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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)
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. 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. 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 = {2018},
month = {12}
}

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Works referenced in this record:

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journal, August 2014


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


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Photovoltaic Hall effect in graphene
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Ultrafast X-Ray Spectroscopy of Conical Intersections
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Strong-field and attosecond physics in solids
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Creating stable Floquet–Weyl semimetals by laser-driving of 3D Dirac materials
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Semiclassical analysis of high harmonic generation in bulk crystals
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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
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Attosecond physics
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Multiphoton ionization of xenon in the vuv regime
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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
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Mixing of X-Ray and Optical Photons
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ABINIT: First-principles approach to material and nanosystem properties
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Imaging instantaneous electron flow with ultrafast resonant x-ray scattering
journal, May 2015


Simulating Coherent Multidimensional Spectroscopy of Nonadiabatic Molecular Processes: From the Infrared to the X-ray Regime
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A brief introduction to the ABINIT software package
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Femtosecond diffractive imaging with a soft-X-ray free-electron laser
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X-ray and optical wave mixing
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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

Attosecond Science
journal, January 2004


    Works referencing / citing this record:

    Theory of x-ray scattering from laser-driven electronic systems
    text, January 2018

    • Popova-Gorelova, Daria; Reis, David A.; Santra, Robin
    • Deutsches Elektronen-Synchrotron, DESY, Hamburg
    • DOI: 10.3204/pubdb-2018-05209

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


    Recent developments in the ABINIT software package
    journal, August 2016


    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

    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

    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

    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

    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

    X-rays inspire electron movies
    journal, October 2012


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


    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

    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

    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

    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

    Attosecond science
    journal, June 2007

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

    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

    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

    The Quantum Theory of Optical Coherence
    journal, June 1963


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


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


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


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


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


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


    Efficient pseudopotentials for plane-wave calculations
    journal, January 1991


    Photovoltaic Hall effect in graphene
    journal, February 2009


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


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


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


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


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


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


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


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


    Optically Modulated X-Ray Diffraction
    journal, November 1970


    Electromagnetically Induced Transparency for X Rays
    journal, June 2007


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


    Attosecond physics
    journal, February 2009


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


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


    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

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


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