Aharonov-Anandan Phases in Lipkin-Meskov-Glick Model

In the system of several interacting spins, geometric phases have been researched intensively. However, the studies are mainly focused on the adiabatic case （Berry phase）, so it is necessary for us to study the non-adiabatic counterpart （Aharonov and Anandan phase）. In this paper, we analyze both th...

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Bibliographic Details
Published in理论物理通讯：英文版 Vol. 56; no. 8; pp. 247 - 252
Main Author 杨大宝 陈景灵
Format Journal Article
LanguageEnglish
Published 2011
Subjects
Berry相
Floquet定理
几何相
型号
应用程序
爱因斯坦凝聚
相互作用
自旋系统
Online AccessGet full text
ISSN0253-6102

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Summary:In the system of several interacting spins, geometric phases have been researched intensively. However, the studies are mainly focused on the adiabatic case （Berry phase）, so it is necessary for us to study the non-adiabatic counterpart （Aharonov and Anandan phase）. In this paper, we analyze both the non-degenerate and degenerate geometric phase of Lipkin-Meskov-Glick type model, which has many application in Bose-Einstein condensates and entanglement theory. Furthermore, in order to calculate degenerate geometric phases, the Floquet theorem and decomposition of operator are generalized. And the general formula is achieved.
Bibliography:11-2592/O3
geometric phase, spin chain models, calculations for few-body systems
YANG Da-Bao , CHEN Jing-Ling （ Theoretical Physics Division, Chern Institute of Mathematics, Nankai University, Tianjin 300071, China）
In the system of several interacting spins, geometric phases have been researched intensively. However, the studies are mainly focused on the adiabatic case （Berry phase）, so it is necessary for us to study the non-adiabatic counterpart （Aharonov and Anandan phase）. In this paper, we analyze both the non-degenerate and degenerate geometric phase of Lipkin-Meskov-Glick type model, which has many application in Bose-Einstein condensates and entanglement theory. Furthermore, in order to calculate degenerate geometric phases, the Floquet theorem and decomposition of operator are generalized. And the general formula is achieved.
ISSN:0253-6102