Moving bright solitons in a pseudo-spin polarization Bose-Einstein condensate

doi:10.1088/1674-1056/26/10/100304

中国物理B ›› 2017, Vol. 26 ›› Issue (10): 100304-100304.doi: 10.1088/1674-1056/26/10/100304

Moving bright solitons in a pseudo-spin polarization Bose-Einstein condensate

Tian-Fu Xu(徐天赋), Yu-Feng Zhang(张玉峰), Lei-Chao Xu(许磊超), Zai-Dong Li(李再东)

1. School of Science, Yanshan University, Qinhuangdao 066004, China;
2. Department of Applied Physics, Hebei University of Technology, Tianjin 300401, China;
3. Key Laboratory of Electronic Materials and Devices of Tianjin, School of Electronics and Information Engineering, Hebei University of Technology, Tianjin 300401, China

收稿日期:2017-04-18 修回日期:2017-06-19 出版日期:2017-10-05 发布日期:2017-10-05
通讯作者: Tian-Fu Xu, Zai-Dong Li E-mail:tfxu@ysu.edu.cn;lizd@hebut.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11304270, 61774001, and 11475144) and the Key Project of Scientific and Technological Research of Hebei Province, China (Grant No. ZD2015133).

Moving bright solitons in a pseudo-spin polarization Bose-Einstein condensate

Tian-Fu Xu(徐天赋)¹, Yu-Feng Zhang(张玉峰)¹, Lei-Chao Xu(许磊超)¹, Zai-Dong Li(李再东)^2,3

1. School of Science, Yanshan University, Qinhuangdao 066004, China;
2. Department of Applied Physics, Hebei University of Technology, Tianjin 300401, China;
3. Key Laboratory of Electronic Materials and Devices of Tianjin, School of Electronics and Information Engineering, Hebei University of Technology, Tianjin 300401, China

Received:2017-04-18 Revised:2017-06-19 Online:2017-10-05 Published:2017-10-05
Contact: Tian-Fu Xu, Zai-Dong Li E-mail:tfxu@ysu.edu.cn;lizd@hebut.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11304270, 61774001, and 11475144) and the Key Project of Scientific and Technological Research of Hebei Province, China (Grant No. ZD2015133).

摘要/Abstract

摘要： We study the moving bright solitons in the weak attractive Bose-Einstein condensate with a spin-orbit interaction. By solving the coupled nonlinear Schrödinger equation with the variational method and the imaginary time evolution method, two kinds of solitons (plane wave soliton and stripe solitons) are found in different parameter regions. It is shown that the soliton speed dominates its structure. The detuning between the Raman beam and energy states of the atoms decides the spin polarization strength of the system. The soliton dynamics is also studied for various moving speed and we find that the shape of individual components can be kept when the speed of soliton is low.

关键词: moving bright solitons, spin-orbit interaction

Abstract: We study the moving bright solitons in the weak attractive Bose-Einstein condensate with a spin-orbit interaction. By solving the coupled nonlinear Schrödinger equation with the variational method and the imaginary time evolution method, two kinds of solitons (plane wave soliton and stripe solitons) are found in different parameter regions. It is shown that the soliton speed dominates its structure. The detuning between the Raman beam and energy states of the atoms decides the spin polarization strength of the system. The soliton dynamics is also studied for various moving speed and we find that the shape of individual components can be kept when the speed of soliton is low.

Key words: moving bright solitons, spin-orbit interaction

中图分类号: (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)

03.75.Lm

67.85.-d (Ultracold gases, trapped gases)

徐天赋, 张玉峰, 许磊超, 李再东. Moving bright solitons in a pseudo-spin polarization Bose-Einstein condensate[J]. 中国物理B, 2017, 26(10): 100304-100304.

Tian-Fu Xu(徐天赋), Yu-Feng Zhang(张玉峰), Lei-Chao Xu(许磊超), Zai-Dong Li(李再东). Moving bright solitons in a pseudo-spin polarization Bose-Einstein condensate[J]. Chin. Phys. B, 2017, 26(10): 100304-100304.

