Dynamics of geometric phase for composite quantum system under nonlocal unitary transformation: a case study of dimer system
Dynamics of geometric phase for composite quantum system under nonlocal unitary transformation: a case study of dimer system
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非局域酉变换下复合量子系统的几何相位动力学：以二聚体系统为例
DOI：
10.1140/epjd/e2013-40167-5
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发表时间：
2013-09-12
影响因子：
1.8
通讯作者：
Zheng, Yujun
中科院分区：
文献类型：
--
作者：
Meng, Xiangjia;Feng, Hairan;Zheng, Yujun
本文研究了复合量子系统在非局域幺正演化下的几何相位动力学性质。作为一个说明性的例子，几何相位的解析表达式推导出的二聚体系统。我们发现几何相位随耦合强度（对应于非局域幺正演化）呈现出一些有趣的性质，如随时间演化的动力学振荡行为、单调性、对称性等。我们证明了在一定条件下，几何相位和纠缠具有相同的周期。此外，我们还讨论了整个系统及其子系统的几何相位。我们的研究表明，几何相位可以反映系统的一些固有性质：它标志着从自陷到离域的转变。
In this paper, we explore the dynamical properties of geometric phase for a composite quantum system under the nonlocal unitary evolution. As an illustrative example, the analytical expressions of geometric phase are derived for the dimer system. We find that geometric phase presents some interesting properties with coupling strengths (corresponding to nonlocal unitary evolution), such as dynamical oscillation behavior with time evolution, monotonicity, symmetry, etc. We show that the geometric phase and entanglement have the same period for some conditions. Moreover, we discuss geometric phase of the whole system and its subsystems. Our investigations show that geometric phase can reflect some inherent properties of the system: it signals a transition from self-trapping to delocalization.