Quantum quench of the Sachdev-Ye-Kitaev model
Quantum quench of the Sachdev-Ye-Kitaev model
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DOI：
10.1103/physrevb.96.205123
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发表时间：
2017-11-14
影响因子：
3.7
通讯作者：
Steinberg, Julia
中科院分区：
文献类型：
--
作者：
Eberlein, Andreas;Kasper, Valentin;Steinberg, Julia
我们描述了费米子的Sachdev-Ye-Kitaev模型的非平衡猝灭动力学与随机的所有到所有的相互作用。这些提供了没有准粒子激发的量子系统动力学的易处理模型。Kadanoff-Baym方程表明，在长时间内，费米子两点函数在由能量守恒确定的最终温度下具有热形式，并且数值分析与与该温度成比例的热化率一致。我们还得到了一个精确的解析解的淬火动力学在大q极限的模型与q费米子相互作用：在这个限制，热化的两点函数是瞬时的。
We describe the nonequilibrium quench dynamics of the Sachdev-Ye-Kitaev models of fermions with random all-to-all interactions. These provide tractable models of the dynamics of quantum systems without quasiparticle excitations. The Kadanoff-Baym equations show that, at long times, the fermion two-point function has a thermal form at a final temperature determined by energy conservation, and the numerical analysis is consistent with a thermalization rate proportional to this temperature. We also obtain an exact analytic solution of the quench dynamics in the large q limit of a model with q fermion interactions: in this limit, the thermalization of the two-point function is instantaneous.