48th Vietnam Conference on Theoretical Physics (VCTP48)
Hội nghị Vật lý lý thuyết Việt Nam lần thứ 48
Đà Nẵng, 31 July  3 August, 2023

ProgrammeP.42  Poster, VCTP48 Date: Thursday, 3 August 2023 Time: 08:30  10:00 Influence of Kerr nonlinearity on electromagnetically induced grating in a threelevel lambdatype atomic systemLe Van Doai, Luong Thi Yen Nga and Ho Hai Quang Vinh University, 182 Le Duan Street, Vinh City, Vietnam Diffraction grating is commonly used as dispersive elements in many optical systems for applications including spectrometers, switching, tuning and trimming elements in dense wavelengthdivision multiplexing, visual display technology, external cavity lasers, etc., [1]. The diffraction efficiency of grating is an important parameter since it will strongly influence the final energy delivered by the optical diffraction system. The coherent interaction between the laser fields with the atom can lead to quantum interference of transition probabilities within the atomic system. The consequence of this quantum interference is to suppress (destructive interference) or enhance (constructive interference) the total transition probability and thus radically change the absorption or transmission property of the atomic medium for a light field. The constructive interference of transition probabilities generates electromagnetically induced transparency (EIT) [2]. Under the EIT condition, the medium forms peculiar optical properties and thus it offers unusual applications such as [3] giant nonlinearity, low threshold optical bistability, and so on. Currently, based on the EIT effect, an atom sample can behave like a diffraction grating which is called an electromagnetically induced grating (EIG) [4]. EIG was first proposed in 1998 [4] and experimentally verified in 1999 [5]. Since then, theoretical and experimental studies of EIG have attracted great attentions [610] due to their potential applications in many fields, such as atoms velocimetry [11], light storage [12], beam splitting and fanning [13], shaping a biphoton spectrum [14], controlling multiwave mixing processes [15], angular Talbot effect [16] and giant Goos–Hänchen shifts [17]. Recently, EIG efficiency has been greatly improved in different atomic systems with the support of other external fields such as microwave field [18] and magnetic field [19], Kerr nonlinearity [20]. In this work, we study the influence of giant Kerr nonlinearity on diffraction pattern of EIG in a threelevel lambdatype atomic system. It shows that the efficiency of EIG is significantly improved in the presence of Kerr nonlinearity. The influence of pump laser parameters on EIG efficiency is also considered. References [1] N. Bonod, J. Neauport, “Diffraction gratings: from principles to applications in highintensity lasers”, Adv. Opt. Photon. 8, 156199 (2016). [2] K. J. Boller, A. Imamoglu, S.E. Harris, Observation of electromagnetically induced transparency, Phys. Rev. Lett. 66, 2593 (1991). [3] H. Ling, Y.Q. Li, and M. Xiao, “Electromagnetically induced grating: homogeneously broadened medium,” Phys. Rev. A 57, 13381344 (1998). [4] N. H. Bang, L. V. Doai and D. X Khoa, “Controllable optical properties of multiple electromagnetically induced transparency in gaseous atomic media”, Comm. Phys. 28, 133 (2019). [5] M. Mitsunaga and N. Imoto, “Observation of an electromagnetically induced grating in cold sodium atoms,” Phys. Rev. A 59, 47734776 (1999). [6] G. Cardoso and J. Tabosa, “Electromagnetically induced gratings in a degenerate open twolevel system,” Phys. Rev. A 65, 033803 (2002). [7] B. K. Dutta and P. K. Mahapatra, “Electromagnetically induced grating in a threelevel type system driven by a strong standing wave pump and weak probe fields”, J. Phys. B: At. Mol. Opt. Phys. 39, 11451157 (2006). [8] S. A. Carvalho and L. E. E. de Araujo, “Electromagnetically induced blazed grating at low light levels”, Phys. Rev. A 83, 053825 (2011). [9] S. Asghar, Ziauddin, S. Qamar, and S. Qamar, “Electromagnetically induced grating with Rydberg atoms”, Phys. Rev. A 94, 033823 (2016). [10] T. Naseri, “Optical properties and electromagnetically induced grating in a hybrid semiconductor quantum dotmetallic nanorod system”, Physics Letters A 384, 126164 (2020). [11] J. W. Tabosa, A. Lezama, and G. Cardoso, “Transient Bragg diffraction by a transferred population grating: application for cold atoms velocimetry,” Opt. Commun. 165, 5964 (1999). [12] D. Moretti, D. Felinto, J. W. R. Tabosa, “Dynamics of a stored Zeeman coherence grating in an external magnetic field”, J. Phys. B 43, 115502 (2010). [13] L. Zhao, W. Duan, and S. F. Yelin, “Alloptical beam control with high speed using imageinduced blazed gratings in coherent media,” Phys. Rev. A 82, 013809 (2010). [14] J. Wen, Y. H. Zhai, S. Du, and M. Xiao, “Engineering biphoton wave packets with an electromagnetically induced grating,” Phys. Rev. A 82, 043814 (2010). [15] Y. Zhang, Zh. Wu, X. Yao, Zh. Zhang, H. Chen, H. Zhang, and Y. Zhang, “Controlling multiwave mixing signals via photonic band gap of electromagnetically induced absorption grating in atomic media,” Opt. Express 21, 2933829349 (2013). [16] T. Qiu and G. Yang, “Electromagnetically induced angular Talbot effect”, J. Phys. B: At. Mol. Opt. Phys. 48, 245502 (2015). [17] Gh. Solookinejad, M. Panahi, E. A. Sangachin, S. H. Asadpour, “Plasmonic structure induced giant GoosHänchen shifts in a fourlevel quantum system”, Chin. J. Phys. 54, 651658 (2016). [18] R. SadighiBonabi, T. Naseri, and M. NavadehToupchi, “Electromagnetically induced grating in the microwavedriven fourlevel atomic systems”, App. Opt. 54, 368377 (2015). [19] N. Ba , X.Y. Wu, X.J. Liu, S.Q. Zhang, and J. Wang, “Electromagnetically induced grating in an atomic system with a static magnetic field”, Opt. Commun. 285, 37923797 (2012). [20] A. Hussain, M. Abbas, H.t Ali, “Electromagnetically Induced Grating via Kerr nonlinearity, Doppler broadening and Spontaneously Generated Coherence”, Phys. Scr. 96, 125110 (2021). Presenter: Doai Van Le 
Institute of Physics, VAST

Center for Theoretical Physics 
Center for Computational Physics
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