经典XY模型
物理
各向同性
量子
量子力学
凝聚态物理
相变
作者
Hong Tao,Lei Shao,Zhucheng Zhang,Xingyu Zhang,Rui Zhang,Jie Chen,Wangjun Lu
标识
DOI:10.1002/andp.202200291
摘要
Lee-Yang zeros lie on the complex plane of the control parameters for many-body systems with finite size, such as the transverse magnetic field and the inverse temperature. Here, an anisotropic spin system with nearest-neighbor interactions for finite-size parity space is considered. The Lee-Yang zeros are obtained in anisotropic X Y $XY$ model for the complex plane of the transverse magnetic field and in the isotropic X Y $XY$ model for the complex fugacity plane of the quantum coherence. A characteristic function to represent the probe spin coherence for the isotropic X Y $XY$ model, and study on Lee-Yang zeros, quantum coherence, and quantum Fisher information at the complex fugacity plane is presented. The relationship between quantum Fisher information and quantum coherence in decoherence channels is demonstrated and it is illustrated that information cannot be acquired at high temperatures. Meanwhile, the ground-state energy on the complex plane for the anisotropic X Y $XY$ model is studied and the free energy cumulants with the partition function of the anisotropic X Y $XY$ model for parity space is calculated.
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