Complex semiclassical analysis of the Loschmidt amplitude and dynamical quantum phase transitions
Complex semiclassical analysis of the Loschmidt amplitude and dynamical quantum phase transitions
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洛施密特振幅和动态量子相变的复杂半经典分析
DOI：
10.1103/physrevb.95.174305
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发表时间：
2017
影响因子：
3.7
通讯作者：
Takahashi Kazutaka
中科院分区：
文献类型：
--
作者：
Obuchi Tomoyuki;Suzuki Sei;Takahashi Kazutaka
基于自旋相干态路径积分的复半经典分析，提出了一种计算一般自旋系统Loscherton振幅的方法。我们证明了如何动态跃迁出现在时间演化的Loschlavian振幅的无限范围的横向伊辛模型的纵向场，暴露的量子淬火的横向场fromor零。对于这两种初始条件，我们得到的动力学相图，显示存在或不存在的动态过渡后，在横向场和纵向场的量子淬火平面。数值实验验证了半经典分析的结果。本文还讨论了动力学跃迁的实验观测结果。
We propose a computational method of the Loschmidt amplitude in a generic spin system on the basis of the complex semiclassical analysis on the spin-coherent state path integral. We demonstrate how the dynamical transitions emerge in the time evolution of the Loschmidt amplitude for the infinite-range transverse Ising model with a longitudinal field, exposed by a quantum quench of the transverse fieldfromor zero. For both initial conditions, we obtain the dynamical phase diagrams that show the presence or absence of the dynamical transition in the plane of transverse field after a quantum quench and the longitudinal field. The results of semiclassical analysis are verified by numerical experiments. Experimental observation of our findings on the dynamical transition is also discussed.