DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

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 Laboratory (SLAC), Menlo Park, CA (United States); Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1490395
Alternate Identifier(s):
OSTI ID: 1484418
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
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. https://doi.org/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. https://doi.org/10.1103/physrevb.98.224302. https://www.osti.gov/servlets/purl/1490395.
@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},
number = 22,
volume = 98,
place = {United States},
year = {Tue Dec 04 00:00:00 EST 2018},
month = {Tue Dec 04 00:00:00 EST 2018}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 6 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Periodically Driven Quantum Systems: Effective Hamiltonians and Engineered Gauge Fields
journal, August 2014


Experimental Realization of Strong Effective Magnetic Fields in an Optical Lattice
journal, December 2011


X-rays inspire electron movies
journal, October 2012


Impact of the Electronic Band Structure in High-Harmonic Generation Spectra of Solids
journal, February 2017


Interband Bloch oscillation mechanism for high-harmonic generation in semiconductor crystals
journal, September 2015


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

Theory of electronic band structure in intense laser fields
journal, August 1975


Observation of high-order harmonic generation in a bulk crystal
journal, December 2010

  • Ghimire, Shambhu; DiChiara, Anthony D.; Sistrunk, Emily
  • Nature Physics, Vol. 7, Issue 2
  • DOI: 10.1038/nphys1847

What will it take to observe processes in 'real time'?
journal, February 2014

  • Leone, Stephen R.; McCurdy, C. William; Burgdörfer, Joachim
  • Nature Photonics, Vol. 8, Issue 3
  • DOI: 10.1038/nphoton.2014.48

Attosecond science
journal, June 2007

  • Corkum, P. B.; Krausz, Ferenc
  • Nature Physics, Vol. 3, Issue 6
  • DOI: 10.1038/nphys620

Floquet-Bloch theory of high-harmonic generation in periodic structures
journal, July 1997


Anisotropic high-harmonic generation in bulk crystals
journal, November 2016

  • You, Yong Sing; Reis, David A.; Ghimire, Shambhu
  • Nature Physics, Vol. 13, Issue 4
  • DOI: 10.1038/nphys3955

Solution of the Schrödinger Equation with a Hamiltonian Periodic in Time
journal, May 1965


Photovoltaic Hall effect in graphene
journal, February 2009


Ultrafast X-Ray Spectroscopy of Conical Intersections
journal, June 2018


Strong-field and attosecond physics in solids
journal, October 2014

  • Ghimire, Shambhu; Ndabashimiye, Georges; DiChiara, Anthony D.
  • Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 47, Issue 20
  • DOI: 10.1088/0953-4075/47/20/204030

Creating stable Floquet–Weyl semimetals by laser-driving of 3D Dirac materials
journal, January 2017

  • Hübener, Hannes; Sentef, Michael A.; De Giovannini, Umberto
  • Nature Communications, Vol. 8, Issue 1
  • DOI: 10.1038/ncomms13940

Semiclassical analysis of high harmonic generation in bulk crystals
journal, February 2015


Electromagnetically Induced Transparency for X Rays
journal, June 2007


Recent developments in the ABINIT software package
journal, August 2016


Diabatic Mechanisms of Higher-Order Harmonic Generation in Solid-State Materials under High-Intensity Electric Fields
journal, January 2016


Optically Modulated X-Ray Diffraction
journal, November 1970


Attosecond physics
journal, February 2009


Springer Handbook of Atomic, Molecular, and Optical Physics
book, January 2006


Multiphoton ionization of xenon in the vuv regime
journal, November 2004


Imaging interatomic electron current in crystals with ultrafast resonant x-ray scattering
journal, November 2015


Imaging Electron Dynamics with Ultrashort Light Pulses: A Theory Perspective
journal, February 2018


Mixing of X-Ray and Optical Photons
journal, March 1971


ABINIT: First-principles approach to material and nanosystem properties
journal, December 2009


