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Title: Theory of x-ray scattering from laser-driven electronic systems

Abstract

We describe, within the framework of quantum electrodynamics, an interaction between a nonresonant hard x-ray pulse and an electronic system in the presence of a temporally periodic laser field driving electron dynamics in this system. Here we apply Floquet theory to describe the laser-driven electronic system, and then obtain the scattering probability of an arbitrary nonresonant x-ray pulse from such a system employing the density-matrix formalism. We show that the scattering probability can be connected to the time-dependent electron density of the driven electronic system only under certain conditions, in particular, if the bandwidth of the probe x-ray pulse is sufficiently narrow to spectroscopically resolve transitions to different final states. A special focus is laid on application of the theory to laser-driven crystals in a strongly nonperturbative regime. We show how the time-dependent electron density of a crystal can be reconstructed from energy-resolved scattering patterns. This is illustrated by a calculation of a diffraction signal from a driven MgO crystal.

Authors:
 [1];  [2];  [3]
  1. Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany). Center for Free-Electron Laser Science; Univ. of Hamburg (Germany). The Hamburg Centre for Ultrafast Imaging
  2. SLAC National Accelerator Lab., Menlo Park, CA (United States). PULSE Inst.; Stanford Univ., CA (United States). Dept. of Applied Physics. Dept. of Photon Science
  3. Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany). Center for Free-Electron Laser Science; Univ. of Hamburg (Germany). The Hamburg Centre for Ultrafast Imaging. Dept. of Physics
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States); Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1490395
Alternate Identifier(s):
OSTI ID: 1484418
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 98; Journal Issue: 22; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; quantum description of light-matter interaction; Bloch-Floquet theorem; nonperturbative methods; X-ray scattering

Citation Formats

Popova-Gorelova, Daria, Reis, David A., and Santra, Robin. Theory of x-ray scattering from laser-driven electronic systems. United States: N. p., 2018. Web. doi:10.1103/physrevb.98.224302.
Popova-Gorelova, Daria, Reis, David A., & Santra, Robin. Theory of x-ray scattering from laser-driven electronic systems. United States. doi:10.1103/physrevb.98.224302.
Popova-Gorelova, Daria, Reis, David A., and Santra, Robin. Tue . "Theory of x-ray scattering from laser-driven electronic systems". United States. doi:10.1103/physrevb.98.224302.
@article{osti_1490395,
title = {Theory of x-ray scattering from laser-driven electronic systems},
author = {Popova-Gorelova, Daria and Reis, David A. and Santra, Robin},
abstractNote = {We describe, within the framework of quantum electrodynamics, an interaction between a nonresonant hard x-ray pulse and an electronic system in the presence of a temporally periodic laser field driving electron dynamics in this system. Here we apply Floquet theory to describe the laser-driven electronic system, and then obtain the scattering probability of an arbitrary nonresonant x-ray pulse from such a system employing the density-matrix formalism. We show that the scattering probability can be connected to the time-dependent electron density of the driven electronic system only under certain conditions, in particular, if the bandwidth of the probe x-ray pulse is sufficiently narrow to spectroscopically resolve transitions to different final states. A special focus is laid on application of the theory to laser-driven crystals in a strongly nonperturbative regime. We show how the time-dependent electron density of a crystal can be reconstructed from energy-resolved scattering patterns. This is illustrated by a calculation of a diffraction signal from a driven MgO crystal.},
doi = {10.1103/physrevb.98.224302},
journal = {Physical Review B},
issn = {2469-9950},
number = 22,
volume = 98,
place = {United States},
year = {2018},
month = {12}
}

Journal Article:
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Works referenced in this record:

Observation of Floquet-Bloch States on the Surface of a Topological Insulator
journal, October 2013

  • Wang, Y. H.; Steinberg, H.; Jarillo-Herrero, P.
  • Science, Vol. 342, Issue 6157, p. 453-457
  • DOI: 10.1126/science.1239834