill , J. P. Reed , R. H. Coridan , N. W. Schmidt , G. H. Lai , Y. I. Joe , D. Casa

Ultrafast x-ray scattering experiments are routinely analyzed in terms of the isotropic scattering component. Here we present an analytical method for calculating total isotropic scattering directly from ab initio two-electron densities of…

Chemical Physics · Physics 2020-03-05 Nikola Zotev , Andres Moreno Carrascosa , Mats Simmermacher , Adam Kirrander

Previous work on imaging wave packet dynamics with x-ray scattering revealed that the scattering patterns deviate substantially from the notion of instantaneous momentum density of the wave packet. Here we show that scattering patterns can…

Atomic Physics · Physics 2022-10-12 Akilesh Venkatesh , F. Robicheaux

X-ray techniques have been used for more than a century to study the atomic and electronic structure in virtually any type of material. The advent of correlated electron systems, in particular complex oxides, brought about new scientific…

Strongly Correlated Electrons · Physics 2016-04-05 Riccardo Comin , Andrea Damascelli
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