宏观和微观动力学量词对量子临界区的响应
Response of macroscopic and microscopic dynamical quantifiers to the quantum critical region
摘要：
在有限温度下，量子临界区（QCR）的出现是热涨落和量子涨落相互作用的结果。我们在横场量子$XY$模型中寻找合适的物理量，使其在动力学过程中对QCR有显著的响应。结果表明，当初始磁场取自QCR内时，与从不同相位选取初始点相比，横向磁场猝灭后时间演化态的最大吸收能量、最近邻纠缠和量子互信息随温度的下降更快.我们提出了一类动力学量词，起源于这些物理量的响应，并表明它们可以忠实地模仿平衡物理，即在有限温度下的QCR检测。
英文摘要：
At finite temperatures, the quantum critical region (QCR) emerges as a consequence of the interplay between thermal and quantum fluctuations. We seek for suitable physical quantities, which during dynamics can give prominent response to QCR in the transverse field quantum $XY$ model. We report that the maximum energy absorbed, the nearest neighbor entanglement and the quantum mutual information of the time evolved state after a quench of the transverse magnetic field exhibits a faster fall off with temperature when the initial magnetic field is taken from within the QCR, compared to the choice of the initial point from different phases. We propose a class of dynamical quantifiers, originated from the response of these physical quantities and show that they can faithfully mimic the equilibrium physics, namely detection of the QCR at finite temperatures.
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