论文标题
研究二维XY和ISING模型中量子相干性的行为
Investigation of the Behavior of Quantum Coherence in Quantum Phase Transitions of Two-Dimensional XY and Ising Models
论文作者
论文摘要
我们通过使用量子重新归一化组（QRG）的方法研究了2D海森伯格XY模型和2D ISING模型的基态相干性的行为。我们表明，临界点附近的量子相干性的非分析行为可以检测这些模型的量子相变（QPT）。我们还使用具有系统大小的量子相干性最大导数的缩放行为，以找到两个模型的连贯性指数以及Ising模型的长度指数。结果与从纠缠分析获得的结果密切一致，即与纠缠方法相比，量子连贯性需要更少的计算计算。
We investigate the behavior of quantum coherence of the ground states of 2D Heisenberg XY model and 2D Ising model with transverse field on square lattices, by using the method of Quantum Renormalization Group (QRG). We show that the non-analytic behavior of quantum coherence near the critical point, can detect quantum phase transition (QPT) of these models. We also use the scaling behavior of maximum derivative of quantum coherence, with system size, to find the critical exponent of coherence for both models and also the length exponent of the Ising model. The results are in close agreement with the ones obtained from entanglement analysis, that is while quantum coherence needs less computational calculations in comparison to entanglement approaches.
