{"title":"四能级y型原子系统中的巨交叉-克尔非线性","authors":"N. Phu, N. H. Bang, Doai Van Le","doi":"10.4302/PLP.V13I1.1081","DOIUrl":null,"url":null,"abstract":"The analytical expression for the group index in a degenerated three-level lambda-type atomic system is derived as a function of the parameters of laser fields and external magnetic field. The influence of the external magnetic field on the group index is investigated. It is shown that by changing the magnitude or sign of the external magnetic field, the transparency window with normal dispersion switches to enhanced absorption with anomalous dispersion at the line center and hence the light propagation can be converted between subluminal and superluminal modes. Full Text: PDF ReferencesR. W. Boyd, \"Slow and fast light: fundamentals and applications\", J. Mod. Opt. 56 (2009) 1908-1915 CrossRef K.J. Boller, A. Imamoglu, S.E. Harris, \"Observation of electromagnetically induced transparency\", Phys. Rev. Lett. 66 (1991) 2593. CrossRef A. Lezama, S. Barreiro, and A. M. Akulshin, \"Electromagnetically induced absorption\", Phys. Rev. A 59 (1999) 4732-4735. CrossRef L. V. Hau, S. E. Harris, Z. Dutton, C. H. Bejroozi, \"Light speed reduction to 17 metres per second in an ultracold atomic gas\", Nature 397, 594 (1999) CrossRef L. J. Wang, A. Kuzmich, and A. Dogariu, \"Gain-assisted superluminal light propagation\", Nature 406 (6793), 277-279 (2000) CrossRef A. V. Turukhin, V. S. Sudarshanam, M. S. Shahriar, J. A. Musser, B. S. Ham, P. R. Hammer, \"Observation of Ultraslow and Stored Light Pulses in a Solid\", Phys. Rev. Lett. 88, 023602 (2002). CrossRef K. Bencheikh, E. Baldit, S. Briaudeau, P. Monnier, J. A. Levenson, and G. Mélin, \"Slow light propagation in a ring erbium-doped fiber\", Opt. Express 18 (25), 25642-25648 (2010). CrossRef E. E. Mikhailov, V. A. Sautenkov, I. Novikova, G. R. Welch, \"Large negative and positive delay of optical pulses in coherently prepared dense Rb vapor with buffer gas\", Phys. Rev. A 69, 063808 (2004). CrossRef E. E. Mikhailov, V. A. Sautenkov, Y. V. Rostovtsev, G.R. Welch, \"Absorption resonance and large negative delay in rubidium vapor with a buffer gas\", J. Opt. Soc. Am. B 21, 425 (2004). CrossRef A. M Akulshin and R. J McLean, \"Fast light in atomic media\", J. Opt. 12 (2010) 104001. CrossRef Vineet Bharti, Vasant Natarajan, \"Sub- and super-luminal light propagation using a Rydberg state\", Opt. Comm. 392 (2017) 180-184. CrossRef N.T. Anh, L.V. Doai, D.H. Son, and N.H. Bang, \"Manipulating multi-frequency light in a five-level cascade EIT medium under Doppler broadening\", Optik 171 (2018) 721-727. CrossRef 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. CrossRef N.H. Bang, L.N.M. Anh, N.T. Dung and L.V. Doai, \"Comparative Study of Light Manipulation in Three-Level Systems Via Spontaneously Generated Coherence and Relative Phase of Laser Fields*\", Commun. Theor. Phys. 71 (2019) 947-954. CrossRef L.V. Doai, \"The effect of giant Kerr nonlinearity on group velocity in a six-level inverted-Y atomic system\", Physica Scripta 95 (2020) 035104 (7pp). CrossRef P. Kaur and A. Wasan, \"Effect of magnetic field on the optical properties of an inhomogeneously broadened multilevel Λ-system in Rb vapor\", Eur. Phys. J. D 71 (2017) 78. CrossRef H. Cheng, H. -M. Wang, S. -S. Zhang, P. -P. Xin, J. Luo and H. -P. Liu, \"Electromagnetically induced transparency of 87Rb in a buffer gas cell with magnetic field\", J. Phys. B: At. Mol. Opt. Phys. 50 (2017) 095401. CrossRef C. Mishra, A. Chakraborty, A. Srivastava, S. K. Tiwari, S. P. Ram, V. B. Tiwari and S. R. Mishr, \"lectromagnetically induced transparency in Λ-systems of 87Rb atom in