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Scaling in driven dynamics starting in the vicinity of a quantum critical point

机译：从量子临界点附近开始缩放驱动动力学

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摘要

Driven dynamics across a quantum critical point is usually described by the Kibble-Zurek scaling. Although the original Kibble-Zurek scaling requires an adiabatic initial state, it has been shown that scaling behaviors exist even when the driven dynamics is triggered from a thermal equilibrium state exactly at the critical point, in spite of the breakdown of the initial adiabaticity. In this paper, we show that the existence of the scaling behavior can be generalized to the case of the initial state being a thermal equilibrium state near the critical point. We propose a scaling theory in which the initial parameters are included as additional scaling variables due to the breakdown of the initial adiabaticity. In particular, we demonstrate that for the driven critical dynamics in a closed system, the nontrivial thermal effects are closely related to the initial distance to the critical point. We numerically confirm the scaling theory by simulating the real-time dynamics of the one-dimensional quantum Ising model at both zero and finite temperatures.
机译：跨量子临界点的驱动动力学通常用Kibble-Zurek标度描述。尽管原始的Kibble-Zurek缩放需要绝热的初始状态，但已显示，即使从初始绝热状态开始崩溃，即使从热平衡状态恰好在临界点触发驱动动力学，也存在缩放行为。在本文中，我们证明了缩放行为的存在可以推广到初始状态为临界点附近的热平衡状态的情况。我们提出了一种定标理论，其中由于初始绝热性的破坏，将初始参数作为附加定标变量包括在内。特别是，我们证明了对于封闭系统中的驱动临界动力学，非平凡的热效应与到临界点的初始距离密切相关。我们通过模拟零温度和有限温度下的一维量子伊辛模型的实时动力学在数值上证实了定标理论。

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  • 来源
    《Physical review》 |2016年第6期|064302.1-064302.6|共6页
  • 作者

    Shuai Yin; Chung-Yu Lo; Pochung Chen;

  • 作者单位

    Department of Physics, National Tsing Him University, Hsinchu 30013, Taiwan;

    Department of Physics, National Tsing Him University, Hsinchu 30013, Taiwan;

    Department of Physics, National Tsing Him University, Hsinchu 30013, Taiwan;

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