Quantum interference between the optical Stark effect and resonant harmonic generation in WS2

Morrow, Darien J.; Kohler, Daniel D.; Zhao, Yuzhou; Scheeler, Jason M.; Jin, Song; Wright, John C.

doi:10.1103/physrevb.102.161401

Quantum interference between the optical Stark effect and resonant harmonic generation in WS₂

Journal Article · Fri Oct 02 00:00:00 EDT 2020 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.102.161401· OSTI ID:1850802

^[1]; ^[2]; ^[2]; Scheeler, Jason M. ^[2]; ^[2]; ^[2]

Univ. of Wisconsin, Madison, WI (United States); OSTI
Univ. of Wisconsin, Madison, WI (United States)

An applied field can modulate optical signals by resonance shifting via the Stark effect. The optical Stark effect uses ultrafast light in the transparency region of a material to shift resonances with speeds limited by the pulse duration or system coherence. In this Rapid Communication, we investigate the optical Stark effect in resonant optical harmonic generation using the A exciton transition of WS₂. Multidimensional pump-harmonic-probe measurements, in which the probe is second- or third-harmonic emission, reveal not only large Stark shifts that are commensurate with the large optical susceptibilities common to WS₂ excitons, but also behaviors more complex than simple optical Stark effect treatments predict. We show how another manifestation of the Stark effect, brought forth by coherent photon exchange between the pump and harmonic generation fundamental fields, can strongly enhance or suppress harmonic generation.

View Accepted Manuscript (DOE)

Research Organization:: University of Wisconsin, Madison, WI (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0002162

OSTI ID:: 1850802

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 16 Vol. 102; ISSN 2469-9950; ISSN PRBMDO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (77)

