Quantum quench of the Sachdev-Ye-Kitaev model

被引：98

作者：

Eberlein, Andreas ^{[1
]}

Kasper, Valentin ^{[1
]}

Sachdev, Subir ^{[1
,2
]}

Steinberg, Julia ^{[1
]}

机构：

[1] Harvard Univ, Dept Phys, Cambridge, MA 02138 USA

[2] Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, Canada

来源：

PHYSICAL REVIEW B | 2017年 / 96卷 / 20期

基金：

美国国家科学基金会;

关键词：

NONZERO-TEMPERATURE TRANSPORT;

D O I：

10.1103/PhysRevB.96.205123

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页数：15

共 37 条

[1] Models of AdS2 backreaction and holography [J].