Dynamic stability and manipulation of bright matter-wave solitons by optical lattices in Bose–Einstein condensates

doi:10.1088/1674-1056/21/2/020306

中国物理B ›› 2012, Vol. 21 ›› Issue (2): 20306-020306.doi: 10.1088/1674-1056/21/2/020306

宋昌盛,黎菁,宗丰德

收稿日期:2011-06-09 修回日期:2011-08-10 出版日期:2012-01-30 发布日期:2012-01-30
通讯作者: 宗丰德,fdzong@zjnu.cn E-mail:fdzong@zjnu.cn

Dynamic stability and manipulation of bright matter-wave solitons by optical lattices in Bose–Einstein condensates

Song Chang-Sheng(宋昌盛), Li Jing(黎菁), and Zong Feng-De(宗丰德)^†

Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China

Received:2011-06-09 Revised:2011-08-10 Online:2012-01-30 Published:2012-01-30
Contact: Zong Feng-De,fdzong@zjnu.cn E-mail:fdzong@zjnu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10672147 and 11072219), the Natural Science Foundation of Zhejiang Province, China (Grant Nos. Y605312 and Y1080959), and the Foundation of Department of Education of Zhejiang Province, China (Grant No. 20030704).

摘要/Abstract

Abstract: An extended variation approach to describing the dynamic evolution of self-attractive Bose-Einstein condensates is developed. We consider bright matter-wave solitons in the presence of a parabolic magnetic potential and a time-space periodic optical lattice. The dynamics of condensates is shown to be well approximated by four coupled nonlinear differential equations. A noteworthy feature is that the extended variation approach gives a critical strength ratio to support multiple stable lattice sites for the condensate. We further examine the existence of the solitons and their stabilities at the multiple stable lattice sites. In this case, the analytical predictions of Bose-Einstein condensates variational dynamics are found to be in good agreement with numerical simulations. We then find a stable region for successful manipulating matter-wave solitons without collapse, which are dragged from an initial stationary to a prescribed position by a moving periodic optical lattice.

Key words: Bose-Einstein condensates, Gross-Pitaevskii equation, matter-wave solitons, controlled manipulation

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

03.75.Lm

05.45.Yv (Solitons) 42.65.Tg (Optical solitons; nonlinear guided waves)

宋昌盛, 黎菁, 宗丰德. [J]. 中国物理B, 2012, 21(2): 20306-020306.

Song Chang-Sheng(宋昌盛), Li Jing(黎菁), and Zong Feng-De(宗丰德) . Dynamic stability and manipulation of bright matter-wave solitons by optical lattices in Bose–Einstein condensates[J]. Chin. Phys. B, 2012, 21(2): 20306-020306.

