Extraction of higher-order nonlinear electronic response in solids using high harmonic generation
Abstract
Nonlinear susceptibilities are key to ultrafast lightwave driven optoelectronics, allowing petahertz scaling manipulation of the signal. Recent experiments retrieved a 3rd order nonlinear susceptibility by comparing the nonlinear response induced by a strong laser field to a linear response induced by the otherwise identical weak field. The highly nonlinear nature of high harmonic generation (HHG) has the potential to extract even higher order nonlinear susceptibility terms. However, up till now, such characterization has been elusive due to a lack of direct correspondence between high harmonics and nonlinear susceptibilities. Here, we demonstrate a regime where such correspondence can be clearly made, extracting nonlinear susceptibilities (7th, 9th, and 11th) from sapphire of the same order as the measured high harmonics. The extracted high order susceptibilities show angular-resolved periodicities arising from variation in the band structure with crystal orientation. Our results open a door to multi-channel signal processing, controlled by laser polarization.
- Authors:
-
- Korea Advanced Inst. Science and Technology (KAIST), Daejeon (Korea, Republic of). Dept. of Mechanical Engineering; Univ. of Central Florida, Orlando, FL (United States), Institute for the Frontier of Attosecond Science and Technology, CREOL and Department of Physics
- Max Planck Inst. for the Physics of Complex Systems, Dresden (Germany)
- Korea Advanced Inst. Science and Technology (KAIST), Daejeon (Korea, Republic of). Dept. of Mechanical Engineering
- Max Planck Inst. for the Physics of Complex Systems, Dresden (Germany); Max Planck Inst. for Chemical Physics of Solids, Dresden (Germany)
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Center for Nonlinear Studies, Physics and Chemistry of Materials
- Univ. of Oxford (United Kingdom). Mathematical Institute
- Institute of Physics of the ASCR, Prague (Czechia)
- ICFO – Institut de Ciències Fotòniques, The Barcelona Institute of Science and Technology, Castelldefels (Barcelona) (Spain) ICREA – Institució Catalana de Recerca i Estudis Avançats, Barcelona (Spain)
- Pusan National Univ., Busan (Korea, Republic of). Dept. of Optics and Mechatronics Engineering, College of Nanoscience and Nanotechnology
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1624172
- Grant/Contract Number:
- AC52-06NA25396; RF-2012R1A3A1050386; NRF-2017M3D1A1039287; NRF-2018R1A4A1025623
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Nature Communications
- Additional Journal Information:
- Journal Volume: 10; Journal Issue: 1; Journal ID: ISSN 2041-1723
- Publisher:
- Nature Publishing Group
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 42 ENGINEERING; Science & Technology - Other Topics
Citation Formats
Han, Seunghwoi, Ortmann, Lisa, Kim, Hyunwoong, Kim, Yong Woo, Oka, Takashi, Chacon, Alexis, Doran, Brent, Ciappina, Marcelo, Lewenstein, Maciej, Kim, Seung-Woo, Kim, Seungchul, and Landsman, Alexandra S. Extraction of higher-order nonlinear electronic response in solids using high harmonic generation. United States: N. p., 2019.
Web. doi:10.1038/s41467-019-11096-x.
Han, Seunghwoi, Ortmann, Lisa, Kim, Hyunwoong, Kim, Yong Woo, Oka, Takashi, Chacon, Alexis, Doran, Brent, Ciappina, Marcelo, Lewenstein, Maciej, Kim, Seung-Woo, Kim, Seungchul, & Landsman, Alexandra S. Extraction of higher-order nonlinear electronic response in solids using high harmonic generation. United States. https://doi.org/10.1038/s41467-019-11096-x
Han, Seunghwoi, Ortmann, Lisa, Kim, Hyunwoong, Kim, Yong Woo, Oka, Takashi, Chacon, Alexis, Doran, Brent, Ciappina, Marcelo, Lewenstein, Maciej, Kim, Seung-Woo, Kim, Seungchul, and Landsman, Alexandra S. Mon .
"Extraction of higher-order nonlinear electronic response in solids using high harmonic generation". United States. https://doi.org/10.1038/s41467-019-11096-x. https://www.osti.gov/servlets/purl/1624172.