Femtosecond Stimulated Raman Spectroscopy Dietze, Daniel R.; Mathies, Richard A. ChemPhysChem, Vol. 17, Issue 9 https://doi.org/10.1002/cphc.201600104	journal	March 2016
"Dressed Excitons" in a Multiple-Quantum-Well Structure: Evidence for an Optical Stark Effect with Femtosecond Response Time Mysyrowicz, A.; Hulin, D.; Antonetti, A. Physical Review Letters, Vol. 56, Issue 25 https://doi.org/10.1103/physrevlett.56.2748	journal	June 1986
Femtosecond ac Stark effect in semiconductor quantum wells: Extreme low- and high-intensity limits Knox, W. H.; Chemla, D. S.; Miller, D. A. B. Physical Review Letters, Vol. 62, Issue 10 https://doi.org/10.1103/physrevlett.62.1189	journal	March 1989
Ultrafast adiabatic following in semiconductors Binder, R.; Koch, S. W.; Lindberg, M. Physical Review Letters, Vol. 65, Issue 7 https://doi.org/10.1103/physrevlett.65.899	journal	August 1990
Resonant Multiphoton Electron Emission and Stark-Tuned Third Harmonic Generation in Coupled Quantum Wells Sirtori, Carlo; Capasso, Federico; Sivco, Deborah L. Nonlinear Optics: Materials, Fundamentals, and Applications https://doi.org/10.1364/nlo.1992.tua5	conference	January 1992
Association between Serum Vitamin Levels and Depression in U.S. Adults 20 Years or Older Based on National Health and Nutrition Examination Survey 2005–2006 Huang, Xiaomin; Fan, Yun; Han, Xiumei International Journal of Environmental Research and Public Health, Vol. 15, Issue 6 https://doi.org/10.3390/ijerph15061215	journal	June 2018
Second harmonic generation spectroscopy of excitons in ZnO Lafrentz, M.; Brunne, D.; Rodina, A. V. arXiv https://doi.org/10.48550/arxiv.1308.6219	text	January 2013
Ac Stark Effects and Harmonic Generation in Periodic Potentials Holthaus, Martin; Hone, Daniel W. arXiv https://doi.org/10.48550/arxiv.cond-mat/9309049	text	January 1993
Semi-classical theory of two-photon resonant third-harmonic generation Elgin, J. N.; New, G. H. C. Optics Communications, Vol. 16, Issue 2 https://doi.org/10.1016/0030-4018(76)90227-3	journal	February 1976
AC stark effect and multiphoton processes in atoms Bakos, J. S. Physics Reports, Vol. 31, Issue 3 https://doi.org/10.1016/0370-1573(77)90016-3	journal	July 1977
Concepts and Methods of 2D Infrared Spectroscopy Hamm, Peter; Zanni, Martin Cambridge University Press https://doi.org/10.1017/CBO9780511675935	book	January 2011
Transient Two-Dimensional Electronic Spectroscopy: Coherent Dynamics at Arbitrary Times along the Reaction Coordinate Mandal, Aritra; Schultz, Jonathan D.; Wu, Yi-Lin The Journal of Physical Chemistry Letters, Vol. 10, Issue 13 https://doi.org/10.1021/acs.jpclett.9b00826	journal	June 2019
Transition Dipole Moments of n = 1, 2, and 3 Perovskite Quantum Wells from the Optical Stark Effect and Many-Body Perturbation Theory Proppe, Andrew H.; Walters, Grant W.; Alsalloum, Abdullah Y. The Journal of Physical Chemistry Letters, Vol. 11, Issue 3 https://doi.org/10.1021/acs.jpclett.9b03349	journal	January 2020
Observation of Intervalley Biexcitonic Optical Stark Effect in Monolayer WS ₂ Sie, Edbert J.; Lui, Chun Hung; Lee, Yi-Hsien Nano Letters, Vol. 16, Issue 12 https://doi.org/10.1021/acs.nanolett.6b02998	journal	November 2016
Observation of Exciton Redshift–Blueshift Crossover in Monolayer WS ₂ Sie, E. J.; Steinhoff, A.; Gies, C. Nano Letters, Vol. 17, Issue 7 https://doi.org/10.1021/acs.nanolett.7b01034	journal	June 2017
Controllable Growth and Formation Mechanisms of Dislocated WS ₂ Spirals Fan, Xiaopeng; Zhao, Yuzhou; Zheng, Weihao Nano Letters, Vol. 18, Issue 6 https://doi.org/10.1021/acs.nanolett.8b01210	journal	May 2018
