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

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


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


Works referencing / citing this record:

Theory of nonlinear interactions between x rays and optical radiation in crystals
journal, November 2019