量子猝灭后一维费米子系统的类玻璃行为
Glass-like Behavior in a System of One Dimensional Fermions after a Quantum Quench
摘要：
研究了在XXZ可积点附近的一维相互作用无自旋费米子系统的非平衡弛豫动力学。我们观察到两个定性不同的制度：接近可积性和低能量的松弛进行两个步骤（预热化的情况下），而大的能量和/或远离可积性的动态发展在一个单一的步骤。当可积性破缺参数低于某一有限阈值且系统能量足够低时，亚稳态的寿命突然增加几个数量级，类似于玻璃态系统的物理。这反映在弛豫时间尺度的突然跳跃中。与标准数值方法相比，我们给出了有限但大型系统的结果，并且时间很长。我们的方法是基于一个和两个粒子的关联函数使用投影算子技术的运动方程的建设。
英文摘要：
We investigate the non-equilibrium relaxation dynamics of a one dimensional system of interacting spinless fermions near the XXZ integrable point. We observe two qualitatively different regimes: close to integrability and for low energies the relaxation proceeds in two steps (prethermalization scenario), while for large energies and/or away from integrability the dynamics develops in a single step. When the integrability breaking parameter is below a certain finite threshold and the energy of the system is sufficiently low the lifetime of the metastable states increases abruptly by several orders of magnitude, resembling the physics of glassy systems. This is reflected in a sudden jump in the relaxation timescales. We present results for finite but large systems and for large times compared to standard numerical methods. Our approach is based on the construction of equations of motion for one- and two-particle correlation functions using projection operator techniques.
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