Effects of modulation of atomic injection and exit rate on spatial evolution of phase-dependent lasing without inversion gain and intensity in an open V-type system

Liang Ying; Jia Ke-Ning; Liu Zhong-Bo; Tong Dian-Min; Fan Xi-Jun

doi:10.7498/aps.61.184207

Abstract

The propagation effect in an open V-type three-level atomic system with spontaneously generated coherence is studied by numerical calculation. The results show that changing the relative phase between the probe and driving field has an important effect on variations of gain and intensity of lasing without inversion (LWI) with propagation distance, i.e. spatial evolution; variation of ratio (S) between the atomic injection rate and atomic exit rate (r0) has a remarkable modulation role in phase-dependent spatial evolution. In a certain range of S (r0), with value of S (r0) increasing, LWI gain and intensity increase and the propagation distance needed for reaching an intensity maximum value becomes longer; In a corresponding closed system, the maxima of LWI gain, intensity and the propagation distance along which the gain can be produced are smaller than in an open system. The Doppler effect also has an obvious influence on spatial evolutions of LWI gain and intensity, values of LWI gain and intensity are smaller in the presence of Doppler effect than in the absence of Doppler effect.

Keywords:

open system /
injection and exit rates /
relative phase /
spatial evolution lasing without inversion

Authors and contacts

1.
College of Physics and Electronics, Shandong Normal University, Jinan 250014, China;
2.
School of Physics, Shandong University, Jinan 250100, China
Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11175105).

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[32]	Fan X J, Li A Y, Tian S F, Tong D M, Gong S Q, Xu Z Z 2007 Eur. Phys. J. D 42 483
[33]	Yang Y, Liu Z B, Wang L, Tong D M, Fan X J 2009 Chin. Phys. B 18 1054
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[35]	Li A J, Song X L, Wei G X, Wang L, Gao J Y 2008 Phys. Rev. A 77 053806
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[37]	Vemuri G, Agarwal G S 1996 Phys. Rev. A 53 1060
[38]	Ahufinger V, Mompart J, Corbalan R 1999 Phys. Rev. A 60 614
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[40]	Bonifacio R, Robb G R M, McNeil B W J 1997 Phys. Rev. A 56 912
[41]	Lukin M D, Scully M O, Welch G R 1996 Laser Phys. 6 436
[42]	Yelin S F, Lukin M D, Scully M O 1998 Phys. Rev. A 57 3858
[43]	Mompart J, Ahufinger V, Corbalan R, Parti F 2000 J. Opt. B: Quantum Semiclass. 2 359
[44]	Qiao H X, Yang Y L, Tan X, Tong D M, Fan X J 2008 Chin. Phys. B 17 3735
[45]	Scully M O, Zhu S Y, Fearn H 1992 Z. Phys. D: Atoms, Molecules and Clusters 22 471
[46]	Zhu S Y, Wang D Z, Gao J Y 1997 Phys. Rev. A 55 1939
[47]	Yelin S F, Lukin M D, Scully M O, Mandel P 1998 Phys. Rev. A 57 3858
[48]	Li J J, Liu C P, Cui N, Li H, Fan X J 2004 Chin. Opt. Lett. 2 725
[49]	Fan J F, Xu H, Tian S F, Tong D M, Xu Z Z 2004 Opt. Commun. 241 399
[50]	Zhou P, Swain S 1997 Phys. Rev. Lett. 78 832