magnetic field\", J. Mod. Opt. 65 (2018) 2269-2277. CrossRef S. H. Asadpour, H. R. Hamedi and H. R. Soleimani, \"Slow light propagation and bistable switching in a graphene under an external magnetic field\", Laser Phys. Lett. 12 (2015) 045202. CrossRef R. Karimi, S. H. Asadpour, S. Batebi and h. R. Soleimani, \"Manipulation of pulse propagation in a four-level quantum system via an elliptically polarized light in the presence of external magnetic field\", Mod. Phys. Lett. B 29 (2015) 1550185. CrossRef","PeriodicalId":20055,"journal":{"name":"Photonics Letters of Poland","volume":"31 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2021-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Giant cross-Kerr nonlinearity in a four-level Y-type atomic system\",\"authors\":\"N. Phu, N. H. Bang, Doai Van Le\",\"doi\":\"10.4302/PLP.V13I1.1081\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The analytical expression for the group index in a degenerated three-level lambda-type atomic system is derived as a function of the parameters of laser fields and external magnetic field. The influence of the external magnetic field on the group index is investigated. It is shown that by changing the magnitude or sign of the external magnetic field, the transparency window with normal dispersion switches to enhanced absorption with anomalous dispersion at the line center and hence the light propagation can be converted between subluminal and superluminal modes. Full Text: PDF ReferencesR. W. Boyd, \\\"Slow and fast light: fundamentals and applications\\\", J. Mod. Opt. 56 (2009) 1908-1915 CrossRef K.J. Boller, A. Imamoglu, S.E. Harris, \\\"Observation of electromagnetically induced transparency\\\", Phys. Rev. Lett. 66 (1991) 2593. CrossRef A. Lezama, S. Barreiro, and A. M. Akulshin, \\\"Electromagnetically induced absorption\\\", Phys. Rev. A 59 (1999) 4732-4735. CrossRef L. V. Hau, S. E. Harris, Z. Dutton, C. H. Bejroozi, \\\"Light speed reduction to 17 metres per second in an ultracold atomic gas\\\", Nature 397, 594 (1999) CrossRef L. J. Wang, A. Kuzmich, and A. Dogariu, \\\"Gain-assisted superluminal light propagation\\\", Nature 406 (6793), 277-279 (2000) CrossRef A. V. Turukhin, V. S. Sudarshanam, M. S. Shahriar, J. A. Musser, B. S. Ham, P. R. Hammer, \\\"Observation of Ultraslow and Stored Light Pulses in a Solid\\\", Phys. Rev. Lett. 88, 023602 (2002). CrossRef K. Bencheikh, E. Baldit, S. Briaudeau, P. Monnier, J. A. Levenson, and G. Mélin, \\\"Slow light propagation in a ring erbium-doped fiber\\\", Opt. Express 18 (25), 25642-25648 (2010). CrossRef E. E. Mikhailov, V. A. Sautenkov, I. Novikova, G. R. Welch, \\\"Large negative and positive delay of optical pulses in coherently prepared dense Rb vapor with buffer gas\\\", Phys. Rev. A 69, 063808 (2004). CrossRef E. E. Mikhailov, V. A. Sautenkov, Y. V. Rostovtsev, G.R. Welch, \\\"Absorption resonance and large negative delay in rubidium vapor with a buffer gas\\\", J. Opt. Soc. Am. B 21, 425 (2004). CrossRef A. M Akulshin and R. J McLean, \\\"Fast light in atomic media\\\", J. Opt. 12 (2010) 104001. CrossRef Vineet Bharti, Vasant Natarajan, \\\"Sub- and super-luminal light propagation using a Rydberg state\\\", Opt. Comm. 392 (2017) 180-184. CrossRef N.T. Anh, L.V. Doai, D.H. Son, and N.H. Bang, \\\"Manipulating multi-frequency light in a five-level cascade EIT medium under Doppler broadening\\\", Optik 171 (2018) 721-727. CrossRef 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. CrossRef N.H. Bang, L.N.M. Anh, N.T. Dung and L.V. Doai, \\\"Comparative Study of Light Manipulation in Three-Level Systems Via Spontaneously Generated Coherence and Relative