Quantum holonomy in the Lieb-Liniger model

被引:14
作者
Yonezawa, Nobuhiro [1 ]
Tanaka, Atushi [1 ,2 ]
Cheon, Taksu [3 ]
机构
[1] Osaka City Univ Adv Math Inst OCAMI, Sumiyoshi Ku, Osaka 5588585, Japan
[2] Tokyo Metropolitan Univ, Dept Phys, Hachioji, Tokyo 1920397, Japan
[3] Kochi Univ Technol, Phys Lab, Kochi 7828502, Japan
关键词
ONE-DIMENSIONAL SYSTEM; BETHE-ANSATZ; BOSE-GAS; BOSONS;
D O I
10.1103/PhysRevA.87.062113
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We examine a parametric cycle in the N-body Lieb-Liniger model that starts from the free system and goes through Tonks-Girardeau and super-Tonks-Girardeau regimes and comes back to the free system. We show the existence of exotic quantum holonomy, whose detailed workings are analyzed with the specific sample of two- and three-body systems. The classification of eigenstates based on clustering structure naturally emerges from the analysis.
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页数:6
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