论文标题
手性时钟模型中的淬灭熵增长
Post quench entropy growth in a chiral clock model
论文作者
论文摘要
我们在数值上研究了从完全有序状态到手性$ \ Mathbb {z} _3 $时钟模型的铁磁状态的淬火，可以从六种口味的稀疏域壁上理解物理。如先前研究的模型一样，淬灭产生的纠缠域壁对的传播会导致熵的线性增长，直到$ \ ell/2v_g $的大小 - $ \ ell $ $ subsystems在散装中的$ v_g $，其中$ v_g $是$ v_g $的最大域名域域。在散装中的小型子系统中，熵继续向$ \ ln 3 $增长，因为域墙穿越子系统并增加了两个相对订购的状态的总体，并恢复了$ \ mathbb {z} _3 _3 $对称性。在非手续时钟模型中，熵的后一种熵的生长也可以看到在开放边界附近的小子系统中。与此相反，在手性模型的情况下，开放边界附近的小子系统的熵饱和。我们在手性模型中开放边界的域壁的质量不同散射特性方面合理化行为差异。我们还提出了手学模型中纵向场诱导的域壁对结合状态的熵生长，相关扩散和能量的经验结果。
We numerically study quenches from a fully ordered state to the ferromagnetic regime of the chiral $\mathbb{Z}_3$ clock model, where the physics can be understood in terms of sparse domain walls of six flavors. As in the previously studied models, the spread of entangled domain wall pairs generated by the quench lead to a linear growth of entropy with time, upto a time $\ell/2v_g$ in size-$\ell$ subsystems in the bulk where $v_g$ is the maximal group velocity of domain walls. In small subsystems located in the bulk, the entropy continues to further grow towards $\ln 3$, as domain walls traverse the subsystem and increment the population of the two oppositely ordered states, restoring the $\mathbb{Z}_3$ symmetry. The latter growth in entropy is seen also in small subsystems near an open boundary in a non-chiral clock model. In contrast to this, in the case of the chiral model, the entropy of small subsystems near an open boundary saturates. We rationalize the difference in behavior in terms of qualitatively different scattering properties of domain walls at the open boundary in the chiral model. We also present empirical results for entropy growth, correlation spread, and energies of longitudinal-field-induced bound states of domain wall pairs in the chiral model.
