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

Abstract

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.

Authors:
 [1];  [2];  [3]
  1. Harvard Univ., Cambridge, MA (United States)
  2. SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., Stanford, CA (United States)
  3. Univ. of Alabama at Birmingham, Birmingham, AL (United States)
Publication Date:
Research Org.:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1490060
Alternate Identifier(s):
OSTI ID: 1484416
Grant/Contract Number:  
FA9550-14-1-0035; AC02-76SF00515; AC02-05CH11231; OIA-1738698
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. B
Additional Journal Information:
Journal Volume: 98; Journal Issue: 24; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Wang, Yao, Devereaux, Thomas P., and Chen, Cheng -Chien. Theory of time-resolved Raman scattering in correlated systems: Ultrafast engineering of spin dynamics and detection of thermalization. United States: N. p., 2018. Web. doi:10.1103/physrevb.98.245106.
Wang, Yao, Devereaux, Thomas P., & Chen, Cheng -Chien. Theory of time-resolved Raman scattering in correlated systems: Ultrafast engineering of spin dynamics and detection of thermalization. United States. https://doi.org/10.1103/physrevb.98.245106
Wang, Yao, Devereaux, Thomas P., and Chen, Cheng -Chien. Tue . "Theory of time-resolved Raman scattering in correlated systems: Ultrafast engineering of spin dynamics and detection of thermalization". United States. https://doi.org/10.1103/physrevb.98.245106. https://www.osti.gov/servlets/purl/1490060.
@article{osti_1490060,
title = {Theory of time-resolved Raman scattering in correlated systems: Ultrafast engineering of spin dynamics and detection of thermalization},
author = {Wang, Yao and Devereaux, Thomas P. and Chen, Cheng -Chien},
abstractNote = {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.},
doi = {10.1103/physrevb.98.245106},
journal = {Physical Review. B},
number = 24,
volume = 98,
place = {United States},
year = {Tue Dec 04 00:00:00 EST 2018},
month = {Tue Dec 04 00:00:00 EST 2018}
}

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Works referenced in this record:

Nonthermal symmetry-broken states in the strongly interacting Hubbard model
journal, November 2012


Equilibrium states of generic quantum systems subject to periodic driving
journal, July 2014


Real-Space Visualization of Remnant Mott Gap and Magnon Excitations
journal, April 2014


ARPACK Users' Guide
book, January 1998


Light-Induced Superconductivity in a Stripe-Ordered Cuprate
journal, January 2011


On Krylov Subspace Approximations to the Matrix Exponential Operator
journal, October 1997


Producing coherent excitations in pumped Mott antiferromagnetic insulators
journal, December 2017


Ultrafast Intramolecular Proton Transfer of Alizarin Investigated by Femtosecond Stimulated Raman Spectroscopy
journal, April 2017

  • Jen, Myungsam; Lee, Sebok; Jeon, Kooknam
  • The Journal of Physical Chemistry B, Vol. 121, Issue 16
  • DOI: 10.1021/acs.jpcb.6b12408

Interaction Quench in the Hubbard Model
journal, May 2008


Quantum spin liquid emerging in two-dimensional correlated Dirac fermions
journal, April 2010


Many-body energy localization transition in periodically driven systems
journal, June 2013


Schrieffer-Wolff Transformation for Periodically Driven Systems: Strongly Correlated Systems with Artificial Gauge Fields
journal, March 2016


Time-dependent theory of Raman scattering
journal, January 1979

  • Lee, Soo-Y.; Heller, E. J.
  • The Journal of Chemical Physics, Vol. 71, Issue 12
  • DOI: 10.1063/1.438316

Resonant impulsive-stimulated Raman scattering on malachite green
journal, October 1988


Ultrafast and reversible control of the exchange interaction in Mott insulators
journal, March 2015

  • Mentink, J. H.; Balzer, K.; Eckstein, M.
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms7708

Possible light-induced superconductivity in K3C60 at high temperature
journal, February 2016

  • Mitrano, M.; Cantaluppi, A.; Nicoletti, D.
  • Nature, Vol. 530, Issue 7591
  • DOI: 10.1038/nature16522

Inelastic light scattering from correlated electrons
journal, January 2007


Ultrafast dynamics of spin and orbital correlations in quantum materials: an energy- and momentum-resolved perspective
journal, April 2019

  • Cao, Y.; Mazzone, D. G.; Meyers, D.
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 377, Issue 2145
  • DOI: 10.1098/rsta.2017.0480

Ultrafast Quenching of the Exchange Interaction in a Mott Insulator
journal, July 2014


Quantitative Determination of Quantum Fluctuations in the Spin-½ Planar Antiferromagnet
journal, June 1989


Using ultrashort terahertz pulses to directly probe spin dynamics in insulating antiferromagnets
journal, April 2018

  • Bowlan, P.; Trugman, S. A.; Yarotski, D. A.
  • Journal of Physics D: Applied Physics, Vol. 51, Issue 19
  • DOI: 10.1088/1361-6463/aab8da

Pairing symmetry in cuprate superconductors
journal, October 2000


Femtosecond multiple-pulse impulsive stimulated Raman scattering spectroscopy
journal, January 1991

  • Weiner, A. M.; Wiederrecht, Gary P.; Nelson, Keith A.
  • Journal of the Optical Society of America B, Vol. 8, Issue 6, p. 1264-1275
  • DOI: 10.1364/JOSAB.8.001264

