Lattice solitons in Bose-Einstein condensates

被引：159

作者：

Efremidis, NK ^{[1
]}

Christodoulides, DN ^{[1
]}

机构：

[1] Univ Cent Florida, CREOL, Sch Opt, Orlando, FL 32816 USA

来源：

PHYSICAL REVIEW A | 2003年 / 67卷 / 06期

关键词：

D O I：

10.1103/PhysRevA.67.063608

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We systematically study the properties of lattice solitons in Bose-Einstein condensates with either attractive or repulsive atom interactions. This is done, by exactly solving the mean-field Gross-Pitaevskii equation in the presence of a periodic potential. We find new families of lattice soliton solutions that are characterized by the position of the energy eigenvalue within the associated band structure. These include lattice solitons in condensates with either attractive or repulsive atom interactions that exist in finite or semi-infinite gaps, as well as nonlinear modes that exhibit atomic population cutoffs.

引用

页数：9

共 36 条

[1] 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

[2] SELF-INDUCED TRANSPARENCY SOLITONS IN NONLINEAR REFRACTIVE PERIODIC MEDIA [J].

ACEVES, AB ;

WABNITZ, S .

PHYSICS LETTERS A, 1989, 141 (1-2) :37-42

[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] Macroscopic quantum interference from atomic tunnel arrays [J].

Anderson, BP ;

Kasevich, MA .

SCIENCE, 1998, 282 (5394) :1686-1689

[5] Bloch oscillations of atoms in an optical potential [J].

BenDahan, M ;

Peik, E ;

Reichel, J ;

Castin, Y ;

Salomon, C .

PHYSICAL REVIEW LETTERS, 1996, 76 (24) :4508-4511

[6] Bose-Einstein condensates in spatially periodic potentials [J].

Berg-Sorensen, K ;

Molmer, K .

PHYSICAL REVIEW A, 1998, 58 (02) :1480-1484

[7] Stability of attractive Bose-Einstein condensates in a periodic potential [J].

Bronski, J.C. ;

Carr, L.D. ;

Carretero-González, R. ;

Deconinck, B. ;

Kutz, J.N. ;

Promislow, K. .

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2001, 64 (5 II) :1-056615

[8] Stability of repulsive Bose-Einstein condensates in a periodic potential [J].

Bronski, JC ;

Carr, LD ;

Deconinck, B ;

Kutz, JN ;

Promislow, K .

PHYSICAL REVIEW E, 2001, 63 (03)

[9] Bose-Einstein condensates in standing waves: The cubic nonlinear Schrodinger equation with a periodic potential [J].

Bronski, JC ;

Carr, LD ;

Deconinck, B ;

Kutz, JN .

PHYSICAL REVIEW LETTERS, 2001, 86 (08) :1402-1405

[10] Superfluid and dissipative dynamics of a Bose-Einstein condensate in a periodic optical potential [J].

Burger, S ;

Cataliotti, FS ;

Fort, C ;

Minardi, F ;

Inguscio, M ;

Chiofalo, ML ;

Tosi, MP .

PHYSICAL REVIEW LETTERS, 2001, 86 (20) :4447-4450

← 1 2 3 4 →