@article{osti_1624172,
title = {Extraction of higher-order nonlinear electronic response in solids using high harmonic generation},
author = {Han, Seunghwoi and Ortmann, Lisa and Kim, Hyunwoong and Kim, Yong Woo and Oka, Takashi and Chacon, Alexis and Doran, Brent and Ciappina, Marcelo and Lewenstein, Maciej and Kim, Seung-Woo and Kim, Seungchul and Landsman, Alexandra S.},
abstractNote = {Nonlinear susceptibilities are key to ultrafast lightwave driven optoelectronics, allowing petahertz scaling manipulation of the signal. Recent experiments retrieved a 3rd order nonlinear susceptibility by comparing the nonlinear response induced by a strong laser field to a linear response induced by the otherwise identical weak field. The highly nonlinear nature of high harmonic generation (HHG) has the potential to extract even higher order nonlinear susceptibility terms. However, up till now, such characterization has been elusive due to a lack of direct correspondence between high harmonics and nonlinear susceptibilities. Here, we demonstrate a regime where such correspondence can be clearly made, extracting nonlinear susceptibilities (7th, 9th, and 11th) from sapphire of the same order as the measured high harmonics. The extracted high order susceptibilities show angular-resolved periodicities arising from variation in the band structure with crystal orientation. Our results open a door to multi-channel signal processing, controlled by laser polarization.},
doi = {10.1038/s41467-019-11096-x},
journal = {Nature Communications},
number = 1,
volume = 10,
place = {United States},
year = {Mon Jul 22 00:00:00 EDT 2019},
month = {Mon Jul 22 00:00:00 EDT 2019}
}
Web of Science
Works referenced in this record:
Strong-Field Perspective on High-Harmonic Radiation from Bulk Solids
journal, November 2014
- Higuchi, Takuya; Stockman, Mark I.; Hommelhoff, Peter
- Physical Review Letters, Vol. 113, Issue 21
Spectral Interference in High Harmonic Generation from Solids
journal, March 2019
- Kim, Yong Woo; Shao, Tian-Jiao; Kim, Hyunwoong
- ACS Photonics, Vol. 6, Issue 4
Attosecond optical-field-enhanced carrier injection into the GaAs conduction band
journal, March 2018
- Schlaepfer, F.; Lucchini, M.; Sato, S. A.
- Nature Physics, Vol. 14, Issue 6
Linking high harmonics from gases and solids
journal, June 2015
- Vampa, G.; Hammond, T. J.; Thiré, N.
- Nature, Vol. 522, Issue 7557
Resolving the attosecond beat
journal, September 2016
- Krüger, Michael; Dudovich, Nirit
- Nature Photonics, Vol. 10, Issue 10
Solid-state harmonics beyond the atomic limit
journal, June 2016
- Ndabashimiye, Georges; Ghimire, Shambhu; Wu, Mengxi
- Nature, Vol. 534, Issue 7608
Optical-field-induced current in dielectrics
journal, December 2012
- Schiffrin, Agustin; Paasch-Colberg, Tim; Karpowicz, Nicholas
- Nature, Vol. 493, Issue 7430
Attosecond nonlinear polarization and light–matter energy transfer in solids
journal, May 2016
- Sommer, A.; Bothschafter, E. M.; Sato, S. A.
- Nature, Vol. 534, Issue 7605
Attosecond metrology: from electron capture to future signal processing
journal, February 2014
- Krausz, Ferenc; Stockman, Mark I.
- Nature Photonics, Vol. 8, Issue 3
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
Extreme ultraviolet high-harmonic spectroscopy of solids
journal, May 2015
- Luu, T. T.; Garg, M.; Kruchinin, S. Yu.
- Nature, Vol. 521, Issue 7553
The roles of photo-carrier doping and driving wavelength in high harmonic generation from a semiconductor
journal, November 2017
- Wang, Zhou; Park, Hyunwook; Lai, Yu Hang
- Nature Communications, Vol. 8, Issue 1
Multi-petahertz electronic metrology
journal, October 2016
- Garg, M.; Zhan, M.; Luu, T. T.
- Nature, Vol. 538, Issue 7625
Plasma perspective on strong field multiphoton ionization
journal, September 1993
- Corkum, P. B.
- Physical Review Letters, Vol. 71, Issue 13
Real-time observation of interfering crystal electrons in high-harmonic generation
journal, July 2015
- Hohenleutner, M.; Langer, F.; Schubert, O.
