Effective-range description of a Bose gas under strong one- or two-dimensional confinement

被引:46
作者
Naidon, Pascal
Tiesinga, Eite
Mitchell, William F.
Julienne, Paul S.
机构
[1] Natl Inst Stand & Technol, Atom Phys Div, Gaithersburg, MD 20899 USA
[2] Natl Inst Stand & Technol, Dept Math & Computat Sci, Gaithersburg, MD 20899 USA
来源
NEW JOURNAL OF PHYSICS | 2007年 / 9卷
关键词
D O I
10.1088/1367-2630/9/1/019
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We point out that theories describing s-wave collisions of bosonic atoms confined in one-dimensional (1D) or two-dimensional (2D) geometries can be extended to much tighter confinements than previously thought. This is achieved by replacing the scattering length by an energy-dependent scattering length which was already introduced for the calculation of energy levels under 3D confinement. This replacement accurately predicts the position of confinement-induced resonances in strongly confined geometries.
引用
收藏
页数:12
相关论文
共 34 条
[1]   Atom-atom scattering under cylindrical harmonic confinement: Numerical and analytic studies of the confinement induced resonance [J].
Bergeman, T ;
Moore, MG ;
Olshanii, M .
PHYSICAL REVIEW LETTERS, 2003, 91 (16)
[2]   THEORY OF THE EFFECTIVE RANGE IN NUCLEAR SCATTERING [J].
BETHE, HA .
PHYSICAL REVIEW, 1949, 76 (01) :38-50
[3]   Fermi pseudopotential approximation: Two particles under external confinement [J].
Blume, D ;
Greene, CH .
PHYSICAL REVIEW A, 2002, 65 (04) :436131-436136
[4]   Pseudopotential model of ultracold atomic collisions in quasi-one- and two-dimensional traps [J].
Bolda, EL ;
Tiesinga, E ;
Julienne, PS .
PHYSICAL REVIEW A, 2003, 68 (03) :8
[5]   Effective-scattering-length model of ultracold atomic collisions and Feshbach resonances in tight harmonic traps [J].
Bolda, EL ;
Tiesinga, E ;
Julienne, PS .
PHYSICAL REVIEW A, 2002, 66 (01) :7
[6]   Two cold atoms in a harmonic trap [J].
Busch, T ;
Englert, BG ;
Rzazewski, K ;
Wilkens, M .
FOUNDATIONS OF PHYSICS, 1998, 28 (04) :549-559
[7]   A Bose-Einstein condensate in an optical lattice [J].
Denschlag, JH ;
Simsarian, JE ;
Häffner, H ;
McKenzie, C ;
Browaeys, A ;
Cho, D ;
Helmerson, K ;
Rolston, SL ;
Phillips, WD .
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 2002, 35 (14) :3095-3110
[8]  
Erdelyi A, 1953, HIGHER TRANSCENDENTA
[9]  
Fermi E., 1934, NUOVO CIMENTO, V11, P157, DOI [10.1007/BF02959829, DOI 10.1007/BF02959829]
[10]   Analytical calculation of cold-atom scattering [J].
Flambaum, VV ;
Gribakin, GF ;
Harabati, C .
PHYSICAL REVIEW A, 1999, 59 (03) :1998-2005