论文标题
由于环境温度淬灭的横向场iSing模型，kibble-zurek缩放
Kibble-Zurek scaling due to environment temperature quench in the transverse field Ising model
论文作者
论文摘要
Kibble-Zurek机制描述了由于临界点的非绝热通道而导致的缺陷产生。在这里，我们研究了它的变体，从将环境温度提升到临界点。我们发现，对于通常的关键指数和$ 1/τ$，缺陷密度为$τ^{ - dν} $或$τ^{ - d/z} $分别为热或量子关键点。这两个量表都描述了与常规的千泽 - Zurek机制相比，缺陷密度降低，这源于由于浴系统相互作用而增加的松弛。通过研究热浴的存在，研究横向场的lindblad方程来研究量子临界点的渐变临界点，并与环境遵循详细平衡的耦合，从而确认了预测的尺度。 von-Neumann或系统浴纠缠熵遵循相同的缩放。我们的结果也被推广到具有依赖力量浴光谱密度的大量耗散系统。
The Kibble-Zurek mechanism describes defect production due to non-adiabatic passage through a critical point. Here we study its variant from ramping the environment temperature to a critical point. We find that the defect density scales as $τ^{-dν}$ or $τ^{-d/z}$ for thermal or quantum critical points, respectively, in terms of the usual critical exponents and $1/τ$ the speed of the drive. Both scalings describe reduced defect density compared to conventional Kibble-Zurek mechanism, which stems from the enhanced relaxation due to bath-system interaction. Ramping to the quantum critical point is investigated by studying the Lindblad equation for the transverse field Ising chain in the presence of thermalizing bath, with couplings to environment obeying detailed balance, confirming the predicted scaling. The von-Neumann or the system-bath entanglement entropy follows the same scaling. Our results are generalized to a large class of dissipative systems with power-law energy dependent bath spectral densities as well.
