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Quantum Quench of the Sachdev-Ye-Kitaev Model

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2017-11-14

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American Physical Society (APS)
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Eberlein, Andreas, Valentin Kasper, Subir Sachdev, and Julia Steinberg. 2017. Quantum Quench of the Sachdev-Ye-Kitaev Model. Physics Review B 96: 205123.

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Abstract

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.

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