- Nature, Vol. 523, Issue 7562
Anisotropic high-harmonic generation in bulk crystals
journal, November 2016
- You, Yong Sing; Reis, David A.; Ghimire, Shambhu
- Nature Physics, Vol. 13, Issue 4
Theory of high-harmonic generation by low-frequency laser fields
journal, March 1994
- Lewenstein, M.; Balcou, Ph.; Ivanov, M. Yu.
- Physical Review A, Vol. 49, Issue 3
Sub-cycle control of terahertz high-harmonic generation by dynamical Bloch oscillations
journal, January 2014
- Schubert, O.; Hohenleutner, M.; Langer, F.
- Nature Photonics, Vol. 8, Issue 2
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
Semiclassical analysis of high harmonic generation in bulk crystals
journal, February 2015
- Vampa, G.; McDonald, C. R.; Orlando, G.
- Physical Review B, Vol. 91, Issue 6
Theoretical Analysis of High-Harmonic Generation in Solids
journal, August 2014
- Vampa, G.; McDonald, C. R.; Orlando, G.
- Physical Review Letters, Vol. 113, Issue 7
Attosecond optical-field-enhanced carrier injection into the GaAs conduction band
text, January 2018
- Fabian, Schlaepfer,; Matteo, Lucchini,; A., Sato, Shunsuke
- ETH Zurich
Optical-field-induced current in dielectrics
conference, January 2013
- Paasch-Colberg, Tim; Schiffrin, Agustin; Karpowicz, Nicholas
- CLEO: QELS_Fundamental Science, CLEO: 2013
Real-time Observation of interfering Crystal electroncs in high-harmonic Generation
text, January 2015
- Hohenleutner, Matthias; Langer, Fabian; Schubert, Olaf
- Universität Regensburg
Optical-field-induced current in dielectrics
journal, December 2012
- Schiffrin, Agustin; Paasch-Colberg, Tim; Karpowicz, Nicholas
- Nature, Vol. 493, Issue 7430
Linking high harmonics from gases and solids
journal, June 2015
- Vampa, G.; Hammond, T. J.; Thiré, N.
- Nature, Vol. 522, Issue 7557
Real-time observation of interfering crystal electrons in high-harmonic generation
journal, July 2015
- Hohenleutner, M.; Langer, F.; Schubert, O.
- Nature, Vol. 523, Issue 7562
Attosecond nonlinear polarization and light–matter energy transfer in solids
journal, May 2016
- Sommer, A.; Bothschafter, E. M.; Sato, S. A.
- Nature, Vol. 534, Issue 7605
Solid-state harmonics beyond the atomic limit
journal, June 2016
- Ndabashimiye, Georges; Ghimire, Shambhu; Wu, Mengxi
- Nature, Vol. 534, Issue 7608
Attosecond metrology: from electron capture to future signal processing
journal, February 2014
- Krausz, Ferenc; Stockman, Mark I.
- Nature Photonics, Vol. 8, Issue 3
Resolving the attosecond beat
journal, September 2016
- Krüger, Michael; Dudovich, Nirit
- Nature Photonics, Vol. 10, Issue 10
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
Anisotropic high-harmonic generation in bulk crystals
journal, November 2016
- You, Yong Sing; Reis, David A.; Ghimire, Shambhu
- Nature Physics, Vol. 13, Issue 4
The roles of photo-carrier doping and driving wavelength in high harmonic generation from a semiconductor
journal, November 2017
- Wang, Zhou; Park, Hyunwook; Lai, Yu Hang
- Nature Communications, Vol. 8, Issue 1
Above threshold ionization beyond the high harmonic cutoff
journal, March 1993
- Schafer, K. J.; Yang, Baorui; DiMauro, L. F.
- Physical Review Letters, Vol. 70, Issue 11
Attosecond optical-field-enhanced carrier injection into the GaAs conduction band
text, January 2018
- Fabian, Schlaepfer,; Matteo, Lucchini,; A., Sato, Shunsuke
- ETH Zurich
Strong-Field Perspective on High-Harmonic Radiation from Bulk Solids
text, January 2014
- Higuchi, Takuya; Stockman, Mark I.; Hommelhoff, Peter
- arXiv
Sub-cycle control of terahertz high-harmonic generation by dynamical Bloch oscillations
text, January 2016
- Schubert, O.; Hohenleutner, M.; Langer, F.
- arXiv
Spectral Interference in High Harmonic Generation from Solids
preprint, January 2019
- Kim, Yong Woo; Shao, Tian-Jiao; Kim, Hyunwoong
- arXiv