Theory of Two-Magnon Raman Scattering in Iron Pnictides and Chalcogenides
journal, February 2011


Coherent molecular vibrational motion observed in the time domain through impulsive stimulated Raman scattering
journal, January 1988

  • Ruhman, S.; Joly, A. G.; Nelson, K. A.
  • IEEE Journal of Quantum Electronics, Vol. 24, Issue 2
  • DOI: 10.1109/3.146

Spintronics: Fundamentals and applications
journal, April 2004


Dynamical time-reversal symmetry breaking and photo-induced chiral spin liquids in frustrated Mott insulators
journal, October 2017


Electronic resonances in broadband stimulated Raman spectroscopy
journal, January 2016

  • Batignani, G.; Pontecorvo, E.; Giovannetti, G.
  • Scientific Reports, Vol. 6, Issue 1
  • DOI: 10.1038/srep18445

Spin liquids in frustrated magnets
journal, March 2010


Ultrafast energy- and momentum-resolved dynamics of magnetic correlations in the photo-doped Mott insulator Sr2IrO4
journal, May 2016

  • Dean, M. P. M.; Cao, Y.; Liu, X.
  • Nature Materials, Vol. 15, Issue 6
  • DOI: 10.1038/nmat4641

Krylov-space approach to the equilibrium and nonequilibrium single-particle Green’s function
journal, December 2011


Subpicosecond Time-Resolved Raman Spectroscopy of LO Phonons in GaAs
journal, May 1985


Towards properties on demand in quantum materials
journal, October 2017

  • Basov, D. N.; Averitt, R. D.; Hsieh, D.
  • Nature Materials, Vol. 16, Issue 11
  • DOI: 10.1038/nmat5017

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

Selective scattering between Floquet–Bloch and Volkov states in a topological insulator
journal, January 2016

  • Mahmood, Fahad; Chan, Ching-Kit; Alpichshev, Zhanybek
  • Nature Physics, Vol. 12, Issue 4
  • DOI: 10.1038/nphys3609

Spintronics: A Spin-Based Electronics Vision for the Future
journal, November 2001

  • Wolf, S. A.; Awschalom, D. D.; Buhrman, R. A.
  • Science, Vol. 294, Issue 5546, p. 1488-1495
  • DOI: 10.1126/science.1065389

Effective Hamiltonians for Rapidly Driven Many-Body Lattice Systems: Induced Exchange Interactions and Density-Dependent Hoppings
journal, August 2015


Probing ultrafast photo-induced dynamics of the exchange energy in a Heisenberg antiferromagnet
journal, July 2015


Vibronic Dynamics of the Ultrafast all- trans to 13- cis Photoisomerization of Retinal in Channelrhodopsin-1
journal, March 2016

  • Schnedermann, Christoph; Muders, Vera; Ehrenberg, David
  • Journal of the American Chemical Society, Vol. 138, Issue 14
  • DOI: 10.1021/jacs.5b12251

Paradeisos: A perfect hashing algorithm for many-body eigenvalue problems
journal, March 2018


Many-Body Localization in Periodically Driven Systems
journal, April 2015


Dynamics and Control in Complex Transition Metal Oxides
journal, July 2014


Resonant broadband stimulated Raman scattering in myoglobin: Resonant broadband stimulated Raman scattering in myoglobin
journal, February 2018

  • Ferrante, C.; Batignani, G.; Fumero, G.
  • Journal of Raman Spectroscopy, Vol. 49, Issue 6
  • DOI: 10.1002/jrs.5323

Two-magnon Raman scattering in ( La 1 x Sr x ) 2 CuO 4
journal, October 1988


Rigorous Bound on Energy Absorption and Generic Relaxation in Periodically Driven Quantum Systems
journal, March 2016


Exponentially Slow Heating in Periodically Driven Many-Body Systems
journal, December 2015


Following Photoinduced Dynamics in Bacteriorhodopsin with 7-fs Impulsive Vibrational Spectroscopy
journal, January 2007

  • Kahan, Anat; Nahmias, Omer; Friedman, Noga
  • Journal of the American Chemical Society, Vol. 129, Issue 3
  • DOI: 10.1021/ja064910d

Floquet–Magnus theory and generic transient dynamics in periodically driven many-body quantum systems
journal, April 2016


Theoretical understanding of photon spectroscopies in correlated materials in and out of equilibrium
journal, August 2018

  • Wang, Yao; Claassen, Martin; Pemmaraju, Chaitanya Das
  • Nature Reviews Materials, Vol. 3, Issue 9
  • DOI: 10.1038/s41578-018-0046-3

Pairing in a dry Fermi sea
journal, June 2016

  • Maier, T. A.; Staar, P.; Mishra, V.
  • Nature Communications, Vol. 7, Issue 1
  • DOI: 10.1038/ncomms11875

Long-time Behavior of Isolated Periodically Driven Interacting Lattice Systems
journal, December 2014


Light-Enhanced Spin Fluctuations and d -Wave Superconductivity at a Phase Boundary
journal, June 2018


A common thread: The pairing interaction for unconventional superconductors
journal, October 2012


Fate of Many-Body Localization Under Periodic Driving
journal, July 2015


Geometry and non-adiabatic response in quantum and classical systems
journal, June 2017


Works referencing / citing this record:

Analytical solution for the steady states of the driven Hubbard model
journal, January 2021