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

Popova-Gorelova, Daria; Reis, David A.; Santra, Robin

doi:10.1103/physrevb.98.224302

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

Journal Article · 04 December 2018 · Physical Review. B

DOI: https://doi.org/10.1103/physrevb.98.224302 · OSTI ID:1490395

Popova-Gorelova, Daria ^[1]; Reis, David A. ^[2]; Santra, Robin ^[3]

Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany). Center for Free-Electron Laser Science; Univ. of Hamburg (Germany). The Hamburg Centre for Ultrafast Imaging
SLAC National Accelerator Lab., Menlo Park, CA (United States). PULSE Inst.; Stanford Univ., CA (United States). Dept. of Applied Physics. Dept. of Photon Science
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

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.

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Research Organization:: SLAC National Accelerator Lab., Menlo Park, CA (United States); Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

Grant/Contract Number:: AC02-76SF00515

OSTI ID:: 1490395

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 22 Vol. 98; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (60)

Ellipticity dependence of high-harmonic generation in solids: unraveling the interplay between intraband and interband dynamics Tancogne-Dejean, Nicolas; Mücke, Oliver D.; Kärtner, Franz X. arXiv https://doi.org/10.48550/arxiv.1706.02890	text	January 2017
Springer Handbook of Atomic, Molecular, and Optical Physics Drake, Gordon Springer New York, NY https://doi.org/10.1007/978-0-387-26308-3	book	January 2006
ABINIT: First-principles approach to material and nanosystem properties Gonze, X.; Amadon, B.; Anglade, P. -M. Computer Physics Communications, Vol. 180, Issue 12 https://doi.org/10.1016/j.cpc.2009.07.007	journal	December 2009
Recent developments in the ABINIT software package Gonze, X.; Jollet, F.; Abreu Araujo, F. Computer Physics Communications, Vol. 205 https://doi.org/10.1016/j.cpc.2016.04.003	journal	August 2016
Beyond the Floquet theorem: generalized Floquet formalisms and quasienergy methods for atomic and molecular multiphoton processes in intense laser fields Chu, Shih-I; Telnov, Dmitry A. Physics Reports, Vol. 390, Issue 1-2 https://doi.org/10.1016/j.physrep.2003.10.001	journal	February 2004
Optical Coherence and Quantum Optics Mandel, Leonard; Wolf, Emil https://doi.org/10.1017/CBO9781139644105	book	January 1995
Simulating Coherent Multidimensional Spectroscopy of Nonadiabatic Molecular Processes: From the Infrared to the X-ray Regime Kowalewski, Markus; Fingerhut, Benjamin P.; Dorfman, Konstantin E. Chemical Reviews, Vol. 117, Issue 19 https://doi.org/10.1021/acs.chemrev.7b00081	journal	September 2017
High harmonic interferometry of multi-electron dynamics in molecules Smirnova, Olga; Mairesse, Yann; Patchkovskii, Serguei Nature, Vol. 460, Issue 7258 https://doi.org/10.1038/nature08253	journal	July 2009
X-ray and optical wave mixing Glover, T. E.; Fritz, D. M.; Cammarata, M. Nature, Vol. 488, Issue 7413 https://doi.org/10.1038/nature11340	journal	August 2012
Solid-state harmonics beyond the atomic limit Ndabashimiye, Georges; Ghimire, Shambhu; Wu, Mengxi Nature, Vol. 534, Issue 7608 https://doi.org/10.1038/nature17660	journal	June 2016
Creating stable Floquet–Weyl semimetals by laser-driving of 3D Dirac materials Hübener, Hannes; Sentef, Michael A.; De Giovannini, Umberto Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/ncomms13940	journal	January 2017
