Dynamical localization of gap-solitons by time periodic forces

被引：20

作者：

Bludov, Yu. V. ^{[1
]}

Konotop, V. V. ^{[1
,2
]}

Salerno, M. ^{[3
,4
]}

机构：

[1] Univ Lisbon, Ctr Fis Teor & Computac, P-1649003 Lisbon, Portugal

[2] Univ Lisbon, Dept Fis, Fac Cincias, P-1749016 Lisbon, Portugal

[3] Univ Salerno, Dipartimento Fis ER Caianiello, I-84081 Baronissi, Italy

[4] Univ Salerno, Consorzio Nazl Interuniv Scie Fis Mat CNISM, I-84081 Baronissi, Italy

来源：

EPL | 2009年 / 87卷 / 02期

关键词：

WAVES;

D O I：

10.1209/0295-5075/87/20004

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The phenomenon of dynamical localization of matter wave solitons in optical lattices is first demonstrated and the conditions for its existence are discussed. In addition to the trapping linear periodic potential we use a periodic modulation of the nonlinearity in space to eliminate nonexistence regions of gap-solitons in reciprocal space. We show that when this condition is achieved, the observation of dynamical localization in true nonlinear regime becomes possible. The results apply to all systems described by the periodic nonlinear Schrodinger equation, including Bose-Einstein condensates of ultracold atoms trapped in optical lattices and arrays of waveguides or photonic crystals in nonlinear optics. Copyright (C) EPLA, 2009

引用

页数：6

共 26 条

[1] Generalized neighbor-interaction models induced by nonlinear lattices [J].

Abdullaev, F. Kh. ;

Bludov, Yu. V. ;

Dmitriev, S. V. ;

Kevrekidis, P. G. ;

Konotop, V. V. .

PHYSICAL REVIEW E, 2008, 77 (01)

[2] Nonlinear excitations in arrays of Bose-Einstein condensates [J].

Abdullaev, FK ;

Baizakov, BB ;

Darmanyan, SA ;

Konotop, VV ;

Salerno, M .

PHYSICAL REVIEW A, 2001, 64 (04) :436061-4360610

[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] Matter solitons in Bose-Einstein condensates with optical lattices [J].

Alfimov, GL ;

Konotop, VV ;

Salerno, M .

EUROPHYSICS LETTERS, 2002, 58 (01) :7-13

[5] Theory of nonlinear matter waves in optical lattices [J].

Brazhnyi, VA ;

Konotop, VV .

MODERN PHYSICS LETTERS B, 2004, 18 (14) :627-651

[6] 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

[7] Nonlinear waves in Bose-Einstein condensates:: physical relevance and mathematical techniques [J].

Carretero-Gonzalez, R. ;

Frantzeskakis, D. J. ;

Kevrekidis, P. G. .

NONLINEARITY, 2008, 21 (07) :R139-R202

[8] GAP SOLITONS AND THE NONLINEAR OPTICAL-RESPONSE OF SUPERLATTICES [J].

CHEN, W ;

MILLS, DL .

PHYSICAL REVIEW LETTERS, 1987, 58 (02) :160-163

[9] Instability and control of a periodically driven Bose-Einstein condensate [J].

Creffield, C. E. .

PHYSICAL REVIEW A, 2009, 79 (06)

[10] ENVELOPE-FUNCTION APPROACH FOR THE ELECTRODYNAMICS OF NONLINEAR PERIODIC STRUCTURES [J].

DESTERKE, CM ;

SIPE, JE .

PHYSICAL REVIEW A, 1988, 38 (10) :5149-5165

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