Controllable Water Vapor Assisted Chemical Vapor Transport Synthesis of WS ₂ –MoS ₂ Heterostructure Zhao, Yuzhou; Jin, Song ACS Materials Letters, Vol. 2, Issue 1 https://doi.org/10.1021/acsmaterialslett.9b00415	journal	November 2019
Measurement of Ultrafast Excitonic Dynamics of Few-Layer MoS ₂ Using State-Selective Coherent Multidimensional Spectroscopy Czech, Kyle J.; Thompson, Blaise J.; Kain, Schuyler ACS Nano, Vol. 9, Issue 12 https://doi.org/10.1021/acsnano.5b05198	journal	October 2015
Broken Symmetry Induced Strong Nonlinear Optical Effects in Spiral WS ₂ Nanosheets Fan, Xiaopeng; Jiang, Ying; Zhuang, Xiujuan ACS Nano, Vol. 11, Issue 5 https://doi.org/10.1021/acsnano.7b01457	journal	April 2017
Third-Harmonic Generation in Ultrathin Films of MoS ₂ Wang, Rui; Chien, Hui-Chun; Kumar, Jatinder ACS Applied Materials & Interfaces, Vol. 6, Issue 1 https://doi.org/10.1021/am4042542	journal	December 2013
Transient 2D IR Spectroscopy of Charge Injection in Dye-Sensitized Nanocrystalline Thin Films Xiong, Wei; Laaser, Jennifer E.; Paoprasert, Peerasak Journal of the American Chemical Society, Vol. 131, Issue 50 https://doi.org/10.1021/ja908479r	journal	December 2009
Complex and Noncentrosymmetric Stacking of Layered Metal Dichalcogenide Materials Created by Screw Dislocations Shearer, Melinda J.; Samad, Leith; Zhang, Yi Journal of the American Chemical Society, Vol. 139, Issue 9 https://doi.org/10.1021/jacs.6b12559	journal	February 2017
Probing Symmetry Properties of Few-Layer MoS ₂ and h-BN by Optical Second-Harmonic Generation Li, Yilei; Rao, Yi; Mak, Kin Fai Nano Letters, Vol. 13, Issue 7 https://doi.org/10.1021/nl401561r	journal	June 2013
Probing excitonic dark states in single-layer tungsten disulphide Ye, Ziliang; Cao, Ting; O’Brien, Kevin Nature, Vol. 513, Issue 7517 https://doi.org/10.1038/nature13734	journal	August 2014
Large polarization-dependent exciton optical Stark effect in lead iodide perovskites Yang, Ye; Yang, Mengjin; Zhu, Kai Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms12613	journal	August 2016
Valley-selective optical Stark effect in monolayer WS2 Sie, Edbert J.; McIver, James W.; Lee, Yi-Hsien Nature Materials, Vol. 14, Issue 3 https://doi.org/10.1038/nmat4156	journal	December 2014
Ultrafast charge transfer in atomically thin MoS2/WS2 heterostructures Hong, Xiaoping; Kim, Jonghwan; Shi, Su-Fei Nature Nanotechnology, Vol. 9, Issue 9 https://doi.org/10.1038/nnano.2014.167	journal	August 2014
Electrical control of second-harmonic generation in a WSe2 monolayer transistor Seyler, Kyle L.; Schaibley, John R.; Gong, Pu Nature Nanotechnology, Vol. 10, Issue 5 https://doi.org/10.1038/nnano.2015.73	journal	April 2015
Population inversion and giant bandgap renormalization in atomically thin WS2 layers Chernikov, Alexey; Ruppert, Claudia; Hill, Heather M. Nature Photonics, Vol. 9, Issue 7 https://doi.org/10.1038/nphoton.2015.104	journal	June 2015
Optical modulators with 2D layered materials Sun, Zhipei; Martinez, Amos; Wang, Feng Nature Photonics, Vol. 10, Issue 4 https://doi.org/10.1038/nphoton.2016.15	journal	March 2016
High-harmonic generation from an atomically thin semiconductor Liu, Hanzhe; Li, Yilei; You, Yong Sing Nature Physics, Vol. 13, Issue 3 https://doi.org/10.1038/nphys3946	journal	November 2016
Resonant optical Stark effect in monolayer WS2 Cunningham, Paul D.; Hanbicki, Aubrey T.; Reinecke, Thomas L. Nature Communications, Vol. 10, Issue 1 https://doi.org/10.1038/s41467-019-13501-x	journal	December 2019
