Integrability of interacting two-level boson systems

被引:11
作者
Benet, L [1 ]
Jung, C [1 ]
Leyvraz, F [1 ]
机构
[1] Univ Nacl Autonoma Mexico, Ctr Ciencias Fist, Cuernavaca 62210, Morelos, Mexico
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2003年 / 36卷 / 15期
关键词
D O I
10.1088/0305-4470/36/15/101
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We prove that a wide class of two-level boson systems interacting through k-body forces is integrable in the semiclassical limit irrespective of the value of the parameters of the model. This class of models includes number-conserving Hamiltonians, and interactions which do not conserve the particle number. Applications to two-component and atom-molecule Bose-Einstein condensates at zero temperature as well as to the bosonic k-body embedded ensembles of Gaussian random matrices in the dense limit are discussed.
引用
收藏
页码:L217 / L222
页数:6
相关论文
共 30 条
[1]   Integrable model for interacting electrons in metallic grains [J].
Amico, L ;
Di Lorenzo, A ;
Osterloh, A .
PHYSICAL REVIEW LETTERS, 2001, 86 (25) :5759-5762
[2]  
[Anonymous], 1994, Algebraic Methods in Molecular and Nuclear Physics
[3]  
ARNOLD VI, 1978, GRADUATE TEXTS MATH, V60
[4]   Spectral properties of the k-body embedded Gaussian ensembles of random matrices for bosons [J].
Asaga, T ;
Benet, L ;
Rupp, T ;
Weidenmüller, HA .
ANNALS OF PHYSICS, 2002, 298 (02) :229-247
[5]   Non-ergodic behaviour of the k-body embedded Gaussian random ensembles for bosons [J].
Asaga, T ;
Benet, L ;
Rupp, T ;
Weidenmüller, HA .
EUROPHYSICS LETTERS, 2001, 56 (03) :340-346
[6]   Review of the k-body embedded ensembles of Gaussian random matrices [J].
Benet, L ;
Weidenmüller, HA .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (12) :3569-3593
[8]   Integrability of the pairing Hamiltonian [J].
Cambiaggio, MC ;
Rivas, AMF ;
Saraceno, M .
NUCLEAR PHYSICS A, 1997, 624 (02) :157-167
[9]   Spectral properties of coupled Bose-Einstein condensates [J].
Franzosi, R ;
Penna, V .
PHYSICAL REVIEW A, 2001, 63 (04) :1-8
[10]  
Goldstein H., 1950, Classical Mechanics