Theory of time-resolved Raman scattering in correlated systems: Ultrafast engineering of spin dynamics and detection of thermalization

Wang, Yao; Devereaux, Thomas P.; Chen, Cheng -Chien

doi:10.1103/physrevb.98.245106

Title: Theory of time-resolved Raman scattering in correlated systems: Ultrafast engineering of spin dynamics and detection of thermalization

Journal Article · 03 December 2018 · Physical Review. B

DOI: https://doi.org/10.1103/physrevb.98.245106 · OSTI ID:1490060

Wang, Yao ^[1]; Devereaux, Thomas P. ^[2]; Chen, Cheng -Chien ^[3]

Harvard Univ., Cambridge, MA (United States)
SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., Stanford, CA (United States)
Univ. of Alabama at Birmingham, Birmingham, AL (United States)

Ultrafast characterization and control of many-body interactions and elementary excitations are critical to understanding and manipulating emergent phenomena in strongly correlated systems. In particular, spin interaction plays an important role in unconventional superconductivity, but efficient tools for probing spin dynamics, especially out of equilibrium, are still lacking. To address this question, we develop a theory for nonresonant time-resolved Raman scattering, which can be a generic and powerful tool for nonequilibrium studies. We also use exact diagonalization to simulate the pump-probe dynamics of correlated electrons in the square-lattice single-band Hubbard model. Different ultrafast processes are shown to exist in the time-resolved Raman spectra and dominate under different pump conditions. For high-frequency and off-resonance pumps, we show that the Floquet theory works well in capturing the softening of bimagnon excitation. By comparing the Stokes and anti-Stokes spectra, we also show that effective heating dominates at small pump fluences, while a coherent many-body effect starts to take over at larger pump amplitudes and frequencies on resonance to the Mott gap. In conclusion, time-resolved Raman scattering thereby provides the platform to explore different ultrafast processes and design material properties out of equilibrium.

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Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

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

Grant/Contract Number:: AC02-05CH11231; AC02-76SF00515

OSTI ID:: 1490060

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 24 Vol. 98; ISSN 2469-9950; ISSN PRBMDO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (55)