Valley-dependent exciton fine structure and Autler–Townes doublets from Berry phases in monolayer MoSe2 Yong, Chaw-Keong; Utama, M. Iqbal Bakti; Ong, Chin Shen Nature Materials, Vol. 18, Issue 10 https://doi.org/10.1038/s41563-019-0447-8	journal	August 2019
Biexcitonic optical Stark effects in monolayer molybdenum diselenide Yong, Chaw-Keong; Horng, Jason; Shen, Yuxia Nature Physics, Vol. 14, Issue 11 https://doi.org/10.1038/s41567-018-0216-7	journal	July 2018
High-harmonic generation from solids Ghimire, Shambhu; Reis, David A. Nature Physics, Vol. 15, Issue 1 https://doi.org/10.1038/s41567-018-0315-5	journal	November 2018
Quantum interference in second-harmonic generation from monolayer WSe2 Lin, Kai-Qiang; Bange, Sebastian; Lupton, John M. Nature Physics, Vol. 15, Issue 3 https://doi.org/10.1038/s41567-018-0384-5	journal	January 2019
Lightwave valleytronics in a monolayer of tungsten diselenide Langer, F.; Schmid, C. P.; Schlauderer, S. Nature, Vol. 557, Issue 7703 https://doi.org/10.1038/s41586-018-0013-6	journal	May 2018
SciPy 1.0: fundamental algorithms for scientific computing in Python Virtanen, Pauli; Gommers, Ralf; Oliphant, Travis E. Nature Methods https://doi.org/10.1038/s41592-019-0686-2	journal	February 2020
Resonant Stark tuning of second‐order susceptibility in coupled quantum wells Sirtori, Carlo; Capasso, Federico; Sivco, Deborah L. Applied Physics Letters, Vol. 60, Issue 2 https://doi.org/10.1063/1.106999	journal	January 1992
Efficient method for the calculation of time- and frequency-resolved four-wave mixing signals and its application to photon-echo spectroscopy Gelin, Maxim F.; Egorova, Dassia; Domcke, Wolfgang The Journal of Chemical Physics, Vol. 123, Issue 16 https://doi.org/10.1063/1.2062188	journal	October 2005
Frequency-domain coherent multidimensional spectroscopy when dephasing rivals pulsewidth: Disentangling material and instrument response Kohler, Daniel D.; Thompson, Blaise J.; Wright, John C. The Journal of Chemical Physics, Vol. 147, Issue 8 https://doi.org/10.1063/1.4986069	journal	August 2017
Communication: Multidimensional triple sum-frequency spectroscopy of MoS ₂ and comparisons with absorption and second harmonic generation spectroscopies Morrow, Darien J.; Kohler, Daniel D.; Czech, Kyle J. The Journal of Chemical Physics, Vol. 149, Issue 9 https://doi.org/10.1063/1.5047802	journal	September 2018
Dressed-atom description of resonance fluorescence and absorption spectra of a multi-level atom in an intense laser beam Cohen-Tannoudji, C.; Reynaud, S. Journal of Physics B: Atomic and Molecular Physics, Vol. 10, Issue 3 https://doi.org/10.1088/0022-3700/10/3/005	journal	February 1977
Stark Effect in Rapidly Varying Fields Autler, S. H.; Townes, C. H. Physical Review, Vol. 100, Issue 2 https://doi.org/10.1103/PhysRev.100.703	journal	October 1955
Power Spectrum of Light Scattered by Two-Level Systems Mollow, B. R. Physical Review, Vol. 188, Issue 5 https://doi.org/10.1103/PhysRev.188.1969	journal	December 1969
Application of radiative renormalization to strong-field resonant nonlinear optical interactions Blum, O.; Harshman, P.; Gustafson, T. K. Physical Review A, Vol. 47, Issue 6 https://doi.org/10.1103/PhysRevA.47.5165	journal	June 1993
Quantum interference control of carriers and currents in zinc blende semiconductors based on nonlinear absorption processes Muniz, Rodrigo A.; Salazar, Cuauhtémoc; Wang, Kai Physical Review B, Vol. 100, Issue 7 https://doi.org/10.1103/PhysRevB.100.075202	journal	August 2019