Phase of Laser Fields*\\\", Commun. Theor. Phys. 71 (2019) 947-954. CrossRef L.V. Doai, \\\"The effect of giant Kerr nonlinearity on group velocity in a six-level inverted-Y atomic system\\\", Physica Scripta 95 (2020) 035104 (7pp). CrossRef P. Kaur and A. Wasan, \\\"Effect of magnetic field on the optical properties of an inhomogeneously broadened multilevel Λ-system in Rb vapor\\\", Eur. Phys. J. D 71 (2017) 78. CrossRef H. Cheng, H. -M. Wang, S. -S. Zhang, P. -P. Xin, J. Luo and H. -P. Liu, \\\"Electromagnetically induced transparency of 87Rb in a buffer gas cell with magnetic field\\\", J. Phys. B: At. Mol. Opt. Phys. 50 (2017) 095401. CrossRef C. Mishra, A. Chakraborty, A. Srivastava, S. K. Tiwari, S. P. Ram, V. B. Tiwari and S. R. Mishr, \\\"lectromagnetically induced transparency in Λ-systems of 87Rb atom in magnetic field\\\", J. Mod. Opt. 65 (2018) 2269-2277. CrossRef S. H. Asadpour, H. R. Hamedi and H. R. Soleimani, \\\"Slow light propagation and bistable switching in a graphene under an external magnetic field\\\", Laser Phys. Lett. 12 (2015) 045202. CrossRef R. Karimi, S. H. Asadpour, S. Batebi and h. R. Soleimani, \\\"Manipulation of pulse propagation in a four-level quantum system via an elliptically polarized light in the presence of external magnetic field\\\", Mod. Phys. Lett. B 29 (2015) 1550185. 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引用次数: 1
摘要
导出了简并三能级λ型原子体系的群指数与激光场参数和外加磁场参数的函数表达式。研究了外加磁场对群指数的影响。结果表明，通过改变外磁场的大小或符号，具有正常色散的透明窗口转换为具有线中心异常色散的增强吸收，从而实现光传播在亚光速模式和超光速模式之间的转换。全文:PDF。W. Boyd，“慢光和快光:基本原理和应用”，J. Mod. Opt. 56 (2009): 1998 -1915 CrossRef K.J. Boller, A. Imamoglu, S.E. Harris，“电磁感应透明的观测”，物理学报。Rev. Lett. 66(1991) 2593。CrossRef A. Lezama, S. Barreiro, A. M. Akulshin，“电磁感应吸收”，物理学报。Rev. A 59(1999) 4732-4735。CrossRef L. V. Hau, S. E. Harris, Z. Dutton, C. H. Bejroozi，“超冷原子气体中光速降低到每秒17米”，Nature 397, 594 (1999) CrossRef L. J. Wang, a . Kuzmich, a . Dogariu，“增益辅助超光速光传播”，Nature 406 (6793)， 277-279 (2000) CrossRef a . V. Turukhin, V. S. Sudarshanam, M. S. Shahriar, J. a . Musser, B. S. Ham, P. R. Hammer，“固体中超低光脉冲和存储光脉冲的观测”，physicsRev. Lett. 88, 023602(2002)。陈晓明，陈晓明，陈晓明，“光纤中掺铒光纤的光传输特性研究”，光学学报，18(4)，344 - 344(2010)。CrossRef E. E. Mikhailov, V. A. Sautenkov, I. Novikova, G. R. Welch，“具有缓冲气体的致密Rb蒸汽相干制备光脉冲的大负延迟和正延迟”，物理学报。修订A 69, 063808(2004)。引用E. E. Mikhailov, V. a . Sautenkov, Y. V. Rostovtsev, G.R. Welch，“缓冲气体对铷蒸气的吸收共振和大负延迟”，J.光学学报。点。B 21,425(2004)。引用本文:王晓明，王晓明，“原子介质中的快光”，光学学报，12(2010):10491。引用本文:陈晓明，陈晓明，“基于Rydberg态的超光速光传输”，光学学报，39(2017):180-184。引用本文:杨立涛，孙德辉，刘建军，“多普勒展宽下的多频光处理”，光学学报，2018，(7):721-727。[8]杨国强，刘建军，“一种具有超自克尔非线性的五能级级联型原子介质中多频光的控制”，光子学报。点。B 35(2018) 1233。* * * * * * * * * * * * * * * * * * * * *定理。物理学报，71(2019)947-954。张晓明，“六能级倒y原子体系中巨Kerr非线性对群速度的影响”，物理学报，95 (2020):035104 (7pp)。P. Kaur和A. Wasan，“磁场对Rb蒸汽中不均匀加宽多层能级Λ-system光学性质的影响”，欧洲。理论物理。J. d . 71 (2017)交叉参考程华，h -M。王，S. -S.张，P. P.。罗建平，辛建平。刘，“电磁诱导87Rb在磁场缓冲气池中的透明度”，物理学报。B:。生物医学工程学报，2016,35(5):555 - 557。陈建军，陈建军，陈建军，陈建军，陈建军，陈建军，陈建军，陈建军，陈建军，陈建军，陈建军，陈建军，陈建军，陈建军，陈建军，陈建军，陈建军，陈建军。S. H. Asadpour, H. R. Hamedi, H. R. Soleimani，“外磁场下石墨烯的慢光传输和双稳态开关”，激光物理。快报12(2015)045202。[CrossRef . Karimi, S. h. Asadpour, S. Batebi, h. R. Soleimani，“外加磁场作用下椭圆偏振光在四能级量子系统中的脉冲传输操纵”，物理学报。列托人。B 29(2015) 1550185。CrossRef
Giant cross-Kerr nonlinearity in a four-level Y-type atomic system
