Solitons in One-Dimensional Bose-Einstein Condensate with Higher-Order Interactions

被引:8
作者
Wang, Ying [1 ]
Wang, Wei [2 ]
Zhou, Shu-Yu [3 ]
机构
[1] Jiangsu Univ Sci & Technol, Sch Sci, Zhenjiang 212003, Peoples R China
[2] Heriot Watt Univ, Inst Photon & Quantum Sci, Sch Engn & Phys Sci, Edinburgh EH14 4AS, Midlothian, Scotland
[3] Chinese Acad Sci, Shanghai Inst Opt & Fine Mech, Key Lab Quantum Opt, Shanghai 201800, Peoples R China
基金
中国国家自然科学基金;
关键词
nonlinear Schrodinger equation; higher-order nonlinearity; soliton; VARIABLE-COEFFICIENTS; EQUATIONS; ATOMS;
D O I
10.1088/0253-6102/68/5/623
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We model a one-dimensional Bose-Einstein condensate with the one-dimensional Gross-Pitaevskii equation (1D GPE) incorporating higher-order interaction effects. Based on the F-expansion method, we analytically solve the 1D GPE, identifying the typical soliton solution under certain experimental settings within the general wave-like solution set, and demonstrating the applicability of the theoretical treatment that is employed.
引用
收藏
页码:623 / 626
页数:4
相关论文
共 15 条
[1]   The extended F-expansion method and its application for a class of nonlinear evolution equations [J].
Abdou, M. A. .
CHAOS SOLITONS & FRACTALS, 2007, 31 (01) :95-104
[2]   Class of solitary wave solutions of the one-dimensional Gross-Pitaevskii equation [J].
Atre, Rajneesh ;
Panigrahi, Prasanta K. ;
Agarwal, G. S. .
PHYSICAL REVIEW E, 2006, 73 (05)
[3]   Exact Projective Excitations of a Generalized (3+1)-Dimensional Gross-Pitaevskii System with Varying Parameters [J].
Fei, Jin-Xi ;
Zheng, Chun-Long .
CHINESE JOURNAL OF PHYSICS, 2013, 51 (02) :200-208
[4]   Beyond the Fermi pseudopotential: A modified Gross-Pitaevskii equation [J].
Fu, HX ;
Wang, YZ ;
Gao, B .
PHYSICAL REVIEW A, 2003, 67 (05) :6
[5]   Creation of polar and nonpolar ultra-long-range Rydberg molecules [J].
Greene, CH ;
Dickinson, AS ;
Sadeghpour, HR .
PHYSICAL REVIEW LETTERS, 2000, 85 (12) :2458-2461
[6]   Fast quantum gates for neutral atoms [J].
Jaksch, D ;
Cirac, JI ;
Zoller, P ;
Rolston, SL ;
Côté, R ;
Lukin, MD .
PHYSICAL REVIEW LETTERS, 2000, 85 (10) :2208-2211
[7]   Modification of Band Gap of β-SiC by N-Doping [J].
Liu Hong-Sheng ;
Fang Xiao-Yong ;
Song Wei-Li ;
Hou Zhi-Ling ;
Lu Ran ;
Yuan Jie ;
Cao Mao-Sheng .
CHINESE PHYSICS LETTERS, 2009, 26 (06)
[8]   Dipole blockade and quantum information processing in mesoscopic atomic ensembles [J].
Lukin, MD ;
Fleischhauer, M ;
Cote, R ;
Duan, LM ;
Jaksch, D ;
Cirac, JI ;
Zoller, P .
PHYSICAL REVIEW LETTERS, 2001, 87 (03) :37901-1
[9]   The stability condition and collective excitation of a trapped Bose-Einstein condensate with higher-order interactions [J].
Qi, Wei ;
Liang, Zhaoxin ;
Zhang, Zhidong .
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 2013, 46 (17)
[10]   Quantum information with Rydberg atoms [J].
Saffman, M. ;
Walker, T. G. ;
Molmer, K. .
REVIEWS OF MODERN PHYSICS, 2010, 82 (03) :2313-2363