Quantum interference control of localized carrier distributions in the Brillouin zone Mahon, Perry T.; Muniz, Rodrigo A.; Sipe, J. E. Physical Review B, Vol. 100, Issue 7 https://doi.org/10.1103/PhysRevB.100.075203	journal	August 2019
Triple sum frequency pump-probe spectroscopy of transition metal dichalcogenides Morrow, Darien J.; Kohler, Daniel D.; Zhao, Yuzhou Physical Review B, Vol. 100, Issue 23 https://doi.org/10.1103/PhysRevB.100.235303	journal	December 2019
Nonequilibrium theory of the optical Stark effect and spectral hole burning in semiconductors Schmitt-Rink, S.; Chemla, D. S.; Haug, H. Physical Review B, Vol. 37, Issue 2 https://doi.org/10.1103/PhysRevB.37.941	journal	January 1988
Transient oscillations in the vicinity of excitons and in the band of semiconductors Sokoloff, J. P.; Joffre, M.; Fluegel, B. Physical Review B, Vol. 38, Issue 11 https://doi.org/10.1103/PhysRevB.38.7615	journal	October 1988
ac Stark effects and harmonic generation in periodic potentials Holthaus, Martin; Hone, Daniel W. Physical Review B, Vol. 49, Issue 23 https://doi.org/10.1103/PhysRevB.49.16605	journal	June 1994
Observation of intense second harmonic generation from MoS 2 atomic crystals Malard, Leandro M.; Alencar, Thonimar V.; Barboza, Ana Paula M. Physical Review B, Vol. 87, Issue 20 https://doi.org/10.1103/PhysRevB.87.201401	journal	May 2013
Electric field effect on optical harmonic generation at the exciton resonances in GaAs Brunne, D.; Lafrentz, M.; Pavlov, V. V. Physical Review B, Vol. 92, Issue 8 https://doi.org/10.1103/PhysRevB.92.085202	journal	August 2015
Valley-selective optical Stark effect probed by Kerr rotation LaMountain, Trevor; Bergeron, Hadallia; Balla, Itamar Physical Review B, Vol. 97, Issue 4 https://doi.org/10.1103/PhysRevB.97.045307	journal	January 2018
Magneto-Stark Effect of Excitons as the Origin of Second Harmonic Generation in ZnO Lafrentz, M.; Brunne, D.; Kaminski, B. Physical Review Letters, Vol. 110, Issue 11 https://doi.org/10.1103/PhysRevLett.110.116402	journal	March 2013
Giant Enhancement of the Optical Second-Harmonic Emission of WSe 2 Monolayers by Laser Excitation at Exciton Resonances Wang, G.; Marie, X.; Gerber, I. Physical Review Letters, Vol. 114, Issue 9 https://doi.org/10.1103/PhysRevLett.114.097403	journal	March 2015
Quantum Interference Control of Photocurrents in Semiconductors by Nonlinear Optical Absorption Processes Wang, Kai; Muniz, Rodrigo A.; Sipe, J. E. Physical Review Letters, Vol. 123, Issue 6 https://doi.org/10.1103/PhysRevLett.123.067402	journal	August 2019
"Dressed Excitons" in a Multiple-Quantum-Well Structure: Evidence for an Optical Stark Effect with Femtosecond Response Time Mysyrowicz, A.; Hulin, D.; Antonetti, A. Physical Review Letters, Vol. 56, Issue 25 https://doi.org/10.1103/PhysRevLett.56.2748	journal	June 1986
Femtosecond Studies of Coherent Transients in Semiconductors Fluegel, B.; Peyghambarian, N.; Olbright, G. Physical Review Letters, Vol. 59, Issue 22 https://doi.org/10.1103/PhysRevLett.59.2588	journal	November 1987
Dynamic Stark effect of exciton and continuum states in CdS Peyghambarian, N.; Koch, S. W.; Lindberg, M. Physical Review Letters, Vol. 62, Issue 10 https://doi.org/10.1103/PhysRevLett.62.1185	journal	March 1989
Femtosecond ac Stark effect in semiconductor quantum wells: Extreme low- and high-intensity limits Knox, W. H.; Chemla, D. S.; Miller, D. A. B. Physical Review Letters, Vol. 62, Issue 10 https://doi.org/10.1103/PhysRevLett.62.1189	journal	March 1989
