Aharonov-Anandan Phases in Lipkin-Meskov-Glick Model

被引：0

作者：

杨大宝 ^{[1
]}

陈景灵 ^{[1
]}

机构：

[1] Theoretical Physics Division,Chern Institute of Mathematics,Nankai University

来源：

Communications in Theoretical Physics | 2011年 / 56卷 / 08期

基金：

中国国家自然科学基金; 中央高校基本科研业务费专项资金资助;

关键词：

geometric phase; spin chain models; calculations for few-body systems;

D O I：

暂无

中图分类号：

O413 [量子论];

学科分类号：

070201 ;

摘要：

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-adiabaticcounterpart (Aharonov and Anandan phase).In this paper,we analyze both the non-degenerate and degenerate geometricphase of Lipkin-Meskov-Glick type model,which has many application in Bose-Einstein condensates and entanglementtheory.Furthermore,in order to calculate degenerate geometric phases,the Floquet theorem and decomposition ofoperator are generalized.And the general formula is achieved.

引用

页码：247 / 252

页数：6

共 3 条

[1] Aharonov-Anandan Phases in Lipkin-Meskov-Glick Model
Yang Da-Bao
Chen Jing-Ling
COMMUNICATIONS IN THEORETICAL PHYSICS, 2011, 56 (02) : 247 - 252
[2] Aharonov-Anandan quantum phases and Landau quantization associated with a magnetic quadrupole moment
Fonseca, I. C.
Bakke, K.
ANNALS OF PHYSICS, 2015, 363 : 253 - 261
[3] Atomic interferometer measurements of Berry and Aharonov-Anandan phases for isolated spins S > 1/2 nonlinearly coupled to external fields
Bouchiat, Marie-Anne
Bouchiat, Claude
PHYSICAL REVIEW A, 2011, 83 (05):

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