Transmission of matter-wave solitons through nonlinear traps and barriers

被引：74
作者：
Garnier, Josselin
Abdullaev, Fatkhulla Kh.
机构：
[1] Univ Paris 07, Lab Probabil & Modeles Aleatoires, F-75251 Paris 5, France
[2] Univ Paris 07, Lab Jacques Louis Lions, F-75251 Paris 5, France
[3] Uzbek Acad Sci, Inst Tech Phys, Tashkent 700084, Uzbekistan
来源：
PHYSICAL REVIEW A | 2006年 / 74卷 / 01期
关键词：
D O I：
10.1103/PhysRevA.74.013604
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
The transmissions of matter-wave solitons through linear and nonlinear inhomogeneities induced by the spatial variations of the trap and the scattering length in Bose-Einstein condensates are investigated. The enhanced transmission of a soliton through a linear trap by a modulation of the scattering length, is exhibited. The theory is based on the perturbed inverse scattering transform for solitons, and we show that radiation effects are important. Numerical simulations of the Gross-Pitaevskii equation confirm the theoretical predictions.
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页数：6
相关论文
共 24 条
[1]  
Abdullaev F., 1994, THEORY SOLITONS INHO
[2]   Propagation of matter-wave solitons in periodic and random nonlinear potentials [J].
Abdullaev, FK ;
Garnier, J .
PHYSICAL REVIEW A, 2005, 72 (06)
[3]  
Abdullaev FK, 2005, INT J MOD PHYS B, V19, P3415
[4]   Adiabatic compression of soliton matter waves [J].
Abdullaev, FK ;
Salerno, M .
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 2003, 36 (13) :2851-2859
[5]  
Azbel M. Y., 1998, PHYS-USP+, V41, P543
[6]   Dark soliton past a finite-size obstacle [J].
Bilas, N ;
Pavloff, N .
PHYSICAL REVIEW A, 2005, 72 (03)
[7]   Influence of nearly resonant light on the scattering length in low-temperature atomic gases [J].
Fedichev, PO ;
Kagan, Y ;
Shlyapnikov, GV ;
Walraven, JTM .
PHYSICAL REVIEW LETTERS, 1996, 77 (14) :2913-2916
[8]   Bound states of nonlinear Schrodinger equations with a periodic nonlinear microstructure [J].
Fibich, G. ;
Sivan, Y. ;
Weinstein, M. I. .
PHYSICA D-NONLINEAR PHENOMENA, 2006, 217 (01) :31-57
[9]   Interaction of dark solitons with localized impurities in Bose-Einstein condensates [J].
Frantzeskakis, DJ ;
Theocharis, G ;
Diakonos, FK ;
Schmelcher, P ;
Kivshar, YS .
PHYSICAL REVIEW A, 2002, 66 (05) :9
[10]   Asymptotic transmission of solitons through random media [J].
Garnier, J .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1998, 58 (06) :1969-1995
123