Freezing of nonlinear Bloch oscillations in the generalized discrete nonlinear Schrodinger equation

被引:0
作者
Cao, FJ
机构
[1] Univ Lisbon, Ctr Fis Teor & Computac, P-1649003 Lisbon, Portugal
[2] Univ Complutense Madrid, GISC, E-28040 Madrid, Spain
[3] Univ Complutense Madrid, Dept Fis Atom Mol & Nucl, E-28040 Madrid, Spain
来源
PHYSICAL REVIEW E | 2004年 / 70卷 / 03期
关键词
D O I
暂无
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
The dynamics in a nonlinear Schrodinger chain in a homogeneous electric field is studied. We show that discrete translational invariant integrability-breaking terms can freeze the Bloch nonlinear oscillations and introduce new faster frequencies in their dynamics. These phenomena are studied by direct numerical integration and through an adiabatic approximation. The adiabatic approximation allows a description in terms of an effective potential that greatly clarifies the phenomena.
引用
收藏
页数:6
相关论文
共 16 条
[1]   NONLINEAR DIFFERENTIAL-DIFFERENCE EQUATIONS [J].
ABLOWITZ, MJ ;
LADIK, JF .
JOURNAL OF MATHEMATICAL PHYSICS, 1975, 16 (03) :598-603
[2]   NONLINEAR DIFFERENTIAL-DIFFERENCE EQUATIONS AND FOURIER-ANALYSIS [J].
ABLOWITZ, MJ ;
LADIK, JF .
JOURNAL OF MATHEMATICAL PHYSICS, 1976, 17 (06) :1011-1018
[3]   Wannier functions analysis of the nonlinear Schrodinger equation with a periodic potential [J].
Alfimov, GL ;
Kevrekidis, PG ;
Konotop, VV ;
Salerno, M .
PHYSICAL REVIEW E, 2002, 66 (04) :6
[4]   DISCRETE VERSION OF THE NON-LINEAR SCHRODINGER EQUATION WITH LINEARLY CHI-DEPENDENT COEFFICIENTS [J].
BRUSCHI, M ;
LEVI, D ;
RAGNISCO, O .
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS, 1979, 53 (01) :21-30
[5]   ELECTRIC-FIELD-INDUCED NONLINEAR BLOCH OSCILLATIONS AND DYNAMICAL LOCALIZATION [J].
CAI, D ;
BISHOP, AR ;
GRONBECHJENSEN, N ;
SALERNO, M .
PHYSICAL REVIEW LETTERS, 1995, 74 (07) :1186-1189
[6]   DYNAMIC LOCALIZATION OF A CHARGED-PARTICLE MOVING UNDER THE INFLUENCE OF AN ELECTRIC-FIELD [J].
DUNLAP, DH ;
KENKRE, VM .
PHYSICAL REVIEW B, 1986, 34 (06) :3625-3633
[7]   DYNAMICS AND INTERACTION OF SOLITONS ON AN INTEGRABLE INHOMOGENEOUS LATTICE [J].
KONOTOP, VV ;
CHUBYKALO, OA ;
VAZQUEZ, L .
PHYSICAL REVIEW E, 1993, 48 (01) :563-568
[8]   On integrable discretization of the inhomogeneous Ablowitz-Ladik model [J].
Konotop, VV .
PHYSICS LETTERS A, 1999, 258 (01) :18-24
[9]   Interaction of a soliton with point impurities in an inhomogeneous, discrete nonlinear Schrodinger system [J].
Konotop, VV ;
Cai, D ;
Salerno, M ;
Bishop, AR ;
GronbechJensen, N .
PHYSICAL REVIEW E, 1996, 53 (06) :6476-6485
[10]  
KONOTOP VV, 1994, TEOR MAT FIZ, V99, P413