Geometry and non-adiabatic response in quantum and classical systems Kolodrubetz, Michael; Sels, Dries; Mehta, Pankaj Physics Reports, Vol. 697 https://doi.org/10.1016/j.physrep.2017.07.001	journal	June 2017
Resonant broadband stimulated Raman scattering in myoglobin: Resonant broadband stimulated Raman scattering in myoglobin Ferrante, C.; Batignani, G.; Fumero, G. Journal of Raman Spectroscopy, Vol. 49, Issue 6 https://doi.org/10.1002/jrs.5323	journal	February 2018
Many-body energy localization transition in periodically driven systems D’Alessio, Luca; Polkovnikov, Anatoli Annals of Physics, Vol. 333 https://doi.org/10.1016/j.aop.2013.02.011	journal	June 2013
Floquet–Magnus theory and generic transient dynamics in periodically driven many-body quantum systems Kuwahara, Tomotaka; Mori, Takashi; Saito, Keiji Annals of Physics, Vol. 367 https://doi.org/10.1016/j.aop.2016.01.012	journal	April 2016
Paradeisos: A perfect hashing algorithm for many-body eigenvalue problems Jia, C. J.; Wang, Y.; Mendl, C. B. Computer Physics Communications, Vol. 224 https://doi.org/10.1016/j.cpc.2017.11.011	journal	March 2018
Ultrafast Intramolecular Proton Transfer of Alizarin Investigated by Femtosecond Stimulated Raman Spectroscopy Jen, Myungsam; Lee, Sebok; Jeon, Kooknam The Journal of Physical Chemistry B, Vol. 121, Issue 16 https://doi.org/10.1021/acs.jpcb.6b12408	journal	April 2017
Following Photoinduced Dynamics in Bacteriorhodopsin with 7-fs Impulsive Vibrational Spectroscopy Kahan, Anat; Nahmias, Omer; Friedman, Noga Journal of the American Chemical Society, Vol. 129, Issue 3 https://doi.org/10.1021/ja064910d	journal	January 2007
Vibronic Dynamics of the Ultrafast all- trans to 13- cis Photoisomerization of Retinal in Channelrhodopsin-1 Schnedermann, Christoph; Muders, Vera; Ehrenberg, David Journal of the American Chemical Society, Vol. 138, Issue 14 https://doi.org/10.1021/jacs.5b12251	journal	March 2016
Spin liquids in frustrated magnets Balents, Leon Nature, Vol. 464, Issue 7286 https://doi.org/10.1038/nature08917	journal	March 2010
Quantum spin liquid emerging in two-dimensional correlated Dirac fermions Meng, Z. Y.; Lang, T. C.; Wessel, S. Nature, Vol. 464, Issue 7290 https://doi.org/10.1038/nature08942	journal	April 2010
Possible light-induced superconductivity in K3C60 at high temperature Mitrano, M.; Cantaluppi, A.; Nicoletti, D. Nature, Vol. 530, Issue 7591 https://doi.org/10.1038/nature16522	journal	February 2016
Pairing in a dry Fermi sea Maier, T. A.; Staar, P.; Mishra, V. Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms11875	journal	June 2016
Ultrafast and reversible control of the exchange interaction in Mott insulators Mentink, J. H.; Balzer, K.; Eckstein, M. Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms7708	journal	March 2015
Ultrafast energy- and momentum-resolved dynamics of magnetic correlations in the photo-doped Mott insulator Sr2IrO4 Dean, M. P. M.; Cao, Y.; Liu, X. Nature Materials, Vol. 15, Issue 6 https://doi.org/10.1038/nmat4641	journal	May 2016
Towards properties on demand in quantum materials Basov, D. N.; Averitt, R. D.; Hsieh, D. Nature Materials, Vol. 16, Issue 11 https://doi.org/10.1038/nmat5017	journal	October 2017
Probing ultrafast photo-induced dynamics of the exchange energy in a Heisenberg antiferromagnet Batignani, G.; Bossini, D.; Di Palo, N. Nature Photonics, Vol. 9, Issue 8 https://doi.org/10.1038/nphoton.2015.121	journal	July 2015
Selective scattering between Floquet–Bloch and Volkov states in a topological insulator Mahmood, Fahad; Chan, Ching-Kit; Alpichshev, Zhanybek Nature Physics, Vol. 12, Issue 4 https://doi.org/10.1038/nphys3609	journal	January 2016
Dynamical time-reversal symmetry breaking and photo-induced chiral spin liquids in frustrated Mott insulators Claassen, Martin; Jiang, Hong-Chen; Moritz, Brian Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/s41467-017-00876-y	journal	October 2017
