The Kibble-Zurek mechanism captures universality when a system is driven through a continuous phase transition. Here we study the dynamical aspect of quantum phase transitions in the Ising Field Theory where the quantum critical point can be crossed in different directions in the two-dimensional coupling space leading to different scaling laws. Using the Truncated Conformal Space Approach, we investigate the microscopic details of the Kibble-Zurek mechanism in terms of instantaneous eigenstates in a genuinely interacting field theory. For different protocols, we demonstrate dynamical scaling in the non-adiabatic time window and provide analytic and numerical evidence for specific scaling properties of various quantities. In particular, we argue that the higher cumulants of the excess heat exhibit universal scaling in generic interacting models for a slow enough ramp.

中文翻译：

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伊辛场论中的Kibble-Zurek机制

当系统通过连续的相变驱动时，Kibble-Zurek机制会捕获通用性。在这里，我们研究了伊辛场论中量子相变的动力学方面，其中量子临界点可以在二维耦合空间中的不同方向交叉，从而导致不同的定标律。使用截断的共形空间方法，我们在真实相互作用的场论中研究了瞬时本征态下的Kibble-Zurek机理的微观细节。对于不同的协议，我们演示了非绝热时间窗口中的动态缩放，并为各种数量的特定缩放属性提供了分析和数值证据。尤其是，