Influence of third-order susceptibility on electromagnetically induced grating in a three-level V-type atomic system
Author affiliations
DOI:
https://doi.org/10.15625/0868-3166/21530Keywords:
atomic coherenceAbstract
In addition to the suppressed absorption in the atomic resonance region, an electromagnetically induced transparency (EIT) medium also possess giant nonlinear dispersion which significantly affects the optical properties of the medium. In this work, we study the influence of third-order nonlinear susceptibility on electromagnetically induced grating (EIG) in a three-level V-type atomic medium. By applying stationary perturbation theory to the density matrix equations describing the time evolution of the quantum states of the system, we have found density matrix solutions to the third-order perturbation corresponding to the third-order susceptibility, and found the transmission function for the probe light. Using the Fourier transform of the transmission function, we can obtain the intensity distribution function of the EIG diffraction spectrum as a function of laser parameters and the atomic medium. To see the influence of third-order susceptibility on EIG diffraction spectrum, we have simulated EIG spectra in two cases with and without third-order susceptibility. We found that the first-order diffraction efficiency was significantly enhanced when third-order susceptibility was introduced.
Downloads
References
N. Bonod, J. Neauport, Diffraction gratings: from principles to applications in high-intensity lasers, Adv. Opt. Photon. 8 (2016) 156-199.
K. J. Boller, A. Imamoglu, S.E. Harris, Observation of electromagnetically induced transparency, Phys. Rev. Lett. 66 (1991) 2593.
A. Lezama, S. Barreiro, and A. M. Akulshin, “Electromagnetically induced absorption”, Phys. Rev. A 59, 4732-4735 (1999).
H. Ling, Y. -Q. Li, M. Xiao, Electromagnetically induced grating: homogeneously broadened medium, Phys. Rev. A 57 (1998) 1338-1344.
M. Mitsunaga, N. Imoto, Observation of an electromagnetically induced grating in cold sodium atoms, Phys. Rev. A 59 (1999) 4773-4776.
G. Cardoso, J. Tabosa, Electromagnetically induced gratings in a degenerate open two-level system, Phys. Rev. A 65 (2002) 033803.
B. K. Dutta, P. K. Mahapatra, Electromagnetically induced grating in a three-level -type system driven by a strong standing wave pump and weak probe fields, J. Phys. B: At. Mol. Opt. Phys. 39 (2006) 1145-1157.
S. A. Carvalho, L. E. E. de Araujo, Electromagnetically induced blazed grating at low light levels, Phys. Rev. A 83 (2011) 053825.
S. Asghar, Ziauddin, S. Qamar, S. Qamar, Electromagnetically induced grating with Rydberg atoms, Phys. Rev. A 94 (2016) 033823.
J. W. Tabosa, A. Lezama, G. Cardoso, Transient Bragg diffraction by a transferred population grating: application for cold atoms velocimetry, Opt. Commun. 165 (1999) 59-64.
D. Moretti, D. Felinto, J. W. R. Tabosa, Dynamics of a stored Zeeman coherence grating in an external magnetic field, J. Phys. B 43 (2010) 115502.
L. Zhao, W. Duan, S. F. Yelin, All-optical beam control with high speed using image-induced blazed gratings in coherent media, Phys. Rev. A 82 (2010) 013809.
J. Wen, Y. H. Zhai, S. Du, M. Xiao, Engineering biphoton wave packets with an electromagnetically induced grating, Phys. Rev. A 82 (2010) 043814.
Y. Zhang, Zh. Wu, X. Yao, Zh. Zhang, H. Chen, H. Zhang, Y. Zhang, Controlling multi-wave mixing signals via photonic band gap of electromagnetically induced absorption grating in atomic media, Opt. Express 21 (2013) 29338-29349.
T. Qiu, G. Yang, Electromagnetically induced angular Talbot effect, J. Phys. B: At. Mol. Opt. Phys. 48 (2015) 245502.
Gh. Solookinejad, M. Panahi, E. A. Sangachin, S. H. Asadpour, Plasmonic structure induced giant Goos-Hänchen shifts in a four-level quantum system, Chin. J. Phys. 54 (2016) 651-658.
R. Sadighi-Bonabi, T. Naseri, M. Navadeh-Toupchi, Electromagnetically induced grating in the microwavedriven four-level atomic systems, App. Opt. 54 (2015) 368-377.
N. Ba , X.-Y. Wu, X.-J. Liu, S.-Q. Zhang, J. Wang, Electromagnetically induced grating in an atomic system with a static magnetic field, Opt. Commun. 285 (2012) 3792-3797.
T. Naseri, R. Sadighi-Bonabi, Electromagnetically induced phase grating via population trapping condition in a microwave-driven four-level atomic system, J. Opt. Soc. Am. B 31 (2014) 2879.
N. Ba, L. Wang, X.-Y. Wu, X.-J. Liu, H.-H. Wang, C.-L. Cui, A.-J. Li, Electromagnetically induced grating based on the giant Kerr nonlinearity controlled by spontaneously generated coherence, App. Opt. 52 (2013) 4264-4272.
H. Wang, D. Goorskey, and M. Xiao, Enhanced Kerr Nonlinearity via Atomic Coherence in a Three-Level Atomic System, Phys. Rev. Lett., 87 (2001) 073601.
N. T. Anh, L. V. Doai, and N. H. Bang, “Manipulating multi-frequency light in a five-level cascade-type atomic medium associated with giant self-Kerr nonlinearity”, J. Opt. Soc. Am. B 35 (2018) 1233.
A. Hussain, M. Abbas, H.t Ali, Electromagnetically Induced Grating via Kerr nonlinearity, Doppler broadening and Spontaneously Generated Coherence, Phys. Scr. 96 (2021) 125110.
N. H. Bang, D. X. Khoa, L. V. Doai “Review: Controllable optical properties of multi-electromagnetically induced transparency gaseous atomic medium”, Communications in Physics 28, No. 4 (2019), pp. 1-33.
Downloads
Published
How to Cite
Issue
Section
License
Communications in Physics is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Copyright on any research article published in Communications in Physics is retained by the respective author(s), without restrictions. Authors grant VAST Journals System (VJS) a license to publish the article and identify itself as the original publisher. Upon author(s) by giving permission to Communications in Physics either via Communications in Physics portal or other channel to publish their research work in Communications in Physics agrees to all the terms and conditions of https://creativecommons.org/licenses/by-sa/4.0/ License and terms & condition set by VJS.
Funding data
-
Bộ Giáo dục và Ðào tạo
Grant numbers B2023-TDV-08
