论文标题
热水浴中的远程基塔夫链：时间依赖于时间依赖的系统和环境的分析技术
Long-range Kitaev chain in a thermal bath: Analytic techniques for time-dependent systems and environments
论文作者
论文摘要
我们构建并解决了一个“最小模型”，可以通过该模型在系统和/或浴室中的时间依赖性参数变化下分析多体量子系统中的非平衡现象。将浴缸的合适配置耦合到基塔夫链中，我们自愿得出了一个lindblad主方程，至少在没有明确的时间依赖性的情况下，它会导致热化。使用第三量化的方法，我们得出了相关矩阵的时间进化方程，我们与系统的准粒子模式的职业有关。这些结果允许在广泛的驾驶方案下对开放式基塔夫链的非平衡动力学进行分析和有效的数字描述，这反过来又有助于研究浴诱导的耗散和通过非沉浸式驱动产生相干激发之间的相互作用。我们宣传了这种最小简单模型的最大模型，以研究千禧年 - Zurek坡道，Floquet Physics和许多其他非平衡协议的量子多体系统的有限温度概括，这是由时间变化参数和/或温度驱动的。
We construct and solve a "minimal model" with which nonequilibrium phenomena in many-body open quantum systems can be studied analytically under time-dependent parameter changes in the system and/or the bath. Coupling a suitable configuration of baths to a Kitaev chain, we self-consistently derive a Lindblad master equation which, at least in the absence of explicit time dependencies, leads to thermalization. Using the method of Third Quantization we derive time-evolution equations for the correlation matrix, which we relate to the occupation of the system's quasiparticle modes. These results permit analytic and efficient numeric descriptions of the nonequilibrium dynamics of open Kitaev chains under a wide range of driving protocols, which in turn facilitate the investigation of the interplay between bath-induced dissipation and the generation of coherent excitations by nonadiabatic driving. We advertise this minimal model of maximum simplicity for the study of finite-temperature generalizations of Kibble-Zurek ramps, Floquet physics, and many other nonequilibrium protocols of quantum many-body systems driven by time-varying parameters and/or temperatures.