Ultrafast adiabatic following in semiconductors Binder, R.; Koch, S. W.; Lindberg, M. Physical Review Letters, Vol. 65, Issue 7 https://doi.org/10.1103/PhysRevLett.65.899	journal	August 1990
Generation of Optical Harmonics Franken, P. A.; Hill, A. E.; Peters, C. W. Physical Review Letters, Vol. 7, Issue 4 https://doi.org/10.1103/PhysRevLett.7.118	journal	August 1961
Effects of Dispersion and Focusing on the Production of Optical Harmonics Maker, P. D.; Terhune, R. W.; Nisenoff, M. Physical Review Letters, Vol. 8, Issue 1 https://doi.org/10.1103/PhysRevLett.8.21	journal	January 1962
Coulomb Memory Signatures in the Excitonic Optical Stark Effect Sieh, C.; Meier, T.; Jahnke, F. Physical Review Letters, Vol. 82, Issue 15 https://doi.org/10.1103/PhysRevLett.82.3112	journal	April 1999
Dynamics of spectral hole burning Brito Cruz, C. H.; Gordon, J. P.; Becker, P. C. IEEE Journal of Quantum Electronics, Vol. 24, Issue 2 https://doi.org/10.1109/3.122	journal	February 1988
Matplotlib: A 2D Graphics Environment Hunter, John D. Computing in Science & Engineering, Vol. 9, Issue 3 https://doi.org/10.1109/MCSE.2007.55	journal	January 2007
The NumPy Array: A Structure for Efficient Numerical Computation van der Walt, Stéfan; Colbert, S. Chris; Varoquaux, Gaël Computing in Science & Engineering, Vol. 13, Issue 2 https://doi.org/10.1109/MCSE.2011.37	journal	March 2011
Comparison of quantum and semiclassical radiation theories with application to the beam maser Jaynes, E. T.; Cummings, F. W. Proceedings of the IEEE, Vol. 51, Issue 1 https://doi.org/10.1109/PROC.1963.1664	journal	January 1963
Five ways to the nonresonant dynamic Stark effect Sussman, Benjamin J. American Journal of Physics, Vol. 79, Issue 5 https://doi.org/10.1119/1.3553018	journal	May 2011
Ultrafast generation of pseudo-magnetic field for valley excitons in WSe ₂ monolayers Kim, Jonghwan; Hong, Xiaoping; Jin, Chenhao Science, Vol. 346, Issue 6214 https://doi.org/10.1126/science.1258122	journal	December 2014
Large, valley-exclusive Bloch-Siegert shift in monolayer WS ₂ Sie, Edbert J.; Lui, Chun Hung; Lee, Yi-Hsien Science, Vol. 355, Issue 6329 https://doi.org/10.1126/science.aal2241	journal	March 2017
Theory of coherent transients in semiconductor pump–probe spectroscopy Lindberg, M.; Koch, S. W. Journal of the Optical Society of America B, Vol. 5, Issue 1 https://doi.org/10.1364/JOSAB.5.000139	journal	January 1988
Coherent effects in pump–probe spectroscopy of excitons Joffre, M.; la Guillaume, C. Benoit à; Peyghambarian, N. Optics Letters, Vol. 13, Issue 4 https://doi.org/10.1364/OL.13.000276	journal	January 1988
Cross-Term Selective, Two-Pulse Correlation Measurements by Phase-Shifted Parallel Modulation for Analysis of a Multi-Photon Process Furuta, Koichi; Fuyuki, Masanori; Wada, Akihide Applied Spectroscopy, Vol. 66, Issue 12 https://doi.org/10.1366/12-06657	journal	December 2012
WrightTools: a Python package for multidimensional spectroscopy Thompson, Blaise; Sunden, Kyle; Morrow, Darien Journal of Open Source Software, Vol. 4, Issue 33 https://doi.org/10.21105/joss.01141	journal	January 2019

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Quantum interference between the optical Stark effect and resonant harmonic generation in WS2

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Quantum interference between the optical Stark effect and resonant harmonic generation in WS₂