Theoretical understanding of photon spectroscopies in correlated materials in and out of equilibrium Wang, Yao; Claassen, Martin; Pemmaraju, Chaitanya Das Nature Reviews Materials, Vol. 3, Issue 9 https://doi.org/10.1038/s41578-018-0046-3	journal	August 2018
Electronic resonances in broadband stimulated Raman spectroscopy Batignani, G.; Pontecorvo, E.; Giovannetti, G. Scientific Reports, Vol. 6, Issue 1 https://doi.org/10.1038/srep18445	journal	January 2016
Time-dependent theory of Raman scattering Lee, Soo-Y.; Heller, E. J. The Journal of Chemical Physics, Vol. 71, Issue 12 https://doi.org/10.1063/1.438316	journal	January 1979
Krylov-space approach to the equilibrium and nonequilibrium single-particle Green’s function Balzer, Matthias; Gdaniec, Nadine; Potthoff, Michael Journal of Physics: Condensed Matter, Vol. 24, Issue 3 https://doi.org/10.1088/0953-8984/24/3/035603	journal	December 2011
Using ultrashort terahertz pulses to directly probe spin dynamics in insulating antiferromagnets Bowlan, P.; Trugman, S. A.; Yarotski, D. A. Journal of Physics D: Applied Physics, Vol. 51, Issue 19 https://doi.org/10.1088/1361-6463/aab8da	journal	April 2018
Ultrafast dynamics of spin and orbital correlations in quantum materials: an energy- and momentum-resolved perspective Cao, Y.; Mazzone, D. G.; Meyers, D. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 377, Issue 2145 https://doi.org/10.1098/rsta.2017.0480	journal	April 2019
Resonant impulsive-stimulated Raman scattering on malachite green Chesnoy, J.; Mokhtari, A. Physical Review A, Vol. 38, Issue 7 https://doi.org/10.1103/PhysRevA.38.3566	journal	October 1988
Two-magnon Raman scattering in ( La 1 − x Sr x ) 2 CuO 4 Sugai, Shunji; Shamoto, Shin-ichi; Sato, Masatoshi Physical Review B, Vol. 38, Issue 10 https://doi.org/10.1103/PhysRevB.38.6436	journal	October 1988
Nonthermal symmetry-broken states in the strongly interacting Hubbard model Werner, Philipp; Tsuji, Naoto; Eckstein, Martin Physical Review B, Vol. 86, Issue 20 https://doi.org/10.1103/PhysRevB.86.205101	journal	November 2012
Producing coherent excitations in pumped Mott antiferromagnetic insulators Wang, Yao; Claassen, Martin; Moritz, B. Physical Review B, Vol. 96, Issue 23 https://doi.org/10.1103/PhysRevB.96.235142	journal	December 2017
Equilibrium states of generic quantum systems subject to periodic driving Lazarides, Achilleas; Das, Arnab; Moessner, Roderich Physical Review E, Vol. 90, Issue 1 https://doi.org/10.1103/PhysRevE.90.012110	journal	July 2014
Interaction Quench in the Hubbard Model Moeckel, Michael; Kehrein, Stefan Physical Review Letters, Vol. 100, Issue 17 https://doi.org/10.1103/PhysRevLett.100.175702	journal	May 2008
Theory of Two-Magnon Raman Scattering in Iron Pnictides and Chalcogenides Chen, C. -C.; Jia, C. J.; Kemper, A. F. Physical Review Letters, Vol. 106, Issue 6 https://doi.org/10.1103/PhysRevLett.106.067002	journal	February 2011
Real-Space Visualization of Remnant Mott Gap and Magnon Excitations Wang, Y.; Jia, C. J.; Moritz, B. Physical Review Letters, Vol. 112, Issue 15 https://doi.org/10.1103/PhysRevLett.112.156402	journal	April 2014
Ultrafast Quenching of the Exchange Interaction in a Mott Insulator Mentink, J. H.; Eckstein, M. Physical Review Letters, Vol. 113, Issue 5 https://doi.org/10.1103/PhysRevLett.113.057201	journal	July 2014
Many-Body Localization in Periodically Driven Systems Ponte, Pedro; Papić, Z.; Huveneers, François Physical Review Letters, Vol. 114, Issue 14 https://doi.org/10.1103/PhysRevLett.114.140401	journal	April 2015
Fate of Many-Body Localization Under Periodic Driving Lazarides, Achilleas; Das, Arnab; Moessner, Roderich Physical Review Letters, Vol. 115, Issue 3 https://doi.org/10.1103/PhysRevLett.115.030402	journal	July 2015
Effective Hamiltonians for Rapidly Driven Many-Body Lattice Systems: Induced Exchange Interactions and Density-Dependent Hoppings Itin, A. P.; Katsnelson, M. I. Physical Review Letters, Vol. 115, Issue 7 https://doi.org/10.1103/PhysRevLett.115.075301	journal	August 2015
