Controlling the collision between two solitons in the condensates by a double-barrier potential

doi:10.1088/1674-1056/20/8/080502

中国物理B ›› 2011, Vol. 20 ›› Issue (8): 80502-080502.doi: 10.1088/1674-1056/20/8/080502

Controlling the collision between two solitons in the condensates by a double-barrier potential

李志坚¹, 李锦茴²

(1)Information Science and Engineering Department, Hunan First Normal University, Changsha 410205, China; (2)Mathematics and Science Department, Hunan First Normal University, Changsha 410205, China

收稿日期:2010-12-18 修回日期:2011-03-04 出版日期:2011-08-15 发布日期:2011-08-15
基金资助:
Project supported by the Science Research Foundation of the Education Bureau of Hunan Province of China (Grant No. 09C227).

Controlling the collision between two solitons in the condensates by a double-barrier potential

Li Zhi-Jian(李志坚)^a) and Li Jin-Hui(李锦茴)^b)^†

^a Information Science and Engineering Department, Hunan First Normal University, Changsha 410205, China; ^b Mathematics and Science Department, Hunan First Normal University, Changsha 410205, China

Received:2010-12-18 Revised:2011-03-04 Online:2011-08-15 Published:2011-08-15
Supported by:
Project supported by the Science Research Foundation of the Education Bureau of Hunan Province of China (Grant No. 09C227).

摘要/Abstract

摘要： We present an analytical solution of two solitons of Bose—Einstein condensates trapped in a double-barrier potential by using a multiple-scale method. In the linear case, we find that the stable spots of the soliton formation are at the top of the barrier potential and at the region of barrier potential absence. For weak nonlinearity, it is shown that the height of the barrier potential has an important effect on the dark soliton dynamical properties. Especially, in the case of regarding a double-barrier potential as the output source of the solitons, the collision spots between two dark solitons can be controlled by the height of the barrier potential.

Abstract: We present an analytical solution of two solitons of Bose—Einstein condensates trapped in a double-barrier potential by using a multiple-scale method. In the linear case, we find that the stable spots of the soliton formation are at the top of the barrier potential and at the region of barrier potential absence. For weak nonlinearity, it is shown that the height of the barrier potential has an important effect on the dark soliton dynamical properties. Especially, in the case of regarding a double-barrier potential as the output source of the solitons, the collision spots between two dark solitons can be controlled by the height of the barrier potential.

Key words: Bose—Einstein condensates, solitons, double-barrier potential

中图分类号: (Boson systems)

05.30.Jp

02.90.+p (Other topics in mathematical methods in physics) 11.10.Lm (Nonlinear or nonlocal theories and models)

李志坚, 李锦茴. Controlling the collision between two solitons in the condensates by a double-barrier potential[J]. 中国物理B, 2011, 20(8): 80502-080502.

Li Zhi-Jian(李志坚) and Li Jin-Hui(李锦茴) . Controlling the collision between two solitons in the condensates by a double-barrier potential[J]. Chin. Phys. B, 2011, 20(8): 80502-080502.

参考文献 33

[1]	Pethick C J and Smith H 2002 Bose—Einstein Condensation in Dilute Gases (Cambridge: Cambridge University Press)
[2]	Pitaevskii L and Stringari S 2003 Bose—Einstein Condensation (Oxford: Clarendon)
[3]	Wang D S, Hu X H, Hu J P and Liu W M 2010 Phys. Rev. A 81 025604
[4]	Ji A C, Sun Q, Xie X C and Liu W M 2009 Phys. Rev. Lett. 102 023602
[5]	Wang D L, Yan X H and Liu W M 2008 Phys. Rev. E 78 026606
[6]	Li Z D, Li Q Y, Li L and Liu W M 2007 Phys. Rev. E bf 76 026605
[7]	Zhang X F, Yang Q, Zhang J F, Chen X Z and Liu W M 2008 it Phys. Rev. A 77 023613
[8]	Huang G X, Velarde M G and Makarov V A 2001 Phys. Rev. A 64 013617
[9]	Huang G X, Szeftel J and Zhu S H 2002 Phys. Rev. A bf 65 053605
[10]	Zhang W X, Wang D L, He Z M, Wang F J and Ding J W 2008 it Phys. Lett. A 372 4407
[11]	Wang D L, Yan X H and Wang F J 2007 Chin. Phys. Lett. 24 1817
[12]	Zhang J M and Liu W M 2010 Phys. Rev. A 82 025602
[13]	Chen Y H, Wu W, Tao H S and Liu W M 2010 Phys. Rev. A 82 043625
[14]	Li Q Y, Li Z D, Yao S F, Li L and Fu G S 2010 Chin. Phys. B 19 080501
[15]	Song W W, Li Q Y, Li Z D and Fu G S 2010 Chin. Phys. B 19 070503
[16]	Li Z D, Li Q Y, He P B, Liang J Q, Liu W M and Fu G S 2010 it Phys. Rev. A 81 015602
[17]	He Z M, Wang D L, Zhang W X, Wang F J and Ding J W 2008 it Chin. Phys. B 17 3640
[18]	Zhang W X, Wang D L and Ding J W 2008 Acta Phys. Sin. 57 6786 (in Chinese)
[19]	Xi Y D, Wang D L, He Z M and Ding J W 2009 Chin. Phys. B 18 0939
[20]	He Z M and Wang D L 2007 Acta Phys. Sin. 56 3088 (in Chinese)
[21]	Li Q Y, Li Z D, Wang S X, Song W W and Fu G S 2009 Opt. Commun. 282 1676
[22]	Xi Y D, Wang D L, She Y C, Wang F J and Ding J W 2010 it Acta Phys. Sin. 59 3720 (in Chinese)
[23]	She Y C, Wang D L and Ding J W 2009 Acta Phys. Sin. bf 58 3198 (in Chinese)
[24]	She Y C, Wang D L, Zhang W X, He Z M and Ding J W 2010 J. Opt. Soc. Am. B 27 208
[25]	Andersen J O 2004 Rev. Mod. Phys. 76 599
[26]	Burger S, Bongs K, Dettmer S, Ertmer W and Sengstock K 1999 Phys. Rev. Lett. 83 5198
[27]	Paul T, Richter K and Schlagheck P 2005 Phys. Rev. Lett. 94 020404
[28]	Carusotto I and La Rocca G C 1999 Phys. Rev. Lett. bf 84 399
[29]	Carusotto I 2001 Phys. Rev. A 63 023610
[30]	Johansson M and Kivshar Y S 1999 Phys. Rev. Lett. bf 82 85
[31]	Wang D L, Yan X H and Tang Y 2004 J. Phys. Soc. Jpn. bf 73 123
[32]	Wang D L, Yang R S and Yang Y Y 2007 Commun. Theor. Phys. (Beijing, China) 48 917
[33]	Wang D L and Yan X H 2011 Int. J. Mod. Phys. B 25 781

