论文标题
线性响应理论的kibble-zurek缩放
Kibble-Zurek scaling from linear response theory
论文作者
论文摘要
尽管量子相变为热力学相变的许多特征，但它们在零温度下的发生也有明显不同。因此，尚不清楚捕获热力学相变特性的工具和框架是否也适用于量子情况。关于热力学临界点的穿越并描述其非平衡动力学，kibble-zurek机制和线性响应理论已被证明是非常成功的方法之一。在目前的工作中，我们表明，这两种方法在量子相变的描述中也是一致的，并且线性响应理论甚至可以为Kibble-Zurek机制的参数提供信息。特别是，我们表明，线性响应理论提供的放松时间为为什么识别“差距”为放松率提供了严格的论点，并且我们验证了从线性响应理论计算得出的多余工作表现出千夸雷克的缩放。
While quantum phase transitions share many characteristics with thermodynamic phase transitions, they are also markedly different as they occur at zero temperature. Hence, it is not immediately clear whether tools and frameworks that capture the properties of thermodynamic phase transitions also apply in the quantum case. Concerning the crossing of thermodynamic critical points and describing its non-equilibrium dynamics, the Kibble-Zurek mechanism and linear response theory have been demonstrated to be among the very successful approaches. In the present work, we show that these two approaches are consistent also in the description of quantum phase transitions, and that linear response theory can even inform arguments of the Kibble-Zurek mechanism. In particular, we show that the relaxation time provided by linear response theory gives a rigorous argument for why to identify the "gap" as a relaxation rate, and we verify that the excess work computed from linear response theory exhibits Kibble-Zurek scaling.
