论文标题
部分可观测时空混沌系统的无模型预测
Phases of Quench Dynamics in the Presence of Fluctuation
论文作者
论文摘要
我们研究热波动对具有$ z_2 $对称性系统的系统中的淬灭的影响。通过忽略有限动量模式的波动，并追踪由临界点附近的空间均匀源驱动的零动量模式的动力学，我们绘制了淬火动力学的相位图。相图由三个不同阶段组成。对于大波动，发生了I期，通过波动引起的逆质量平方设定的松弛时间。第二阶段发生在小波动和缓慢的淬火率。该动力学的特征是修改的千里布尔·泽尔克缩放。第三阶段对应于较小的波动和快速淬火速率。放松时间趋于在快速淬火限制下的有限值。我们还估计有限动量模式的波动，发现有效的质量方形显着增强。我们推测该相图的定性特征可能保持不变，但是增强的波动可能导致II期和III期的收缩。
We study the effect of thermal fluctuations on a sourced quench in a system with $Z_2$ symmetry. By ignoring the fluctuation of finite momentum modes and tracing the dynamics of zero momentum mode driven by a spatially homogeneous source near the critical point, we map out a phase diagram for the quench dynamics. The phase diagram consists of three different phases. Phase I occurs for large fluctuations with the relaxation time set by fluctuation induced inverse effective mass square. Phase II occurs for small fluctuation and slow quench rate. The dynamics is characterized by a modified Kibble-Zurek scaling. Phase III corresponds to small fluctuations and rapid quench rate. The relaxation time tends to a finite value in the rapid quench limit. We also estimate the fluctuations of finite momentum modes, finding significant enhancement of the effective mass square. We speculate the qualitative features of the phase diagram may remain the same, but enhanced fluctuations can lead to shrinkage of phase II and III.
