Weyl半金属的动力学量子相变
Dynamical quantum phase transitions in Weyl semimetals
摘要：
本文研究了Ⅰ型反演对称Weyl半金属（WSM）的失超动力学，由于其哈密顿量的形式，可以很容易地推广到二维Chern绝缘体。我们分析了平衡拓扑性质的作用，其特征在于由陈数的预淬火基态在支配系统的非平衡动力学，特别是，出现动态量子相变（DQPT）。通过对基态保真度的研究，发现符号陈数的变化是双量子点隧穿发生的充分条件，但不是必要条件。取决于横向和纵向跳跃参数的比率，DQPT也可以观察到完全位于初始陈相内的猝灭。此外，我们分析了边界配分函数的零点，发现虽然零点通常形成二维结构，导致一维的临界时间，无穷小淬火可能会导致一维零与零维临界时间提供淬火距离尺度适当的系统大小。这是惊人的表现在性质的非解析的动力学自由能，揭示了对数奇点。此外，在最近的实验进展，通过方位布洛赫相位涡布洛赫状态层析观察动态Fisher零的Loschirst重叠振幅，我们严格调查同样的WSM。最后，我们建立了临界时间的维数和动力学涡旋的存在之间的关系，证明了只有一维临界时间产生的二维流形的边界配分函数的零点导致动力学涡旋。
英文摘要：
The quench dynamics in type-I inversion symmetric Weyl semimetals (WSM) are explored in this work which, due to the form of the Hamiltonian, may be readily extended to two-dimensional Chern insulators. We analyze the role of equilibrium topological properties characterized by the Chern number of the pre-quench ground state in dictating the non-equilibrium dynamics of the system, specifically, the emergence of dynamical quantum phase transitions (DQPT). By investigating the ground state fidelity, it is found that a change in the signed Chern number constitutes a sufficient but not necessary condition for the occurrence of DQPTs. Depending on the ratio of the transverse and longitudinal hopping parameters, DQPTs may also be observed for quenches lying entirely within the initial Chern phase. Additionally, we analyze the zeros of the boundary partition function discovering that while the zeros generally form two-dimensional structures resulting in one-dimensional critical times, infinitesimal quenches may lead to one-dimensional zeros with zero-dimensional critical times provided the quench distance scales appropriately with the system size. This is strikingly manifested in the nature of non-analyticies of the dynamical free energy, revealing a logarithmic singularity. In addition, following recent experimental advances in observing the dynamical Fisher zeros of the Loschmidt overlap amplitude through azimuthal Bloch phase vortices by Bloch-state tomography, we rigorously investigate the same in WSMs. Finally, we establish the relationship between the dimension of the critical times and the presence of dynamical vortices, demonstrating that only one-dimensional critical times arising from two-dimensional manifolds of zeros of the boundary partition function lead to dynamical vortices.
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