X-rays inspire electron movies Vrakking, Marc J. J.; Elsaesser, Thomas Nature Photonics, Vol. 6, Issue 10 https://doi.org/10.1038/nphoton.2012.247	journal	October 2012
Sub-cycle control of terahertz high-harmonic generation by dynamical Bloch oscillations Schubert, O.; Hohenleutner, M.; Langer, F. Nature Photonics, Vol. 8, Issue 2 https://doi.org/10.1038/nphoton.2013.349	journal	January 2014
What will it take to observe processes in 'real time'? Leone, Stephen R.; McCurdy, C. William; Burgdörfer, Joachim Nature Photonics, Vol. 8, Issue 3 https://doi.org/10.1038/nphoton.2014.48	journal	February 2014
Observation of high-order harmonic generation in a bulk crystal Ghimire, Shambhu; DiChiara, Anthony D.; Sistrunk, Emily Nature Physics, Vol. 7, Issue 2 https://doi.org/10.1038/nphys1847	journal	December 2010
Anisotropic high-harmonic generation in bulk crystals You, Yong Sing; Reis, David A.; Ghimire, Shambhu Nature Physics, Vol. 13, Issue 4 https://doi.org/10.1038/nphys3955	journal	November 2016
Femtosecond diffractive imaging with a soft-X-ray free-electron laser Chapman, Henry N.; Barty, Anton; Bogan, Michael J. Nature Physics, Vol. 2, Issue 12 https://doi.org/10.1038/nphys461	journal	November 2006
Attosecond science Corkum, P. B.; Krausz, Ferenc Nature Physics, Vol. 3, Issue 6 https://doi.org/10.1038/nphys620	journal	June 2007
Imaging electronic quantum motion with light Dixit, G.; Vendrell, O.; Santra, R. Proceedings of the National Academy of Sciences, Vol. 109, Issue 29 https://doi.org/10.1073/pnas.1202226109	journal	July 2012
Strong-field and attosecond physics in solids Ghimire, Shambhu; Ndabashimiye, Georges; DiChiara, Anthony D. Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 47, Issue 20 https://doi.org/10.1088/0953-4075/47/20/204030	journal	October 2014
The Quantum Theory of Optical Coherence Glauber, Roy J. Physical Review, Vol. 130, Issue 6 https://doi.org/10.1103/PhysRev.130.2529	journal	June 1963
Solution of the Schrödinger Equation with a Hamiltonian Periodic in Time Shirley, Jon H. Physical Review, Vol. 138, Issue 4B https://doi.org/10.1103/PhysRev.138.B979	journal	May 1965
Mixing of X-Ray and Optical Photons Eisenberger, P. M.; McCall, S. L. Physical Review A, Vol. 3, Issue 3 https://doi.org/10.1103/PhysRevA.3.1145	journal	March 1971
Floquet-Bloch theory of high-harmonic generation in periodic structures Faisal, F. H. M.; Kamiński, J. Z. Physical Review A, Vol. 56, Issue 1 https://doi.org/10.1103/PhysRevA.56.748	journal	July 1997
Multiphoton ionization of xenon in the vuv regime Santra, Robin; Greene, Chris H. Physical Review A, Vol. 70, Issue 5 https://doi.org/10.1103/PhysRevA.70.053401	journal	November 2004
Interband Bloch oscillation mechanism for high-harmonic generation in semiconductor crystals McDonald, C. R.; Vampa, G.; Corkum, P. B. Physical Review A, Vol. 92, Issue 3 https://doi.org/10.1103/PhysRevA.92.033845	journal	September 2015
Theory of electronic band structure in intense laser fields Tzoar, N.; Gersten, J. I. Physical Review B, Vol. 12, Issue 4 https://doi.org/10.1103/PhysRevB.12.1132	journal	August 1975
Efficient pseudopotentials for plane-wave calculations Troullier, N.; Martins, José Luriaas Physical Review B, Vol. 43, Issue 3 https://doi.org/10.1103/PhysRevB.43.1993	journal	January 1991
Floquet-Bloch states, quasienergy bands, and high-order harmonic generation for single-walled carbon nanotubes under intense laser fields Hsu, Han; Reichl, L. E. Physical Review B, Vol. 74, Issue 11 https://doi.org/10.1103/PhysRevB.74.115406	journal	September 2006