Exponentially Slow Heating in Periodically Driven Many-Body Systems Abanin, Dmitry A.; De Roeck, Wojciech; Huveneers, François Physical Review Letters, Vol. 115, Issue 25 https://doi.org/10.1103/PhysRevLett.115.256803	journal	December 2015
Rigorous Bound on Energy Absorption and Generic Relaxation in Periodically Driven Quantum Systems Mori, Takashi; Kuwahara, Tomotaka; Saito, Keiji Physical Review Letters, Vol. 116, Issue 12 https://doi.org/10.1103/PhysRevLett.116.120401	journal	March 2016
Schrieffer-Wolff Transformation for Periodically Driven Systems: Strongly Correlated Systems with Artificial Gauge Fields Bukov, Marin; Kolodrubetz, Michael; Polkovnikov, Anatoli Physical Review Letters, Vol. 116, Issue 12 https://doi.org/10.1103/PhysRevLett.116.125301	journal	March 2016
Light-Enhanced Spin Fluctuations and d -Wave Superconductivity at a Phase Boundary Wang, Yao; Chen, Cheng-Chien; Moritz, B. Physical Review Letters, Vol. 120, Issue 24 https://doi.org/10.1103/PhysRevLett.120.246402	journal	June 2018
Subpicosecond Time-Resolved Raman Spectroscopy of LO Phonons in GaAs Kash, J. A.; Tsang, J. C.; Hvam, J. M. Physical Review Letters, Vol. 54, Issue 19 https://doi.org/10.1103/PhysRevLett.54.2151	journal	May 1985
Quantitative Determination of Quantum Fluctuations in the Spin-½ Planar Antiferromagnet Singh, R. R. P.; Fleury, P. A.; Lyons, K. B. Physical Review Letters, Vol. 62, Issue 23 https://doi.org/10.1103/PhysRevLett.62.2736	journal	June 1989
Long-time Behavior of Isolated Periodically Driven Interacting Lattice Systems D’Alessio, Luca; Rigol, Marcos Physical Review X, Vol. 4, Issue 4 https://doi.org/10.1103/PhysRevX.4.041048	journal	December 2014
Pairing symmetry in cuprate superconductors Tsuei, C. C.; Kirtley, J. R. Reviews of Modern Physics, Vol. 72, Issue 4, p. 969-1016 https://doi.org/10.1103/RevModPhys.72.969	journal	October 2000
Spintronics: Fundamentals and applications Žutić, Igor; Fabian, Jaroslav; Das Sarma, S. Reviews of Modern Physics, Vol. 76, Issue 2 https://doi.org/10.1103/RevModPhys.76.323	journal	April 2004
Inelastic light scattering from correlated electrons Devereaux, Thomas P.; Hackl, Rudi Reviews of Modern Physics, Vol. 79, Issue 1 https://doi.org/10.1103/RevModPhys.79.175	journal	January 2007
A common thread: The pairing interaction for unconventional superconductors Scalapino, D. J. Reviews of Modern Physics, Vol. 84, Issue 4 https://doi.org/10.1103/RevModPhys.84.1383	journal	October 2012
Coherent molecular vibrational motion observed in the time domain through impulsive stimulated Raman scattering Ruhman, S.; Joly, A. G.; Nelson, K. A. IEEE Journal of Quantum Electronics, Vol. 24, Issue 2 https://doi.org/10.1109/3.146	journal	January 1988
Spintronics: A Spin-Based Electronics Vision for the Future Wolf, S. A.; Awschalom, D. D.; Buhrman, R. A. Science, Vol. 294, Issue 5546, p. 1488-1495 https://doi.org/10.1126/science.1065389	journal	November 2001
Light-Induced Superconductivity in a Stripe-Ordered Cuprate Fausti, D.; Tobey, R. I.; Dean, N. Science, Vol. 331, Issue 6014 https://doi.org/10.1126/science.1197294	journal	January 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
ARPACK Users' Guide Lehoucq, R. B.; Sorensen, D. C.; Yang, C. Software, Environments, and Tools https://doi.org/10.1137/1.9780898719628	book	January 1998
On Krylov Subspace Approximations to the Matrix Exponential Operator Hochbruck, Marlis; Lubich, Christian SIAM Journal on Numerical Analysis, Vol. 34, Issue 5 https://doi.org/10.1137/S0036142995280572	journal	October 1997
Dynamics and Control in Complex Transition Metal Oxides Zhang, J.; Averitt, R. D. Annual Review of Materials Research, Vol. 44, Issue 1 https://doi.org/10.1146/annurev-matsci-070813-113258	journal	July 2014
Femtosecond multiple-pulse impulsive stimulated Raman scattering spectroscopy Weiner, A. M.; Wiederrecht, Gary P.; Nelson, Keith A. Journal of the Optical Society of America B, Vol. 8, Issue 6, p. 1264-1275 https://doi.org/10.1364/JOSAB.8.001264	journal	January 1991

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