Aharonov-Anandan Phases in Lipkin-Meskov-Glick Model |
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Authors: | YANG Da-Bao CHEN Jing-Ling |
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Institution: | Theoretical Physics Division, Chern Institute of Mathematics, Nankai University, Tianjin 300071, China |
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Abstract: | 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. |
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Keywords: | geometric phase spin chain models calculations for few-body systems |
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