参考文献 36

[1]	Xiao D, Chang M C and Niu Q 2010 Rev. Mod. Phys. 82 1959
[2]	Hasan M Z and Kane C L 2010 Rev. Mod. Phys. 82 3045
[3]	Žutić I, Fabian J and Sarma S D 2004 Rev. Mod. Phys. 76 323
[4]	Lin Y J, Jiménez-García K and Spielman I B 2011 Nature 471 83
[5]	Lin Y J, Compton R L, Perry A R, Phillips W D, Porto J V and Spielman I B 2009 Phys. Rev. Lett. 102 130401
[6]	Lin Y J, Compton R L, Jimenez-Garca K, Porto J V and Spielman I B 2009 Nature 462 628
[7]	Galitski V and Spielman I B 2013 Nature 4 49
[8]	Burger S, Bongs K, Dettmer S, Ertmer W, Sengstock K, Sanpera A, Shlyapnikov G V and Lewenstein M 1999 Phys. Rev. Lett. 83 5198
[9]	Khaykovich L, Schreck F, Ferrari G, Bourdel T, Cubizolles J, Carr L D, Castin Y and Salomon C 2002 Science 296 1290
[10]	Kevrekidis P G and Frantzeskakis D J 2016 Rev. Phys. 1 140
[11]	Zhu Q, Zhang C and Wu B 2013 Europhys. Lett. 100 50003
[12]	Wu C, Mondragon-Shem I and Zhou X F 2011 Chin. Phys. Lett. 28 097102
[13]	Wu C 2009 Mod. Phys. Lett. B 23 1
[14]	Xu Y, Zhang Y and Wu B 2013 Phys. Rev. A 87 013614
[15]	Gautam S and Adhikari S K 2015 Phys. Rev. A 91 063617
[16]	Li Y E and Xue J K 2016 Chin. Phys. Lett. 33 100502
[17]	Liu Y and Zhang S Y 2016 Chin. Phys. B 25 090304
[18]	Ohberg P and Santos L 2001 Phys. Rev. Lett. 86 2918
[19]	Achilleos V, Stockhofe J, Kevrekidis P G, Frantzeskakis D J and Schmelcher P 2013 Europhys. Lett. 103 20002
[20]	Kevrekidis P G, Susanto H, Carretero-González R, Malomed B A and Frantzeskakis D J 2005 Phys. Rev. E 72 066604
[21]	Becker C, Stellmer S, Soltan-Panahi P, Dörscher S, Baumert M, Richter E M, Kronjäger J, Bongs K and Sengstock K 2008 Nat. Phys. 4 496
[22]	Hamner C, Chang J J, Engels P and Hoefer M A 2011 Phys. Rev. Lett. 106 065302
[23]	Pérez-García V M and Beitia J B 2005 Phys. Rev. A 72 033620
[24]	Salasnich L and Malomed B A 2006 Phys. Rev. A 74 053610
[25]	Kartashov Y V, Konotop V V and Abdullaev F K 2013 Phys. Rev. Lett. 111 060402
[26]	Celik C and Duman M 2012 J. Comput. Phys. 231 1743
[27]	Chiofalo M L, Succi S and Tosi M P 2000 Phys. Rev. E 62 7438
[28]	Zhai H 2015 Rep. Prog. Phys. 78 026001
[29]	Achilleos V, Frantzeskakis D J, Kevrekidis P G and Pelinovsky D E 2013 Phys. Rev. Lett. 110 264101
[30]	Xu Y, Zhang Y and Zhang C 2015 Phys. Rev. A 92 013633
[31]	He P B, Gu G N and Pan A L 2012 Eur. Phys. J. B 85 119
[32]	He P B, Yan H, Cai M Q and Li Z D 2015 J. Appl. Phys. B 118 223901
[33]	Zhang Y, Xu Y and Busch T 2015 Phys. Rev. A 91 043629
[34]	Gutohrlein R, Schnabel J, Iskandarov I, Cartarius H, Main J and Wunner G 2015 J. Phys. A:Math. Theor. 48 33
[35]	Zhou Z, Zhong H H, Zhu B, Xiao F X, Zhu K and Tan J T 2016 Chin. Phys. Lett. 33 110301
[36]	Newell A C 1987 Solitons in Mathematics and Physics (Philadelphia:Society for Industrial and Applied Mathematics)

Moving bright solitons in a pseudo-spin polarization Bose-Einstein condensate

Moving bright solitons in a pseudo-spin polarization Bose-Einstein condensate

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 36

相关文章 13

Metrics

本文评价

推荐阅读 0

[1]	Ying-Jie Chen(陈英杰) and Feng-Lan Shao(邵凤兰). Probability density and oscillating period of magnetopolaron in parabolic quantum dot in the presence of Rashba effect and temperature[J]. 中国物理B, 2021, 30(11): 110304-110304.
[2]	赵阳, 阳成熙, 朱家玺, 林峰, 方哲宇, 朱星. Optical spin-to-orbital angular momentum conversion instructured optical fields[J]. 中国物理B, 2020, 29(6): 67301-067301.
[3]	刘端阳, 夏建白. Spin flip in single quantum ring with Rashba spin-orbit interation[J]. 中国物理B, 2018, 27(3): 37201-037201.
[4]	李鹏, 吴东京, 刘圣, 章毅, 郭旭岳, 齐淑霞, 李渝, 赵建林. Three-dimensional modulations on the states of polarization of light fields[J]. 中国物理B, 2018, 27(11): 114201-114201.
[5]	徐天赋. Two types of ground-state bright solitons in a coupled harmonically trapped pseudo-spin polarization Bose–Einstein condensate[J]. 中国物理B, 2018, 27(1): 16702-016702.
[6]	凌霁玮, 刘彦闻, 金昭, 黄沙, 王伟懿, 张成, 袁翔, 刘姗姗, 张恩泽, 黄策, 夏正才, 修发贤. Two-dimensional transport and strong spin-orbit interaction in SrMnSb₂[J]. 中国物理B, 2018, 27(1): 17504-017504.
[7]	A Ahmadi Fouladi. Quantum transport through a Z-shaped silicene nanoribbon[J]. 中国物理B, 2017, 26(4): 47304-047304.
[8]	汪萨克, 汪军, 刘军丰. Topological phase in one-dimensional Rashba wire[J]. 中国物理B, 2016, 25(7): 77305-077305.
[9]	Sukirti Gumber, Manoj Kumar, Pradip Kumar Jha, Man Mohan. Thermodynamic behaviour of Rashba quantum dot in the presence of magnetic field[J]. 中国物理B, 2016, 25(5): 56502-056502.
[10]	吴丽君, 韩宇. Pure spin polarized transport based on Rashba spin–orbit interaction through the Aharonov–Bohm interferometer embodied four-quantum-dot ring[J]. 中国物理B, 2013, 22(4): 47302-047302.
[11]	郝亚非. Spin–orbit interaction in coupled quantum wells[J]. 中国物理B, 2013, 22(1): 17102-017102.
[12]	朱国宝 . Spin Hall and spin Nernst effects in graphene with intrinsic and Rashba spin-orbit interactions[J]. 中国物理B, 2012, 21(11): 117309-117309.
[13]	李玉现, 李伯臧. Effects of spin-orbit interaction and magnetic field on the electron transport in quasi-1D ferromagnetic/semiconductor/ferromagnetic system　　[J]. 中国物理B, 2005, 14(5): 1021-1024.