Department of Physics, Arnold Sommerfeld Center for Theoretical Physics and Center for NanoScience, Ludwig Maximilians Universität München, Munich, Germany.
J Phys Condens Matter. 2010 Sep 1;22(34):345604. doi: 10.1088/0953-8984/22/34/345604. Epub 2010 Aug 10.
In this work we investigate the quench dynamics in the Kondo model on the Toulouse line in the presence of a local magnetic field. It is shown that this setup can be realized by either applying the local magnetic field directly or by preparing the system in a macroscopically spin-polarized initial state. In the latter case, the magnetic field results from a subtlety in applying the bosonization technique where terms that are usually referred to as finite-size corrections become important in the present non-equilibrium setting. The transient dynamics are studied by analyzing exact analytical results for the local spin dynamics. The timescale for the relaxation of the local dynamical quantities turns out to be exclusively determined by the Kondo scale. In the transient regime, one observes damped oscillations in the local correlation functions with a frequency set by the magnetic field.
在这项工作中，我们研究了在托莱多线上局部磁场存在下的近藤模型的淬火动力学。结果表明，这种设置可以通过直接施加局部磁场或通过将系统制备在宏观自旋极化的初始状态来实现。在后一种情况下，磁场来自于玻色化技术的微妙之处，其中通常被称为有限尺寸修正的项在当前非平衡设置中变得重要。通过分析局部自旋动力学的精确解析结果来研究瞬态动力学。局部动力学量的弛豫时间尺度仅由近藤标度决定。在瞬变阶段，人们观察到局部相关函数中的阻尼振荡，其频率由磁场设定。
