Quantized quasi-two-dimensional Bose-Einstein condensates with spatially modulated nonlinearity

被引：144

作者：

Wang, Deng-Shan ^{[1
]}

Hu, Xing-Hua ^{[1
]}

Hu, Jiangping ^{[2
]}

Liu, W. M. ^{[1
]}

机构：

[1] Chinese Acad Sci, Inst Phys, Beijing Natl Lab Condensed Matter Phys, Beijing 100190, Peoples R China

[2] Purdue Univ, Dept Phys, W Lafayette, IN 47907 USA

来源：

PHYSICAL REVIEW A | 2010年 / 81卷 / 02期

基金：

中国博士后科学基金;

关键词：

SCHRODINGER-EQUATION; WAVES; GAS;

D O I：

10.1103/PhysRevA.81.025604

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We investigate the localized nonlinear matter waves of the quasi-two-dimensional Bose-Einstein condensates with spatially modulated nonlinearity in the harmonic potential. It is shown that all of the Bose-Einstein condensates, similar to the linear harmonic oscillator, can have an arbitrary number of localized nonlinear matter waves with discrete energies, which are mathematically exact orthogonal solutions of the Gross-Pitaevskii equation. Their properties are determined by the principal quantum number n and secondary quantum number l: the parity of the matter wave functions and the corresponding energy levels depend only on n, and the numbers of density packets for each quantum state depend on both n and l, which describe the topological properties of the atom packets. We also give an experimental protocol to observe these phenomena in future experiments.

引用

页数：4

共 43 条

[1] Propagation of matter-wave solitons in periodic and random nonlinear potentials [J].

Abdullaev, FK ;

Garnier, J .

PHYSICAL REVIEW A, 2005, 72 (06)

[2] Adiabatic dynamics of periodic waves in Bose-Einstein condensates with time dependent atomic scattering length [J].

Abdullaev, FK ;

Kamchatnov, AM ;

Konotop, VV ;

Brazhnyi, VA .

PHYSICAL REVIEW LETTERS, 2003, 90 (23) :4

[3]

Abramowitz M., 1964, HDB MATH FUNCTIONS, V55

[4] OBSERVATION OF BOSE-EINSTEIN CONDENSATION IN A DILUTE ATOMIC VAPOR [J].

ANDERSON, MH ;

ENSHER, JR ;

MATTHEWS, MR ;

WIEMAN, CE ;

CORNELL, EA .

SCIENCE, 1995, 269 (5221) :198-201

[5] Solitons with cubic and quintic nonlinearities modulated in space and time [J].

Avelar, A. T. ;

Bazeia, D. ;

Cardoso, W. B. .

PHYSICAL REVIEW E, 2009, 79 (02)

[6] Collective excitations of a degenerate gas at the BEC-BCS crossover [J].

Bartenstein, M ;

Altmeyer, A ;

Riedl, S ;

Jochim, S ;

Chin, C ;

Denschlag, JH ;

Grimm, R .

PHYSICAL REVIEW LETTERS, 2004, 92 (20) :203201-1

[7] Ground-state properties of magnetically trapped Bose-condensed rubidium gas [J].

Baym, G ;

Pethick, CJ .

PHYSICAL REVIEW LETTERS, 1996, 76 (01) :6-9

[8] Localized nonlinear waves in systems with time- and space-modulated nonlinearities [J].

Belmonte-Beitia, Juan ;

Perez-Garcia, Victor M. ;

Vekslerchik, Vadym ;

Konotop, Vladimir V. .

PHYSICAL REVIEW LETTERS, 2008, 100 (16)

[9] Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities [J].

Belmonte-Beitia, Juan ;

Perez-Garcia, Victor M. ;

Vekslerchik, Vadym ;

Torres, Pedro J. .

PHYSICAL REVIEW LETTERS, 2007, 98 (06)

[10] EVIDENCE OF BOSE-EINSTEIN CONDENSATION IN AN ATOMIC GAS WITH ATTRACTIVE INTERACTIONS [J].

BRADLEY, CC ;

SACKETT, CA ;

TOLLETT, JJ ;

HULET, RG .

PHYSICAL REVIEW LETTERS, 1995, 75 (09) :1687-1690

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