参考文献 38

[1]	Anderson M H, Matthews J R and Wieman C E 1995 emphScience 269 198
[2]	Dalfovo F, Giorgini S, Pitaevskii L P and Stringari S 1999 emphRev. Mod. Phys. 71 463
[3]	Anderson B P and Kasevich M A 1998 emphScience 282 1686
[4]	Ovchinnikov Y B, Muller J H, Doery M R, Vredenbregt E J, Helmerson K, Rolston S L and Phillips W D 1999 emphPhys. Rev. Lett. 83 284
[5]	Jaksch D, Bruder C, Cirac J I, Gardiner C W and Zoller P 1998 emphPhys. Rev. Lett. 81 3108
[6]	Choi D I and Niu Q 1999 emphPhys. Rev. Lett. 82 2022
[7]	Carr L D and Brand J 2004 emphPhys. Rev. A 70 033607
[8]	Cornish S L, Claussen N R, Roberts J L, Cornell E A and Wieman C E 2000 emphPhys. Rev. Lett. 85 1795
[9]	Qian C, Wang L L and Zhang J F 2011 emphActa Phys. Sin. 60 064214 (in Chinese)
[10]	Burlak G and Malomed B A 2008 emphPhys. Rev. A 77 053606
[11]	Brazhnyi V A and Konotop V V 2005 emphPhys. Rev. A 72 033615
[12]	Kevrekidis P G, Theocharis G, Frantzeskakis D J and Malomed B A 2003 emphPhys. Rev. Lett. 90 230401
[13]	Jona-Lasinio M, Morsch O, Cristiani M, Malossi N, M黮ler J H, Courtade E, Anderlini M and Arimondo E 2003 emphPhys. Rev. Lett. 91 230406
[14]	Caul C, Lima R P A, Diaz E, M黮ler C A and Dom'hinguez-Adame F 2009 emphPhys. Rev. Lett. 102 255303
[15]	Greiner M, Mandel O, Esslinger T, Hflnsch T W and Bloch I 2002 emphNature (London) 415 39
[16]	Herring G, Kevrekidis P G, Carretero-Gonz醠ez R, Malomed B A, Frantzeskakis D J and Bishop A R 2005 emphPhys. Lett. A 345 144
[17]	Carretero-Gonz醠ez R, Frantzeskakis D J and Kevrekidis P G 2008 emphNonlinearity 21 R139
[18]	Strecker K E, Partridge G B, Truscott A G and Hulet R G 2002 emphNature (London) 417 150
[19]	Pitaevskii L P 1961 emphSov. Phys. JETP 13 451
[20]	P閞ez-Garc'hia V M, Michinel H and Herrero H 1998 emphPhys. Rev. A 57 3837
[21]	Morsch O and Oberthaler M 2006 emphRev. Mod. Phys. 78 179
[22]	Brazhnyi V A and Konotop V V 2004 emphMod. Phys. Lett. B 18 627
[23]	Khaykovich L, Schreck F, Ferrari G, Bourdel T, Cubizolles J, Carr L D, Castin Y and Salomon C 2002 emphScience 296 1290
[24]	Ablowitz M and Segur H 1981 emphSolitons and the Inverse Scattering Transforms (Philadelphia: SIAM)
[25]	Elgin J N 1993 emphPhys. Rev. A 47 4331
[26]	Whitham G 1974 emphLinear and Nonlinear Waves (New York: Wiley-Interscience)
[27]	Desaix M, Anderson D and Lisak M 1991 emphJ. Opt. Soc. Am. B 8 2082
[28]	P閞ez-Garc'hia V M, Michinel H, Cirac J I, Lewenstein M and Zoller P 1997 emphPhys. Rev. A 56 1424
[29]	Anderson D 1983 emphPhys. Rev. A 27 3135
[30]	Malomed B A 2002 emphProg. Opt. 43 69
[31]	Brand J and Kolovsky A R 2006 emphEur. Phys. J. D 10 1140
[32]	Trombettoni A and Smerzi A 2001 emphPhys. Rev. Lett. 86 2353
[33]	Drazin P G 1992 emphNonlinear Systems (Cambridge: Cambridge University)
[34]	Zong F D, Yang Y and Zhang J F 2009 emphActa Phys. Sin. 58 3670 (in Chinese)
[35]	Matuszewsiki M, Malomed B A and Trippenbach M 2007 emphPhys. Rev. A 75 063621
[36]	Kevrekids P G, Frantzeskakis D J, Carretero-Gonz醠ez R, Malomed B A, Herring G and Bishop A R 2005 emphPhys. Rev. A 71 023614
[37]	Nistazakis H E, Kevrekidis P G, Malomed B A, Frantzeskakis D J and Bishop A R 2002 emphPhys. Rev. E 66 015601
[38]	Theocharis G, Frantzeskakis D J, Carretero-Gonz醠ez R, Kevrekidis P G and Malomed B A 2005 emphPhys. Rev. E 71 017602

Metrics

Viewed

Full text

HTML			PDF

最新录用	在线预览	正式出版	最新录用	在线预览	正式出版
0	0	0	0	0	78

	来源	本网站

	次数	78
	比例	100%

Abstract

424

最新录用	在线预览	正式出版

0	0	424

	来源	本网站

	次数	424
	比例	100%

Cited

Web of Science	Crossref	ScienceDirect	Search for Citations in Google Scholar >>


This page requires you have already subscribed to WoS.