Controlling the collision between two solitons in the condensates by a double-barrier potential

Controlling the collision between two solitons in the condensates by a double-barrier potential

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 33

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Hao Zhu(朱浩), Shou-Gen Yin(印寿根), and Wu-Ming Liu(刘伍明). Vortex chains induced by anisotropic spin-orbit coupling and magnetic field in spin-2 Bose-Einstein condensates[J]. 中国物理B, 2022, 31(6): 60305-060305.
[2]	Hao Zhu(朱浩), Shou-Gen Yin(印寿根), and Wu-Ming Liu(刘伍明). Manipulating vortices in F=2 Bose-Einstein condensates through magnetic field and spin-orbit coupling[J]. 中国物理B, 2022, 31(4): 40306-040306.
[3]	Hui-Fang Wang(王慧芳), Jin-Jun Zhang(张进军), and Jian-Jun Zhang(张建军). Classical-field description of Bose-Einstein condensation of parallel light in a nonlinear optical cavity[J]. 中国物理B, 2021, 30(11): 110301-110301.
[4]	Li Wang(王力), Ji Li(李吉), Xiao-Lin Zhou(周晓林), Xiang-Rong Chen(陈向荣), and Wu-Ming Liu(刘伍明). Adjustable half-skyrmion chains induced by SU(3) spin-orbit coupling in rotating Bose-Einstein condensates[J]. 中国物理B, 2021, 30(11): 110312-110312.
[5]	Ji-Guo Wang(王继国), Yue-Qing Li(李月晴), Han-Zhao Tang(唐翰昭), and Ya-Fei Song(宋亚飞). Spinor F=1 Bose-Einstein condensates loaded in two types of radially-periodic potentials with spin-orbit coupling[J]. 中国物理B, 2021, 30(10): 106701-106701.
[6]	Yusong Cao(曹雨松), Junpeng Cao(曹俊鹏), and Heng Fan(范桁). Ferromagnetic Heisenberg spin chain in a resonator[J]. 中国物理B, 2021, 30(9): 90506-090506.
[7]	Zehan Li(李泽汉), Jian-Song Pan, and W Vincent Liu. Superfluid phases and excitations in a cold gas of d-wave interacting bosonic atoms and molecules[J]. 中国物理B, 2021, 30(6): 66703-066703.
[8]	. [J]. 中国物理B, 2021, 30(4): 40501-.
[9]	. [J]. 中国物理B, 2020, 29(12): 120502-.
[10]	常娜娜, 景文泉, 张钰, 张爱霞, 薛具奎, 寇谡鹏. Collapses-revivals phenomena induced by weak magnetic flux in diamond chain[J]. 中国物理B, 2020, 29(1): 10306-010306.
[11]	秦杰利. Accelerate Bose-Einstein condensate by interaction[J]. 中国物理B, 2019, 28(12): 126701-126701.
[12]	郑浪, 张义财, 刘超飞. Propagation of dark soliton interacting with domain wall in two immiscible Bose-Einstein condensates[J]. 中国物理B, 2019, 28(11): 116701-116701.
[13]	李昊, 陈方林. SU(3) spin-orbit-coupled Bose-Einstein condensate confined in a harmonic plus quartic trap[J]. 中国物理B, 2019, 28(7): 70302-070302.
[14]	陈光平, 乔昌兵, 郭慧, 王林雪, 王雅君, 谭仁兵. Ground-state vortex structures of a rotating binary dipolar Bose-Einstein condensate confined in harmonic plus quartic potential[J]. 中国物理B, 2019, 28(1): 10308-010308.
[15]	郭西华, 徐天赋, 刘承师. Topologically protected edge gap solitons of interacting Bosons in one-dimensional superlattices[J]. 中国物理B, 2018, 27(6): 60307-060307.