Solid-state harmonics beyond the atomic limit
journal, June 2016

  • Ndabashimiye, Georges; Ghimire, Shambhu; Wu, Mengxi
  • Nature, Vol. 534, Issue 7608
  • DOI: 10.1038/nature17660

Imaging instantaneous electron flow with ultrafast resonant x-ray scattering
journal, May 2015


Optical Coherence and Quantum Optics
book, January 1995


Simulating Coherent Multidimensional Spectroscopy of Nonadiabatic Molecular Processes: From the Infrared to the X-ray Regime
journal, September 2017

  • Kowalewski, Markus; Fingerhut, Benjamin P.; Dorfman, Konstantin E.
  • Chemical Reviews, Vol. 117, Issue 19
  • DOI: 10.1021/acs.chemrev.7b00081

A brief introduction to the ABINIT software package
journal, January 2005


Femtosecond diffractive imaging with a soft-X-ray free-electron laser
journal, November 2006

  • Chapman, Henry N.; Barty, Anton; Bogan, Michael J.
  • Nature Physics, Vol. 2, Issue 12
  • DOI: 10.1038/nphys461

X-ray and optical wave mixing
journal, August 2012

  • Glover, T. E.; Fritz, D. M.; Cammarata, M.
  • Nature, Vol. 488, Issue 7413
  • DOI: 10.1038/nature11340

Quantum Simulation of Frustrated Classical Magnetism in Triangular Optical Lattices
journal, July 2011


Sub-cycle control of terahertz high-harmonic generation by dynamical Bloch oscillations
journal, January 2014


The Quantum Theory of Optical Coherence
journal, June 1963


High harmonic interferometry of multi-electron dynamics in molecules
journal, July 2009

  • Smirnova, Olga; Mairesse, Yann; Patchkovskii, Serguei
  • Nature, Vol. 460, Issue 7258
  • DOI: 10.1038/nature08253

High-order harmonic generation in solids: A unifying approach
journal, September 2016


Imaging Atomic Structure and Dynamics with Ultrafast X-ray Scattering
journal, June 2007


Imaging electronic quantum motion with light
journal, July 2012

  • Dixit, G.; Vendrell, O.; Santra, R.
  • Proceedings of the National Academy of Sciences, Vol. 109, Issue 29
  • DOI: 10.1073/pnas.1202226109

Efficient pseudopotentials for plane-wave calculations
journal, January 1991


Creating stable Floquet–Weyl semimetals by laser-driving of 3D Dirac materials
text, January 2017

  • Hübener, Hannes; Sentef, Michael A.; De Giovannini, Umberto
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/pubdb-2017-10018

Imaging Electron Dynamics with Ultrashort Light Pulses: A Theory Perspective
text, January 2018


Optically Modulated X-Ray Diffraction
journal, January 1971


Observation of Floquet-Bloch States on the Surface of a Topological Insulator
conference, January 2014


Observation of Floquet-Bloch states on the surface of a topological insulator
conference, January 2014

  • Wang, Y. H.; Steinberg, H.; Jarillo-Herrero, P.
  • 19th International Conference on Ultrafast Phenomena
  • DOI: 10.1364/up.2014.10.thu.a.2

Attosecond physics
conference, January 2007

  • Kienberger, Reinhard; Krausz, Ferenc
  • ICALEO® 2007: 26th International Congress on Laser Materials Processing, Laser Microprocessing and Nanomanufacturing, International Congress on Applications of Lasers & Electro-Optics
  • DOI: 10.2351/1.5061046

Impact of the Electronic Band Structure in High-Harmonic Generation Spectra of Solids
text, January 2017

  • Tancogne-Dejean, Nicolas; Muecke, Oliver D.; Kärtner, Franz
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/pubdb-2017-01144

High-order harmonic generation in solids: A unifying approach
text, January 2016


Electromagnetically induced transparency for x rays
text, January 2007


Photovoltaic Hall effect in graphene
text, January 2008


Ultrafast X-ray spectroscopy of conical intersections
text, January 2018


Works referencing / citing this record: