Please wait a minute...
Chin. Phys. B, 2018, Vol. 27(9): 094204    DOI: 10.1088/1674-1056/27/9/094204
ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS Prev   Next  

Effect of residual Doppler averaging on the probe absorption in cascade type system: A comparative study

Suman Mondal1, Arindam Ghosh1, Khairul Islam1, Dipankar Bhattacharyya2, Amitava Bandyopadhyay1
1 Department of Physics, Visva-Bharati, Santiniketan, PIN 731235, West Bengal, India;
2 Department of Physics, Santipur College, Santipur, PIN 741404, Nadia, West Bengal, India
Abstract  

Effect of residual Doppler averaging on the probe absorption in an alkali vapor medium in the presence of a coherent pump beam is studied analytically for the Ξ type system. A coherent probe field is assumed to connect the ground level with the intermediate level whereas a coherent control beam is supposed to act between the intermediate energy level and the uppermost level. Optical Bloch equations (OBE) for a three-level Ξ type system and a four-level Ξ type system are derived by using density matrix formalism. These equations are solved by an analytic method to determine the probe response, which not only depends on the wavelength difference between the control (pump) field and the probe field but shows substantially different features depending on whether the wavelength of the control field is greater than that of the probe field or the reverse. The effect of temperature on probe response is also shown. Enhancement in probe absorption and additional features are noticed under a strong probe limit at room temperature. The four-level Ξ type system has two ground levels and this leads to substantial modification in the simulated probe absorption as compared to the three-level system.

Keywords:  cascade type system      density matrix method      residual Doppler averaging      electromagnetically induced transparency (EIT)  
Received:  06 April 2018      Revised:  11 June 2018      Accepted manuscript online: 
PACS:  42.50.Gy (Effects of atomic coherence on propagation, absorption, and Amplification of light; electromagnetically induced transparency and Absorption)  
  32.10.Fn (Fine and hyperfine structure)  
Fund: 

Project supported by UGC, New Delhi, India.

Corresponding Authors:  Suman Mondal, Arindam Ghosh, Amitava Bandyopadhyay     E-mail:  mondal.suman27@gmail.com;arindam.ghosh.phy@gmail.com;m2amitava@gmail.com

Cite this article: 

Suman Mondal, Arindam Ghosh, Khairul Islam, Dipankar Bhattacharyya, Amitava Bandyopadhyay Effect of residual Doppler averaging on the probe absorption in cascade type system: A comparative study 2018 Chin. Phys. B 27 094204

[1] Fulton D J, Shepherd S, Moseley R R, Sinclair B D and Dunn M H 1995 Phys. Rev. A 52 2302
[2] Natarajan V 2015 Modern Atomic Physics (New York:CRC Press)
[3] Scully M O and Zubairy S 1997 Quantum Optics (Cambridge:Cambridge University Press)
[4] Imamoglu A and Harris S E 1989 Opt. Lett. 14 1344
[5] Boller K J, Imamoglu A and Harris S E 1991 Phys. Rev. Lett. 66 2593
[6] Agarwal G S and Harshawardhan 1996 Phys. Rev. A 77 1039
[7] Bharati V and Wasan A 2014 Opt. Commun. 324 238
[8] Joshi A and Xiao M 2003 Phys. Lett. A 317 370
[9] Liu J B, Liu N, Shan C J, Huang Y X and Liu T K 2009 J. Mod. Opt. 56 1774
[10] Ghosh A, Islam K, Bhattacharyya D and Bandyopadhyay A 2016 J. Phys. B:At. Mol. Opt. Phys. 49 195401
[11] Hong Y, Dong Y, Mey Z, Bo F, Yan Z and Jin W 2012 Chin. Phys. B 21 114207
[12] Li L, Guo H, Xiao F, Peng X and Chen X 2005 J. Opt. Soc. Am. B 22 1309
[13] Chen Y, Wei X G and Ham B S 2009 J. Phys. B:At. Mol. Opt. Phys. 42 065506
[14] Islam K, Bhattacharyya D, Ghosh A, Biswas D and Bandyopadhyay A 2017 J. Phys. B:At. Mol. Opt. Phys. 50 215401
[15] Kash M M, Sautenkov V A, Zibrov A S, Hollberg L, Welch G R, Lukin M D, Rostovtsev Y, Fry E S and Scully O M 1999 Phys. Rev. Lett. 82 5229
[16] Phillips D F, Fleischhauer A, Mair A and Walsworth R L 2001 Phys. Rev. Lett. 86 783
[17] Novikova I, Walsworth R L and Xiao Y 2012 Laser Photon. Rev. 6 333
[18] Harris S E, Field J E and Imamoglu A 1990 Phys. Rev. Lett. 64 1107
[19] Zhang Y, Anderson B and Xiao M 2008 Phys. Rev. A 77 061801
[20] Bhattacharyya D, Ghosh A, Bandyopadhyay A, Saha S and De S 2015 J. Phys. B:At. Mol. Opt. Phys. 48 175503
[21] Pandey K and Natarajan V 2008 J. Phys. B:At. Mol. Opt. Phys. 41 185504
[22] Salomaa R and Stenholm S 1976 J. Phys. B:At. Mol. Phys. 9 1221
[23] Iftiquar S M, Karve G R and Natarajan V 2008 Phys. Rev. A 77 063807
[24] Pack M V, Camacho R M and Howell J C 2007 Phys. Rev. A 76 013801
[25] Shepherd S, Fulton D J and Dunn M H 1996 Phys. Rev. A 54 5394
[26] Autler S H and Towns C H 1955 Phys. Rev. 100 703
[27] Sandhya S N and Sharma K K 1997 Phys. Rev. A 55 2155
[28] Boon J R, Zekou E, McGloin D and Dunn M H 1999 Phys. Rev. A 59 4675
[29] Clarke J C and van Wijngaarden W A 2001 Phys. Rev. A 64 023818
[30] Niu J, Pei L, Lu X, Wang R, Wu L A and Fu P 2011 Phys. Rev. A 84 033853
[31] Ghosh A, Mondal S, Islam K, Mal K, Bhattacharyya D and Bandyopadhyay A 2016 J. At. Mol. Conden. Nano Phys. 3 97
[32] Steck D A 2003 Cesium D line data
[33] Steck D A 2003 Rubidium 87 D line data
[34] Sansonetti J E and Martin W C 2005 J. Phys. Chem. Ref. Data 34 1559
[35] Georgiades N Ph, Polzik E S and Kimble H J 1994 Opt. Lett. 19 1474
[36] Sheng D, Perez Galvan A and Orozco L A 2008 Phys. Rev. A 78 062506
[37] Safronova M S and Safronova U I 2011 Phys. Rev. A 83 052508
[38] Wang J, Kong L B, Tu X H, Jiang K J, Li K, Xiong H W, Zhu Y and Zhan M S 2004 Phys. Lett. A 328 437
[39] Yadav K and Wasan A 2017 Phys. Lett. A 381 3246
[40] Urvoy A, Carr C, Ritter R, Adams C S, Weatherill K J and Low R 2013 J. Phys. B:At. Mol. Opt. Phys. 46 245001
[41] Wang L R, Zhang Y C, Xiang S S, Cao S K, Xiao L T and Jia S T 2015 Chin. Phys. B 24 063201
[1] Electromagnetically induced transparency and electromagnetically induced absorption in Y-type system
Kalan Mal, Khairul Islam, Suman Mondal, Dipankar Bhattacharyya, Amitava Bandyopadhyay. Chin. Phys. B, 2020, 29(5): 054211.
[2] Vapor cell geometry effect on Rydberg atom-based microwave electric field measurement
Linjie Zhang(张临杰), Jiasheng Liu(刘家晟), Yue Jia(贾玥), Hao Zhang(张好), Zhenfei Song(宋振飞), Suotang Jia(贾锁堂). Chin. Phys. B, 2018, 27(3): 033201.
[3] Laser frequency locking based on Rydberg electromagnetically induced transparency
Yuechun Jiao(焦月春), Jingkui Li(李敬奎), Limei Wang(王丽梅), Hao Zhang(张好), Linjie Zhang(张临杰), Jianming Zhao(赵建明), Suotang Jia(贾锁堂). Chin. Phys. B, 2016, 25(5): 053201.
[4] Reflection-type electromagnetically induced transparencyanalogue in terahertz metamaterials
Ding Chun-Feng (丁春峰), Zhang Ya-Ting (张雅婷), Yao Jian-Quan (姚建铨), Sun Chong-Ling (孙崇玲), Xu De-Gang (徐德刚), Zhang Gui-Zhong (张贵忠). Chin. Phys. B, 2014, 23(12): 124203.
[5] Experimental observation of pump-probe spectra of caesium D2 line with a vapour cell
Wang Yan-Hua (王彦华), Yang Hai-Jing (杨海菁), Zhang Tian-Cai (张天才), Wang Jun-Min (王军民). Chin. Phys. B, 2005, 14(6): 1120-1124.
[6] Absorption spectroscopy of cold caesium atoms confined in a magneto-optical trap
Yan Shu-Bin (闫树斌), Liu Tao (刘涛), Geng Tao (耿涛), Zhang Tian-Cai (张天才), Peng Kun-Chi (彭堃墀), Wang Jun-Min (王军民). Chin. Phys. B, 2004, 13(10): 1669-1673.
No Suggested Reading articles found!