Photovoltaic Hall effect in graphene Oka, Takashi; Aoki, Hideo Physical Review B, Vol. 79, Issue 8 https://doi.org/10.1103/PhysRevB.79.081406	journal	February 2009
Semiclassical analysis of high harmonic generation in bulk crystals Vampa, G.; McDonald, C. R.; Orlando, G. Physical Review B, Vol. 91, Issue 6 https://doi.org/10.1103/PhysRevB.91.064302	journal	February 2015
Imaging instantaneous electron flow with ultrafast resonant x-ray scattering Popova-Gorelova, Daria; Santra, Robin Physical Review B, Vol. 91, Issue 18 https://doi.org/10.1103/PhysRevB.91.184303	journal	May 2015
Imaging interatomic electron current in crystals with ultrafast resonant x-ray scattering Popova-Gorelova, Daria; Santra, Robin Physical Review B, Vol. 92, Issue 18 https://doi.org/10.1103/PhysRevB.92.184304	journal	November 2015
High-order harmonic generation in solids: A unifying approach Luu, Tran Trung; Wörner, Hans Jakob Physical Review B, Vol. 94, Issue 11 https://doi.org/10.1103/PhysRevB.94.115164	journal	September 2016
Experimental Realization of Strong Effective Magnetic Fields in an Optical Lattice Aidelsburger, M.; Atala, M.; Nascimbène, S. Physical Review Letters, Vol. 107, Issue 25 https://doi.org/10.1103/PhysRevLett.107.255301	journal	December 2011
Diabatic Mechanisms of Higher-Order Harmonic Generation in Solid-State Materials under High-Intensity Electric Fields Tamaya, T.; Ishikawa, A.; Ogawa, T. Physical Review Letters, Vol. 116, Issue 1 https://doi.org/10.1103/PhysRevLett.116.016601	journal	January 2016
Impact of the Electronic Band Structure in High-Harmonic Generation Spectra of Solids Tancogne-Dejean, Nicolas; Mücke, Oliver D.; Kärtner, Franz X. Physical Review Letters, Vol. 118, Issue 8 https://doi.org/10.1103/PhysRevLett.118.087403	journal	February 2017
Ultrafast X-Ray Spectroscopy of Conical Intersections Neville, Simon P.; Chergui, Majed; Stolow, Albert Physical Review Letters, Vol. 120, Issue 24 https://doi.org/10.1103/PhysRevLett.120.243001	journal	June 2018
Optically Modulated X-Ray Diffraction Freund, Isaac; Levine, B. F. Physical Review Letters, Vol. 25, Issue 18 https://doi.org/10.1103/PhysRevLett.25.1241	journal	November 1970
Electromagnetically Induced Transparency for X Rays Buth, Christian; Santra, Robin; Young, Linda Physical Review Letters, Vol. 98, Issue 25 https://doi.org/10.1103/PhysRevLett.98.253001	journal	June 2007
Periodically Driven Quantum Systems: Effective Hamiltonians and Engineered Gauge Fields Goldman, N.; Dalibard, J. Physical Review X, Vol. 4, Issue 3 https://doi.org/10.1103/PhysRevX.4.031027	journal	August 2014
Attosecond physics Krausz, Ferenc; Ivanov, Misha Reviews of Modern Physics, Vol. 81, Issue 1 https://doi.org/10.1103/RevModPhys.81.163	journal	February 2009
Optically Modulated X-Ray Diffraction Freund, Isaac; Levine, B. F. Physical Review Letters, Vol. 26, Issue 3 https://doi.org/10.1103/physrevlett.26.156	journal	January 1971
Imaging Atomic Structure and Dynamics with Ultrafast X-ray Scattering Gaffney, K. J.; Chapman, H. N. Science, Vol. 316, Issue 5830 https://doi.org/10.1126/science.1135923	journal	June 2007
Quantum Simulation of Frustrated Classical Magnetism in Triangular Optical Lattices Struck, J.; Olschlager, C.; Le Targat, R. Science, Vol. 333, Issue 6045 https://doi.org/10.1126/science.1207239	journal	July 2011
Observation of Floquet-Bloch States on the Surface of a Topological Insulator Wang, Y. H.; Steinberg, H.; Jarillo-Herrero, P. Science, Vol. 342, Issue 6157, p. 453-457 https://doi.org/10.1126/science.1239834	journal	October 2013