The analytical expression for the group index in a degenerated three-level lambda-type atomic system is derived as a function of the parameters of laser fields and external magnetic field. The influence of the external magnetic field on the group index is investigated. It is shown that by changing the magnitude or sign of the external magnetic field, the transparency window with normal dispersion switches to enhanced absorption with anomalous dispersion at the line center and hence the light propagation can be converted between subluminal and superluminal modes. Full Text: PDF ReferencesR. W. Boyd, "Slow and fast light: fundamentals and applications", J. Mod. Opt. 56 (2009) 1908-1915 CrossRef K.J. Boller, A. Imamoglu, S.E. Harris, "Observation of electromagnetically induced transparency", Phys. Rev. Lett. 66 (1991) 2593. CrossRef A. Lezama, S. Barreiro, and A. M. Akulshin, "Electromagnetically induced absorption", Phys. Rev. A 59 (1999) 4732-4735. CrossRef L. V. Hau, S. E. Harris, Z. Dutton, C. H. Bejroozi, "Light speed reduction to 17 metres per second in an ultracold atomic gas", Nature 397, 594 (1999) CrossRef L. J. Wang, A. Kuzmich, and A. Dogariu, "Gain-assisted superluminal light propagation", Nature 406 (6793), 277-279 (2000) CrossRef A. V. Turukhin, V. S. Sudarshanam, M. S. Shahriar, J. A. Musser, B. S. Ham, P. R. Hammer, "Observation of Ultraslow and Stored Light Pulses in a Solid", Phys. Rev. Lett. 88, 023602 (2002). CrossRef K. Bencheikh, E. Baldit, S. Briaudeau, P. Monnier, J. A. Levenson, and G. Mélin, "Slow light propagation in a ring erbium-doped fiber", Opt. Express 18 (25), 25642-25648 (2010). CrossRef E. E. Mikhailov, V. A. Sautenkov, I. Novikova, G. R. Welch, "Large negative and positive delay of optical pulses in coherently prepared dense Rb vapor with buffer gas", Phys. Rev. A 69, 063808 (2004). CrossRef E. E. Mikhailov, V. A. Sautenkov, Y. V. Rostovtsev, G.R. Welch, "Absorption resonance and large negative delay in rubidium vapor with a buffer gas", J. Opt. Soc. Am. B 21, 425 (2004). CrossRef A. M Akulshin and R. J McLean, "Fast light in atomic media", J. Opt. 12 (2010) 104001. CrossRef Vineet Bharti, Vasant Natarajan, "Sub- and super-luminal light propagation using a Rydberg state", Opt. Comm. 392 (2017) 180-184. CrossRef N.T. Anh, L.V. Doai, D.H. Son, and N.H. Bang, "Manipulating multi-frequency light in a five-level cascade EIT medium under Doppler broadening", Optik 171 (2018) 721-727. CrossRef 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. CrossRef N.H. Bang, L.N.M. Anh, N.T. Dung and L.V. Doai, "Comparative Study of Light Manipulation in Three-Level Systems Via Spontaneously Generated Coherence and Relative Phase of Laser Fields*", Commun. Theor. Phys. 71 (2019) 947-954. CrossRef L.V. Doai, "The effect of giant Kerr nonlinearity on group velocity in a six-level inverted-Y atomic system", Physica Scripta 95 (2020) 035104 (7pp). CrossRef P. Kaur and A. Wasan, "Effect of magnetic field on the optical properties of an inhomogeneously broadened multilevel Λ-system in Rb vapor", Eur. Phys. J. D 71 (2017) 78. CrossRef H. Cheng, H. -M. Wang, S. -S. Zhang, P. -P. Xin, J. Luo and H. -P. Liu, "Electromagnetically induced transparency of 87Rb in a buffer gas cell with magnetic field", J. Phys. B: At. Mol. Opt. Phys. 50 (2017) 095401. CrossRef C. Mishra, A. Chakraborty, A. Srivastava, S. K. Tiwari, S. P. Ram, V. B. Tiwari and S. R. Mishr, "lectromagnetically induced transparency in Λ-systems of 87Rb atom in magnetic field", J. Mod. Opt. 65 (2018) 2269-2277. CrossRef S. H. Asadpour, H. R. Hamedi and H. R. Soleimani, "Slow light propagation and bistable switching in a graphene under an external magnetic field", Laser Phys. Lett. 12 (2015) 045202. CrossRef R. Karimi, S. H. Asadpour, S. Batebi and h. R. Soleimani, "Manipulation of pulse propagation in a four-level quantum system via an elliptically polarized light in the presence of external magnetic field", Mod. Phys. Lett. B 29 (2015) 1550185. CrossRef
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