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We have implemented the gedanken experiment of an individual atom scattering a wave packet of near-resonant light, and measured the associated Wigner time-delay as a function of the frequency of the light. In our apparatus the atom behaves…

Atomic Physics · Physics 2015-01-13 R. Bourgain , J. Pellegrino , Y. R. P. Sortais , A. Browaeys

We discuss the properties of eigenphases of S--matrices in random models simulating classically chaotic scattering. The energy dependence of the eigenphases is investigated and the corresponding velocity and curvature distributions are…

chao-dyn · Physics 2009-10-28 Petr Seba , Karol Zyczkowski , Jakub Zakrzewski

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

Recent advances in electron microscopy trigger the question whether attosecond electron diffraction can resolve atomic-scale electron dynamics in crystalline materials in space and time. Here we explore the physics of the relevant…

Atomic Physics · Physics 2026-05-08 Yuya Morimoto , Peter Baum

We investigate theoretically the relative time delay of photoelectrons originating from different atomic subshells of noble gases. This quantity was measured via attosecond streaking and studied theoretically by Schultze et al. [Science…

Atomic Physics · Physics 2015-06-22 Jonas Wätzel , Andrey Moskalenko , Yaroslav Pavlyukh , Jamal Berakdar

Scattering properties and time delays for general (non-symmetric) potentials in terms of the respective S-matrices are discussed paradigmatically in one dimension and in comparison to symmetric potentials. Only for the latter the Wigner and…

Quantum Physics · Physics 2025-01-07 Ulf Saalmann , Jan M. Rost

The Wigner delay time is addressed semiclassically using the Miller's S-matrix expressed in terms of open orbits. This leads to a very appealing expression, in terms of classical paths, for the energy averaged Wigner time delay in chaotic…

Condensed Matter · Physics 2009-11-10 Caio H. Lewenkopf , Raul O. Vallejos

Attosecond streaking is one of the most fundamental processes in attosecond science allowing for a mapping of temporal (i.e. phase) information on the energy domain. We show that on the single-particle level attosecond streaking time shifts…

The Drude scattering times of electrons in two subbands of a parabolic quantum well have been studied at constant electron sheet density and different positions of the electron distribution along the growth direction. The scattering times…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 G. Salis , P. Wirth , T. Heinzel , T. Ihn , K. Ensslin , K. Maranwoski , A. C. Gossard

In this short review paper, we discuss the concept of time delay for an abstract quantum scattering system. Its definition in terms of sojourn times is explained as well as its identity with the so-called Eisenbud-Wigner time delay.…

Mathematical Physics · Physics 2011-03-22 S. Richard

Angular dependence of photoemission time delay for the valence $np_{3/2}$ and $np_{1/2}$ subshells of Ar, Kr and Xe is studied in the dipole relativistic random phase approximation. Strong angular anisotropy of the time delay is reproduced…

Atomic Physics · Physics 2026-03-03 A. S. Kheifets , Ankur Mandal , P. C. Deshmukh , V. K. Dolmatov , S. T. Manson

This work studies time-dependent electromagnetic scattering from obstacles whose interaction with the wave is fully determined by a nonlinear boundary condition. In particular, the boundary condition studied in this work enforces a power…

Numerical Analysis · Mathematics 2023-10-30 Jörg Nick

In this paper conceptual points regarding electrons elastic (Kapitza-Dirac effect) and inelastic diffraction effect on the different type slowed electromagnetic wave structures/light gratings are considered. From the unified point of view…

Optics · Physics 2016-09-21 H. K. Avetissian

An embedding method for solving the time-dependent Schr\"odinger equation is developed using the Dirac-Frenkel variational principle. Embedding allows the time-evolution of the wavefunction to be calculated explicitly in a limited region of…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 J. E. Inglesfield

The generation of a streaking spectrogram is based on energy absorption from the streaking laser. Investigating this absorption we show rigorously under which condition the measured time shift is independent of properties of the streaking…

Atomic Physics · Physics 2020-09-16 Ulf Saalmann , Jan M Rost

Theory of electron-acoustic single phonon scattering has been reconsidered. It is assumed that the non-degenerate semiconductor has a spherical parabolic band structure. In the basis of the reconsideration there is a phenomenon of the…

Materials Science · Physics 2015-06-15 S. V. Melkonyan , A. L. Harutyunyan , T. A. Zalinyan

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 prove that the existence of time delay defined in terms of sojourn times, as well as its identity with Eisenbud-Wigner time delay, is a common feature of two Hilbert space quantum scattering theory. All statements are model-independent.

Mathematical Physics · Physics 2010-08-23 S. Richard , R. Tiedra de Aldecoa

We consider wave propagation in a complex structure coupled to a finite number $N$ of scattering channels, such as chaotic cavities or quantum dots with external leads. Temporal aspects of the scattering process are analysed through the…

Mathematical Physics · Physics 2019-12-12 Aurélien Grabsch , Dmitry V. Savin , Christophe Texier

Effects of confinement and electron correlations on the relative time delay between the 3s and 3p photoemissions of Ar confined endohedrally in C$_{60}$ are investigated using the time dependent local density approximation - a method that…

Atomic Physics · Physics 2013-11-14 Gopal Dixit , Himadri S. Chakraborty , Mohamed El-Amine Madjet