AN INTEGRABLE Q-DEFORMED MODEL FOR BOSONS INTERACTING WITH SPIN IMPURITIES

被引:13
作者
BOGOLIUBOV, NM [1 ]
RYBIN, AV [1 ]
TIMONEN, J [1 ]
机构
[1] UNIV HELSINKI,THEORET PHYS RES INST,SF-00014 HELSINKI,FINLAND
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1994年 / 27卷 / 11期
关键词
D O I
10.1088/0305-4470/27/11/003
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A composite quantum model on a lattice which describes the system of q-bosons interacting with U(q)[su(2)] spin impurities is introduced and solved exactly under periodic boundary conditions. In one limit the model is shown to become a new exactly soluble quantum system on a lattice which can be interpreted as a q-deformed version of the quantum Dicke model. In the limit of infinitesimal spacing the model is further reduced to a multilevel version of the previously introduced continuum-limit Dicke model. For spin 1/2 the previous results for this particular case are confirmed.
引用
收藏
页码:L363 / L367
页数:5
相关论文
共 7 条
[1]   EXACT SOLUTION OF A Q-BOSON HOPPING MODEL [J].
BOGOLIUBOV, NM ;
BULLOUGH, RK ;
PANG, GD .
PHYSICAL REVIEW B, 1993, 47 (17) :11495-11498
[2]   A Q-DEFORMED COMPLETELY INTEGRABLE BOSE-GAS MODEL [J].
BOGOLIUBOV, NM ;
BULLOUGH, RK .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (14) :4057-4071
[3]   QUANTUM ALGEBRA AS THE DYNAMIC SYMMETRY OF THE DEFORMED JAYNES-CUMMINGS MODEL [J].
CHAICHIAN, M ;
ELLINAS, D ;
KULISH, P .
PHYSICAL REVIEW LETTERS, 1990, 65 (08) :980-983
[4]  
Korepin V. E., 1993, QUANTUM INVERSE SCAT
[5]  
Kulish P. P., 1983, J SOVIET MATH, V23, P2435
[6]  
Rupasov V. I., 1984, Soviet Physics - JETP, V59, P478
[7]  
RUPASOV VI, 1982, SOV PHYS JETP, V56