有效金属-绝缘体非平衡量子相变
Effective metal-insulator non-equilibrium quantum phase transition
摘要：
本文研究了Su-Schrieffer-Heeger模型和一维横场量子伊辛模型中控制能隙的参量突然量子猝灭后观测量的稳态行为。在热力学极限，并为时间$t\rightarrow\infty$，我们发现非解析性，即使在简单的本地观测作为一个功能的淬火参数，即非平衡量子相变。我们跟踪这种非平衡量子相变的出现，一个有效的金属-绝缘体过渡发生在广义吉布斯熵（描述平衡系统的稳态）的水平上。研究这些过渡是否是强大的，我们发现，在SSH模型的范例的情况下，它们持续时间有限的量子淬火协议以及热初始状态，而它们在费米子-费米子相互作用的存在下，并为有限的系统大小被洗出来。
英文摘要：
We consider the steady state behavior of observables in the Su-Schrieffer-Heeger model and in the one dimensional transverse field quantum Ising model after a sudden quantum quench of the parameter controlling the gap. In the thermodynamic limit, and for times $t\rightarrow\infty$, we find non-analyticities even in simple local observables as a function of the quench parameter, that is, a non-equilibrium quantum phase transition. We trace the appearance of this non-equilibrium quantum phase transition to an effective metal-insulator transition which occurs on the level of the generalized Gibbs Ensemble (describing the steady-state of the equilibrated system). Studying whether these transitions are robust, we find, in the paradigmatic case of the SSH model, that they persist for both quantum quench protocols of finite duration in time as well as thermal initial states, while they are washed out in the presence of fermion-fermion interactions and for finite system size.
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