费米子系统在无能隙-（部分）能隙量子猝灭中的非单调响应和光锥冻结
Non-monotonic response and light-cone freezing in gapless-to-(partially) gapped quantum quenches of fermionic systems
摘要：
分析了一维费米子系统从无带隙态到部分带隙态突然量子猝灭的典型例子的性质。通过一个广义吉布斯熵分析或数值解的相互作用的情况下，我们观察到一个异常的，非单调的响应的稳态关联函数的功能的强度的机制打开的差距。为了解释这一结果，我们计算了这些关联函数，这表明了冻结的淬火信息（光锥）的传播大淬火的完整动态演化。我们认为，这种冻结是负责的非单调行为的观测。在连续非相互作用模型中，这种冻结可以追溯到存在源项的Klein-Gordon方程。最后，我们主张在非突然淬火和高维的情况下的现象的鲁棒性。
英文摘要：
The properties of prototypical examples of one-dimensional fermionic systems undergoing a sudden quantum quench from a gapless state to a (partially) gapped state are analyzed. By means of a Generalized Gibbs Ensemble analysis or by numerical solutions in the interacting cases, we observe an anomalous, non-monotonic response of steady state correlation functions as a function of the strength of the mechanism opening the gap. In order to interpret this result, we calculate the full dynamical evolution of these correlation functions, which shows a freezing of the propagation of the quench information (light cone) for large quenches. We argue that this freezing is responsible for the non-monotonous behaviour of observables. In continuum non-interacting models, this freezing can be traced back to a Klein-Gordon equation in the presence of a source term. We conclude by arguing in favour of the robustness of the phenomenon in the cases of non-sudden quenches and higher dimensionality.
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