量子猝灭到临界点后完全回复的可能性
On the possibility of complete revivals after quantum quenches to a critical point
摘要：
在最近的一封信中，J. Cardy，Phys. Rev. Lett. \textbf{112}，220401（2014）中，作者进行了一个非常有趣的观察，即量子猝灭后量子态的完全恢复可以发生在系统大小的一小部分的周期内。这是可能的关键系统，可以描述的最小共形场论（CFT）与中心荷$c<1$。在这篇文章中，我们表明，这些完全复苏是不可能的微观实现的那些极小模型。我们将证明没有上述的完全复苏的临界横向场伊辛链解析，并提出的XY链的临界线的数值结果。特别是，对于所考虑的初始状态，我们将表明，临界部分复苏没有显着的影响。我们还评述了准粒子图象定性地确定部分复苏周期的适用性。特别是，我们发现了一个政权的XY链的相图中，一个不能确定的部分复苏使用准粒子图片的周期。
英文摘要：
In a recent letter, J. Cardy, Phys. Rev. Lett. \textbf{112}, 220401 (2014), the author made a very interesting observation that complete revivals of quantum states after quantum quench can happen in a period which is a fraction of the system size. This is possible for critical systems that can be described by minimal conformal field theories (CFT) with central charge $c<1$. In this article, we show that these complete revivals are impossible in microscopic realizations of those minimal models. We will prove the absence of the mentioned complete revivals for the critical transverse field Ising chain analytically, and present numerical results for the critical line of the XY chain. In particular, for the considered initial states, we will show that criticality has no significant effect in partial revivals. We also comment on the applicability of quasi-particle picture to determine the period of the partial revivals qualitatively. In particular, we detect a regime in the phase diagram of the XY chain which one can not determine the period of the partial revivals using the quasi-particle picture.
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