Shared

Dynamic stability and manipulation of bright matter-wave solitons by optical lattices in Bose–Einstein condensates

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 38

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Xiao-Qiang Su(苏晓强), Zong-Ju Xu(许宗菊), and You-Quan Zhao(赵有权). Entanglement and thermalization in the extended Bose-Hubbard model after a quantum quench: A correlation analysis[J]. 中国物理B, 2023, 32(2): 20506-020506.
[2]	Liangwei Wang(王良伟), Kai Wen(文凯), Fangde Liu(刘方德), Yunda Li(李云达), Pengjun Wang(王鹏军), Lianghui Huang(黄良辉), Liangchao Chen(陈良超), Wei Han(韩伟), Zengming Meng(孟增明), and Jing Zhang(张靖). Experimental realization of two-dimensional single-layer ultracold gases of ⁸⁷Rb in an accordion lattice[J]. 中国物理B, 2022, 31(10): 103401-103401.
[3]	Geng Li(李更), Shiyu Zhu(朱诗雨), Peng Fan(范朋), Lu Cao(曹路), and Hong-Jun Gao(高鸿钧). Exploring Majorana zero modes in iron-based superconductors[J]. 中国物理B, 2022, 31(8): 80301-080301.
[4]	S Wang(王双), Y H Liu(刘元慧), and T F Xu(徐天赋). Gap solitons of spin-orbit-coupled Bose-Einstein condensates in $\mathcal{PT}$ periodic potential[J]. 中国物理B, 2022, 31(7): 70306-070306.
[5]	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.
[6]	Juewen Fan(范珏雯), Bingyan Jiang(江丙炎), Jiaji Zhao(赵嘉佶), Ran Bi(毕然), Jiadong Zhou(周家东), Zheng Liu(刘政), Guang Yang(杨光), Jie Shen(沈洁), Fanming Qu(屈凡明), Li Lu(吕力), Ning Kang(康宁), and Xiaosong Wu(吴孝松). Asymmetric Fraunhofer pattern in Josephson junctions from heterodimensional superlattice V₅S₈[J]. 中国物理B, 2022, 31(5): 57402-057402.
[7]	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.
[8]	Chao Zeng(曾超), Zhiwei Guo(郭志伟), Kejia Zhu(祝可嘉), Caifu Fan(范才富), Guo Li(李果), Jun Jiang(江俊), Yunhui Li(李云辉), Haitao Jiang(江海涛), Yaping Yang(羊亚平), Yong Sun(孙勇), and Hong Chen(陈鸿). Efficient and stable wireless power transfer based on the non-Hermitian physics[J]. 中国物理B, 2022, 31(1): 10307-010307.
[9]	Lupei Qin(秦陆培), Wei Feng(冯伟), and Xin-Qi Li(李新奇). Cross correlation mediated by distant Majorana zero modes with no overlap[J]. 中国物理B, 2022, 31(1): 17402-017402.
[10]	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.
[11]	Ji-Li Ma(马吉利), Xiao-Xun Li(李晓旬), Rui-Jin Cheng(程瑞锦), Ai-Xia Zhang(张爱霞), and Ju-Kui Xue(薛具奎). Dynamical stability of dipolar condensate in a parametrically modulated one-dimensional optical lattice[J]. 中国物理B, 2021, 30(6): 60307-060307.
[12]	Hui Guo(郭慧), Xu Qiu(邱旭), Yan Ma(马燕), Hai-Feng Jiang(姜海峰), and Xiao-Fei Zhang(张晓斐). Dynamics of bright soliton in a spin-orbit coupled spin-1 Bose-Einstein condensate[J]. 中国物理B, 2021, 30(6): 60310-060310.
[13]	Sheng-Hui Zhao(赵生辉), Wang-Hao Tian(田王昊), Xue-Lian Liang(梁雪连), Ze He(何泽), Pei Wang(王培), Lu Ji(季鲁), Ming He(何明), and Hua-Bing Wang(王华兵). Transport properties of Tl₂Ba₂CaCu₂O₈ microbridges on a low-angle step substrate[J]. 中国物理B, 2021, 30(6): 60308-060308.
[14]	. [J]. 中国物理B, 2021, 30(3): 30302-.
[15]	. [J]. 中国物理B, 2020, 29(12): 120501-.