量子临界点的猝灭：拓扑模式的作用
Quenching across quantum critical points: role of topological patterns
摘要：
我们介绍了一个一维版本的Kitaev模型组成的两条腿的梯子上的自旋和特点的Z_2不变的格子的梯子。我们将该模型映射到一个费米子系统，并根据费米子占据数确定了与不同Z_2模式相关的拓扑扇区。在这些不同的部门，我们调查的影响，线性淬火跨越量子临界点。我们研究了系统的主导行为，采用朗道-齐纳型分析的有效哈密顿量在低能量子空间，有效淬火有时可以是非线性的。我们发现，淬火导致的剩余能量的规模作为淬火率的功率，和功率依赖于拓扑部门和它们的对称性在一个非平凡的方式。这种行为与量子猝灭的一般理论是一致的，但是关联长度指数ν在不同的扇区中是不同的。
英文摘要：
We introduce a one-dimensional version of the Kitaev model consisting of spins on a two-legged ladder and characterized by Z_2 invariants on the plaquettes of the ladder. We map the model to a fermionic system and identify the topological sectors associated with different Z_2 patterns in terms of fermion occupation numbers. Within these different sectors, we investigate the effect of a linear quench across a quantum critical point. We study the dominant behavior of the system by employing a Landau-Zener-type analysis of the effective Hamiltonian in the low-energy subspace for which the effective quenching can sometimes be non-linear. We show that the quenching leads to a residual energy which scales as a power of the quenching rate, and that the power depends on the topological sectors and their symmetry properties in a non-trivial way. This behavior is consistent with the general theory of quantum quenching, but with the correlation length exponent νbeing different in different sectors.
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