Full-time dynamics of modulational instability in spinor Bose-Einstein condensates

被引:21
作者
Doktorov, Evgeny V.
Rothos, Vassilis M.
Kivshar, Yuri S.
机构
[1] B1 Stepanov Inst Phys, Minsk 220072, BELARUS
[2] Aristotle Univ Thessaloniki, Fac Technol, Dept Math Phys & Computat Sci, Thessaloniki 54124, Greece
[3] Australian Natl Univ, Res Sch Phys Sci & Engn, Australian Ctr Excellence Quantum Atom Opt, Nanolinear Phys Ctr, Canberra, ACT 0200, Australia
来源
PHYSICAL REVIEW A | 2007年 / 76卷 / 01期
关键词
UNSTABLE PLANE-WAVES; HOMOCLINIC CONNECTIONS; SOLITONS;
D O I
10.1103/PhysRevA.76.013626
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We describe the full-time dynamics of modulational instability in F=1 spinor Bose-Einstein condensates for the case of the integrable three-component model associated with the matrix nonlinear Schrodinger equation. We obtain an exact homoclinic solution of this model by employing the dressing method which we generalize to the case of the higher-rank projectors. This homoclinic solution describes the development of modulational instability beyond the linear regime, and we show that the modulational instability demonstrates the reversal property when the growth of the modulated amplitude is changed by its exponential decay.
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页数:6
相关论文
共 35 条
[1]   ON HOMOCLINIC STRUCTURE AND NUMERICALLY INDUCED CHAOS FOR THE NONLINEAR SCHRODINGER-EQUATION [J].
ABLOWITZ, MJ ;
HERBST, BM .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1990, 50 (02) :339-351
[2]   Discretizations, integrable systems and computation [J].
Ablowitz, MJ ;
Herbst, BM ;
Schober, CM .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (48) :10671-10693
[3]  
Ablowitz MJ., 1991, Nonlinear Evolution Equations and Inverse Scattering
[4]  
Akhmediev N., 1997, SOLITONS NONLINEAR P
[5]  
AKHMEDIEV NN, 1985, ZH EKSP TEOR FIZ+, V89, P1542
[6]   Observation of spinor dynamics in optically trapped 87Rb Bose-Einstein condensates -: art. no. 140403 [J].
Chang, MS ;
Hamley, CD ;
Barrett, MD ;
Sauer, JA ;
Fortier, KM ;
Zhang, W ;
You, L ;
Chapman, MS .
PHYSICAL REVIEW LETTERS, 2004, 92 (14) :140403-1
[7]  
Doktorov EV, 2006, NATO SCI SER II-MATH, V201, P55
[8]   Hornoclinic orbits for soliton equations solvable via the quadratic bundle [J].
Doktorov, EV ;
Rothos, VM .
PHYSICS LETTERS A, 2003, 314 (1-2) :59-67
[9]   Nonfocusing instabilities in coupled, integrable nonlinear Schrodinger pdes [J].
Forest, MG ;
McLaughlin, DW ;
Muraki, DJ ;
Wright, OC .
JOURNAL OF NONLINEAR SCIENCE, 2000, 10 (03) :291-331
[10]   Sodium Bose-Einstein condensates in the F=2 state in a large-volume optical trap -: art. no. 090401 [J].
Görlitz, A ;
Gustavson, TL ;
Leanhardt, AE ;
Löw, R ;
Chikkatur, AP ;
Gupta, S ;
Inouye, S ;
Pritchard, DE ;
Ketterle, W .
PHYSICAL REVIEW LETTERS, 2003, 90 (09) :4