Cited By

[1]	Kocharovskaya O, Khanin Y I 1988 JETP Lett. 48 630
[2]	Harris S E 1989 Phys. Rev. Lett. 62 1033
[3]	Scully M O, Zhu S Y, Gavrielides A 1989 Phys. Rev. Lett. 62 2813
[4]	Mandel P 1993 Contemporary Phys. 34 235
[5]	Zhu Y F, Rubiera A I, Xiao M 1996 Phys. Rev. A 53 1065
[6]	Mompart J, Corbalan R 2000 J. Opt. B: Quantum Semiclass. Opt. 2 R7
[7]	Li C R, Li Y C, Men F K, Pao C H, Tsai Y C, Wang J F 2005 Appl. Phys. Lett. 86 201112
[8]	Wieczorek S, Chow W 2006 Phys. Rev. Lett. 97 113903
[9]	Waldmueller I, Wanke M C, W W Chow 2007 Phys. Rev. Lett. 99 117401
[10]	Kilin S Y, Kapale K T, Scully M O 2008 Phys. Rev. Lett. 100 173601
[11]	Liberato S D, Ciuti C 2009 Phys. Rev. Lett. 102 136403
[12]	Scully M O 2010 Phys. Rev. Lett. 104 207701
[13]	Marthaler M, Utsumi Y, Golubev D S, Shnirman A, Schön G 2011 Phys. Rev. Lett. 107 093901
[14]	Zibrov A S, Lukin M D, Nikonov D E, Hollberg L, Scully M O, Velichansky V L, Robinson H G 1995 Phys. Rev. Lett. 75 1499
[15]	Padmabandu G G, Welch G R, Shubin I N, Fry E S, Nikonov D E, Lukin M D, Scully M O 1996 Phys. Rev. Lett. 76 2053
[16]	de Jong F B, Mavromanolakis A, Spreeuw R J C, Heuvell H B 1998 Phys. Rev. A 57 4869
[17]	Wu H, Xiao M, Gea-Banacloche J 2008 Phys. Rev. A 78 R041802
[18]	Lu N, Bergou J 1989 Phys. Rev. A 40 237
[19]	Bergou J A J, Bogar P 1991 Phys. Rev. A 43 4889
[20]	Javanainen J 1992 Europhys. Lett. 17 407
[21]	Zhu S Y, Scully M O 1996 Phys. Rev. Lett. 76 388
[22]	Wu J H, Gao J Y 2002 Phys. Rev. A 65 063807
[23]	Xu W H, Zhang H F, Gao J Y, Zhang B 2003 J. Opt. Soc. Am. B 20 2377
[24]	Goren C, Wilson-Gordon A D, Rosenbluh M, Friedmann H 2003 Phys. Rev. A 68 043818
[25]	Hou B P, Wang S J, Yu W L, Sun W L 2004 Phys. Rev. A 69 053805
[26]	Sahrai M, Tajalli H, Kapale K T, Zubairy M S 2004 Phys. Rev. A 70 023813
[27]	Sahrai M, Tajalli H, Kapale K T, Zubairy M S 2005 Phys. Rev. A 72 013820
[28]	Bai A F, Guo H, Han D A 2005 J. Opt. B: Quantum Semiclass. Opt. 7 35
[29]	Kapale K T, Zubairy M S 2006 Phys. Rev. A 73 023813
[30]	Yang J H, Zhu S Y 2007 Phys. Rev. A 76 062322
[31]	Fan X J, Cui N, Tian S F, Ma H, Gong S Q, Xu Z Z 2005 J. Modern Opt. 52 2759
[32]	Fan X J, Li A Y, Tian S F, Tong D M, Gong S Q, Xu Z Z 2007 Eur. Phys. J. D 42 483
[33]	Yang Y, Liu Z B, Wang L, Tong D M, Fan X J 2009 Chin. Phys. B 18 1054
[34]	Osman K I, Hassan S S, Joshi A 2009 Eur. Phys. J. D 54 119
[35]	Li A J, Song X L, Wei G X, Wang L, Gao J Y 2008 Phys. Rev. A 77 053806
[36]	Wang L, Li G Q, Xiao S W, Zheng C B 2010 Acta Phys. Sin. 59 8512 (in Chinese) [王丽, 李根全, 肖绍武, 郑长波 2010 物理学报 59 8512]
[37]	Vemuri G, Agarwal G S 1996 Phys. Rev. A 53 1060
[38]	Ahufinger V, Mompart J, Corbalan R 1999 Phys. Rev. A 60 614
[39]	Brown W J, Gardner J R, Gauthier D J, Vilaseca R 1997 Phys. Rev. A 55 R1601
[40]	Bonifacio R, Robb G R M, McNeil B W J 1997 Phys. Rev. A 56 912
[41]	Lukin M D, Scully M O, Welch G R 1996 Laser Phys. 6 436
[42]	Yelin S F, Lukin M D, Scully M O 1998 Phys. Rev. A 57 3858
[43]	Mompart J, Ahufinger V, Corbalan R, Parti F 2000 J. Opt. B: Quantum Semiclass. 2 359
[44]	Qiao H X, Yang Y L, Tan X, Tong D M, Fan X J 2008 Chin. Phys. B 17 3735
[45]	Scully M O, Zhu S Y, Fearn H 1992 Z. Phys. D: Atoms, Molecules and Clusters 22 471
[46]	Zhu S Y, Wang D Z, Gao J Y 1997 Phys. Rev. A 55 1939
[47]	Yelin S F, Lukin M D, Scully M O, Mandel P 1998 Phys. Rev. A 57 3858
[48]	Li J J, Liu C P, Cui N, Li H, Fan X J 2004 Chin. Opt. Lett. 2 725
[49]	Fan J F, Xu H, Tian S F, Tong D M, Xu Z Z 2004 Opt. Commun. 241 399
[50]	Zhou P, Swain S 1997 Phys. Rev. Lett. 78 832

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Vol. 61, Issue 18 - 2012-09-20

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