Combined periodic wave and solitary wave solutions in two-component Bose–Einstein condensates

doi:10.1088/1674-1056/20/11/110307

中国物理B ›› 2011, Vol. 20 ›› Issue (11): 110307-110307.doi: 10.1088/1674-1056/20/11/110307

Combined periodic wave and solitary wave solutions in two-component Bose–Einstein condensates

姚淑芳¹, 李秋艳¹, 李再东²

(1)Department of Applied Physics, Hebei University of Technology, Tianjin 300401, China; (2)Department of Applied Physics, Hebei University of Technology, Tianjin 300401, China; School of Information Engineering, Hebei University of Technology, Tianjin 300401, China

收稿日期:2011-04-10 修回日期:2011-06-14 出版日期:2011-11-15 发布日期:2011-11-15
基金资助:
Project supported by the Key Program of Chinese Ministry of Education (Grant No. 2011015) and the Hundred Innovation Talents Supporting Project of Hebei Province of China (Grant No. CPRC014).

Combined periodic wave and solitary wave solutions in two-component Bose–Einstein condensates

Yao Shu-Fang (姚淑芳)^a), Li Qiu-Yan(李秋艳)^a), and Li Zai-Dong(李再东)^a)b)†

^a Department of Applied Physics, Hebei University of Technology, Tianjin 300401, China; ^b School of Information Engineering, Hebei University of Technology, Tianjin 300401, China

Received:2011-04-10 Revised:2011-06-14 Online:2011-11-15 Published:2011-11-15
Supported by:
Project supported by the Key Program of Chinese Ministry of Education (Grant No. 2011015) and the Hundred Innovation Talents Supporting Project of Hebei Province of China (Grant No. CPRC014).

摘要/Abstract

摘要： In this paper, the Jacobi elliptic function expansion method provides an effective approach to obtain the exact periodic wave solutions of two-component Bose-Einstein condensates. Exact combined bright-bright and dark-dark soliton wave solutions can be achieved in their limit conditions. We also obtain the different formation regions of combined solitons. Our results show that the intraspecies (interspecies) interaction strengths clearly affect the formation of dark-dark, bright-bright and dark-bright soliton solutions in different regions.

关键词: Jacobi elliptic function method, solitary wave solutions

Abstract: In this paper, the Jacobi elliptic function expansion method provides an effective approach to obtain the exact periodic wave solutions of two-component Bose-Einstein condensates. Exact combined bright-bright and dark-dark soliton wave solutions can be achieved in their limit conditions. We also obtain the different formation regions of combined solitons. Our results show that the intraspecies (interspecies) interaction strengths clearly affect the formation of dark-dark, bright-bright and dark-bright soliton solutions in different regions.

Key words: Jacobi elliptic function method, solitary wave solutions

中图分类号: (Multicomponent condensates; spinor condensates)

03.75.Mn

05.45.Yv (Solitons)

姚淑芳, 李秋艳, 李再东. Combined periodic wave and solitary wave solutions in two-component Bose–Einstein condensates[J]. 中国物理B, 2011, 20(11): 110307-110307.

Yao Shu-Fang (姚淑芳), Li Qiu-Yan(李秋艳), and Li Zai-Dong(李再东) . Combined periodic wave and solitary wave solutions in two-component Bose–Einstein condensates[J]. Chin. Phys. B, 2011, 20(11): 110307-110307.

参考文献 33

[1]	Zabusky N J and Kruskal M D 1965 Phys. Rev. Lett. 15 240
[2]	Serkin V N, Hasegawa A and Belyaeva T L 2007 Phys. Rev. Lett. 98 074102
[3]	Cardoso W B, Avelar A T, Bazeia D and Hussein M S 2010 Phys. Lett. A 374 2356
[4]	Kivshar Y and Agrawal G 2003 Optical Solitons: Form Fibers to Photonic Crystals (New York: Academic Press)
[5]	Malomed B A 2006 Soliton Management in Periodic Systems (New York: Springer Press)
[6]	Myatt C J, Burt E A, Ghrist R W, Cornell E A and Wieman C E 1997 Phys. Rev. Lett. 78 586
[7]	Stamper-Kurn D M, Andrews M R, Chikkatur A P, Inouye S, Miesner H J, Stenger J and Ketterle W 1998 Phys. Rev. Lett. 80 2027
[8]	Strecker K E, Partridge G B, Truscott A G and Hulet R G 2002 Nature 417 150
[9]	Burger S, Bongs K, Dettmer S, Ertmer W, Sengstock K, Sanpera A, Shlyapnikov G V and Lewenstein M 1999 Phys. Rev. Lett. 83 5198
[10]	Denschlag J, Simsarian J E, Feder D L, Clark C W, Collins L A, Cubizolles J, Deng L, Hagley E W, Helmerson K, Reinhardt W P, Rolston S L, Schneider B I and Phillips W D 2000 Science 287 97
[11]	Busch T and Anglin J R 2000 Phys. Rev. Lett. 84 2298
[12]	Law C K, Chan C M, Leung P T and Chu M C 2000 Phys. Rev. Lett. 85 1598
[13]	Anderson B P, Haljan P C, Regal C A, Feder D L, Collins L A, Clark C W and Cornell E A 2001 Phys. Rev. Lett. 86 2926
[14]	Wu B, Liu J and Niu Q 2002 Phys. Rev. Lett. 88 034101
[15]	Zhang X F, Zhang P, He W Q and Liu X X 2011 Chin. Phys. B 20 020307
[16]	Zhang L S, Cai L and Feng C W 2011 Acta Phys. Sin. 60 030308 (in Chinese)
[17]	Fang J S and Liao X P 2011 Chin. Phys. B 20 040310
[18]	Liu X X, Pu H, Xiong B, Liu W M and Gong J B 2009 Phys. Rev. A 79 013423
[19]	Wang D L, Yan X H and Wang F J 2007 Chin. Phys. Lett. 24 1817
[20]	Liang Z X, Zhang Z D and Liu W M 2005 Phys. Rev. Lett. 94 050402
[21]	Li Q Y, Li Z D, Yao S F, Li L and Fu G S 2010 Chin. Phys. B 19 080501
[22]	Kevrekidis P G, Theocharis G, Frantzeskakis D J and Malomed B A 2003 Phys. Rev. Lett. 90 230401
[23]	Ho T L and Shenoy V B 1996 Phys. Rev. Lett. 77 3276
[24]	Pu H and Bigelow N P 1998 Phys. Rev. Lett. 80 1130
[25]	Manakov S V 1974 Sov. Phys. JETP 38 248
[26]	Makhankov V G, Makhaldiani N V and Pashaev O K 1981 Phys. Lett. A 81 161
[27]	Kanna T, Tsoy E N and Akhmediev N 2004 Phys. Lett. A 330 224
[28]	Kaup D J and Malomed B A 1993 Phys. Rev. A 48 599
[29]	Malomed B A and Tasgal R S 1998 Phys. Rev. E 58 2564
[30]	Öhberg P and Santos L 2001 Phys. Rev. Lett. 86 2918
[31]	Liu S K, Fu Z T, Liu S D and Zhao Q 2001 Phys. Lett. A 289 69
[32]	Atre R, Panigrahi P K and Agarwal G S 2006 Phys. Rev. E 73 056611
[33]	Kevrekidis P G, Nistazakis H E, Frantzeskakis D J, Malomed B A and Carretero-González R 2004 Eur. Phys. J. D 28 181 110307-6

Combined periodic wave and solitary wave solutions in two-component Bose–Einstein condensates

Combined periodic wave and solitary wave solutions in two-component Bose–Einstein condensates

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