Observation of Floquet-Bloch States on the Surface of a Topological Insulator Wang, Y. H.; Steinberg, H.; Jarillo-Herrero, P. CLEO: QELS_Fundamental Science, CLEO: 2014 https://doi.org/10.1364/cleo_qels.2014.fth3c.5	conference	January 2014
Observation of Floquet-Bloch states on the surface of a topological insulator Wang, Y. H.; Steinberg, H.; Jarillo-Herrero, P. 19th International Conference on Ultrafast Phenomena https://doi.org/10.1364/up.2014.10.thu.a.2	conference	January 2014
A brief introduction to the ABINIT software package Gonze, Xavier Zeitschrift für Kristallographie - Crystalline Materials, Vol. 220, Issue 5/6 https://doi.org/10.1524/zkri.220.5.558.65066	journal	January 2005
Attosecond physics 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 https://doi.org/10.2351/1.5061046	conference	January 2007
Impact of the Electronic Band Structure in High-Harmonic Generation Spectra of Solids Tancogne-Dejean, Nicolas; Muecke, Oliver D.; Kärtner, Franz Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2017-01144	text	January 2017
Creating stable Floquet–Weyl semimetals by laser-driving of 3D Dirac materials Hübener, Hannes; Sentef, Michael A.; De Giovannini, Umberto Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2017-10018	text	January 2017
Imaging Electron Dynamics with Ultrashort Light Pulses: A Theory Perspective Popova-Gorelova, Daria Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2018-01316	text	January 2018
Imaging Electron Dynamics with Ultrashort Light Pulses: A Theory Perspective Popova-Gorelova, Daria Applied Sciences, Vol. 8, Issue 3 https://doi.org/10.3390/app8030318	journal	February 2018
High-order harmonic generation in solids: A unifying approach Luu, Tran Trung; Wörner, Hans Jakob ETH Zurich https://doi.org/10.3929/ethz-a-010890604	text	January 2016
Electromagnetically induced transparency for x rays Buth, Christian; Santra, Robin; Young, Linda arXiv https://doi.org/10.48550/arxiv.0705.3615	text	January 2007
Photovoltaic Hall effect in graphene Oka, Takashi; Aoki, Hideo arXiv https://doi.org/10.48550/arxiv.0807.4767	text	January 2008
Diabatic Mechanisms of Higher-Order Harmonic Generation in Solid-State Materials under High-Intensity Electric Fields Tamaya, T.; Ishikawa, A.; Ogawa, T. arXiv https://doi.org/10.48550/arxiv.1701.02869	text	January 2017
Imaging Electron Dynamics with Ultrashort Light Pulses: A Theory Perspective Popova-Gorelova, Daria arXiv https://doi.org/10.48550/arxiv.1802.09266	text	January 2018
Ultrafast X-ray spectroscopy of conical intersections Neville, Simon P.; Chergui, Majed; Stolow, Albert arXiv https://doi.org/10.48550/arxiv.1805.05733	text	January 2018

Cited By (3)

Atomic-scale imaging of laser-driven electron dynamics in solids using subcycle-resolved x-ray-optical wave mixing Popova-Gorelova, Daria; Santra, Robin arXiv https://doi.org/10.48550/arxiv.2012.10334	preprint	January 2020
Theory of nonlinear interactions between x rays and optical radiation in crystals Cohen, R.; Shwartz, S. Physical Review Research, Vol. 1, Issue 3 https://doi.org/10.1103/physrevresearch.1.033133	journal	November 2019
Theory of nonlinear interactions between x rays and optical radiation in crystals Cohen, Ron; Shwartz, Sharon arXiv https://doi.org/10.48550/arxiv.1909.01662	text	January 2019

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

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