开放的V型三能级系统中原子注入和退出速率对位相相关的无反转激光增益和强度空间演化的调制作用

梁颖; 贾克宁; 刘中波; 仝殿民; 樊锡君

doi:10.7498/aps.61.184207

摘要

利用数值计算结果, 研究了具有自发辐射诱导相干的开放V 型三能级原子系统中的传播效应. 研究表明: 改变探测场和驱动场之间的相对位相对无反转激光(LWI)增益和强度随传播距离的变化即空间演化具有重要的影响; 而原子的注入速率比(S)和退出速率(r0)的改变将对位相相关的LWI增益和强度的空间演化产生明显的调制作用. 在S(r0)的一定取值范围内, S(r0)的值越大, LWI增益和强度越大且强度达到极大值需要的传播距离越长; 相应封闭系统中LWI增益和强度的最大值及能产生增益的传播距离都小于开放系统. Doppler效应对LWI增益和强度的空间演化也具有明显的影响, 存在Doppler效应时得到的LWI增益和强度明显小于无Doppler效应时的值.

关键词:

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

作者及机构信息

1.
山东师范大学物理与电子科学学院, 济南 250014;

2.
山东大学物理学院, 济南 250100

基金项目: 国家自然科学基金(批准号: 11175105)资助的课题.

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).

参考文献

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施引文献

[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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