Abstract
A few-cycle ultrashort laser field propagating through strongly coupled quantum wells (CQW) is numerically investigated. The results show that the harmonic signal can be tuned by the structure-control of CQW or enhanced due to propagation effects. If the structure of the CQW is spatial inversion symmetric, a disguised harmonic at the second-order harmonic position is disclosed within the normal odd-order harmonic sequence. However, if the structure of the CQW is adjusted to break the inversion symmetry, the odd-order and even-order harmonics both occur, whose intensities are also influenced by propagation effects.
Graphical abstract
(a) Electric fields, (b) population differences, and (c) harmonic distributions for different well heights of barrier U1 at propagation distance of z = 120 µm.
Similar content being viewed by others
Data Availability Statement
This manuscript has no associated data or the data will not be deposited. [Authors’ comment: The datasets generated in this study are available from the corresponding author, C.J. Zhang, upon reasonable request.]
References
T. Brabec, F. Krausz, Rev. Mod. Phys. 72, 545 (2000)
X. Song, G. Shi, G. Zhang, J. Xu, C. Lin, J. Chen, W. Yang, Phys. Rev. Lett. 121, 103201 (2018)
X. Liu, G. Zhang, J. Li, G. Shi, M. Zhou, B. Huang, Y. Tang, X. Song, W. Yang, Phys. Rev. Lett. 124, 113202 (2020)
Y. Zhang, C. Zhang, B. Chen, Eur. Phys. J. D 75, 311 (2021)
M. Wegner, Extreme Nonlinear Optics (Springer-Verlag, Heidelberg, 2005)
S. Hughes, Phys. Rev. Lett. 81, 3363 (1998)
O.D. Mücke, T. Tritschler, M. Wegener, U. Morgner, F.X. Kärtner, Opt. Lett. 27, 2127 (2002)
T. Tritschler, O.D. Mücke, M. Wegener, U. Morgner, F.X. Kärtner, Phys. Rev. Lett. 90, 217404 (2003)
C. Zhang, M. Gu, E. Wu, Z. Hu, C.P. Liu, Phys. Rev. A 96, 033854 (2017)
O.D. Mücke, T. Tritschler, M. Wegener, U. Morgner, F.X. Kärtner, Phys. Rev. Lett. 87, 057401 (2001)
M. Sundaram, S.A. Chalmers, P.F. Hopkins, A.C. Gossard, Science 254, 1326 (1991)
A.C. Gossard, IEEE J. Quantum Electron 22, 1649 (1986)
C. Zhang, C. Liu, Opt. Express 27, 37034 (2019)
E. Paspalakis, M. Tsaousidou, A.F. Terzis, J. Appl. Phys. 100, 044312 (2006)
N. Cui, Y. Niu, H. Sun, S. Gong, Phys. Rev. B 78, 075323 (2008)
A. Olaya-Castro, M. Korkusinski, P. Hawrylak, MYu. Ivanov, Phys. Rev. B 68, 155305 (2003)
J. Wu, J. Gao, J. Xu, L. Silvestri, M. Artoni, G.C. La Rocca, F. Bassani, Phys. Rev. Lett. 95, 057401 (2005)
R. Wang, K. Guo, Z. Liu, B. Chen, Y. Zheng, Phys. Lett. A 373, 795 (2009)
B. Chen, K. Guo, Z. Liu, R. Wang, Y. Zheng, B. Li, J. Phys.: Condens. Matter 20, 255214 (2008)
C. Van Vlack, S. Hughes, Phys. Rev. Lett. 98, 167404 (2007)
W. Yang, X. Song, S. Gong, Y. Cheng, Z. Xu, Phys. Rev. Lett. 99, 133602 (2007)
V.P. Kalosha, J. Herrmann, Phys. Rev. Lett. 83, 544 (1999)
C. Zhang, E. Wu, M. Gu, C. Liu, Opt. Express 25, 21241 (2017)
Y. Chen, X. Feng, C. Liu, Phys. Rev. Lett. 117, 023901 (2016)
R.W. Ziolkowski, J.M. Arnold, D.M. Gogny, Phys. Rev. A 52, 3082 (1995)
K. Yee, IEEE Trans. Antennas Propag. 14, 302 (1966)
C.W. Luo, K. Reimann, M. Woerner, T. Elsaesser, R. Hey, K.H. Ploog, Phys. Rev. Lett. 92, 047402 (2004)
C. Zhang, W. Yang, X. Song, Z. Xu, Phys. Rev. A 79, 043823 (2009)
C. Zhang, C. Liu, Z. Xu, Phys. Rev. A 88, 035805 (2013)
R. Zuo, A. Trautmann, G. Wang, W. Hannes, S. Yang, X. Song, T. Meier, M. Ciappina, H.T. Duc, W. Yang, Ultrafast Science 2021, 9861923 (2021)
A. Shik, Quantum Well: Physics and Electronics of Two-Dimensional Systems (World Scientific, Singapore, 1997)
E. Rosencher, P. Bois, J. Nagle, E. Costard, S. Dclaitre, Appl. Phys. Lett. 55, 1597 (1989)
X. Song, S. Gong, W. Yang, Z. Xu, Phys. Rev. A 70, 013817 (2004)
Acknowledgements
The work is supported by National Natural Science Foundation of China (Grants Nos. 12174161 and 12074398).
Author information
Authors and Affiliations
Contributions
All authors contributed equally to the paper.
Corresponding author
Ethics declarations
Conflict of interest
The authors declare no conflict of interest.
Rights and permissions
About this article
Cite this article
Zhang, Y., Kuang, Y., Zhang, C. et al. Tunable enhancement of harmonic radiation in coupled quantum wells. Eur. Phys. J. D 76, 114 (2022). https://doi.org/10.1140/epjd/s10053-022-00443-1
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjd/s10053-022-00443-1