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题名: Loschmidt echo and Berry phase of a quantum system coupled to an XY spin chain: Proximity to a quantum phase transition
作者: Yuan ZG (Yuan Zi-Gang);  Zhang P (Zhang Ping);  Li SS (Li Shu-Shen)
发表日期: 2007
摘要: We study the Loschmidt echo (LE) of a coupled system consisting of a central spin and its surrounding environment described by a general XY spin-chain model. The quantum dynamics of the LE is shown to be remarkably influenced by the quantum criticality of the spin chain. In particular, the decaying behavior of the LE is found to be controlled by the anisotropy parameter of the spin chain. Furthermore, we show that due to the coupling to the spin chain, the ground-state Berry phase for the central spin becomes nonanalytical and its derivative with respect to the magnetic parameter lambda in spin chain diverges along the critical line lambda=1, which suggests an alternative measurement of the quantum criticality of the spin chain.
KOS主题词: Example;  Modeling
刊名: PHYSICAL REVIEW A
专题: 中国科学院半导体研究所(2009年前)_期刊论文

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推荐引用方式:
Yuan, ZG (Yuan, Zi-Gang); Zhang, P (Zhang, Ping); Li, SS (Li, Shu-Shen) .Loschmidt echo and Berry phase of a quantum system coupled to an XY spin chain: Proximity to a quantum phase transition ,PHYSICAL REVIEW A,JAN 2007 ,75 (1):Art.No.012102
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