Universal quench dynamics of lattice $q$ fermion Yukawa Sachdev-Ye-Kitaev model

TL;DR

This paper investigates the non-Fermi liquid quench dynamics of a lattice Yukawa Sachdev-Ye-Kitaev model, revealing universal thermalization behaviors and Planckian relaxation rates characteristic of strange metals.

Contribution

It extends the SYK model to a lattice setting with fermions and bosons, analyzing quench dynamics and uncovering universal thermalization features and distinct relaxation rates.

Findings

Quench dynamics are insensitive to amplitude deep in the non-Fermi liquid phase.

Universal thermalization dynamics similar to the SYK model are observed with weak lattice coupling.

Bosons and fermions exhibit two temperatures and relaxation rates, indicating Planckian relaxation without quasiparticles.

Abstract

We study the quantum quench of the Yukawa Sachdev-Ye-Kitaev model and one of its lattice extensions with $q$ fermions and one boson. Several equilibrium properties are computed for general $q$ with different parameter scaling within the large-$N$ dynamical mean field scheme. The non-Fermi liquid quench dynamics are studied by integrating the Kadanoff-Baym equations for switching off the lattice term with constant Yukawa coupling or quenching to different final Yukawa couplings. The post-quench oscillations and relaxation dynamics are insensitive to the quench amplitudes deep inside the non-Fermi liquid phase. With weak lattice coupling quenches, we find universal thermalization dynamics similar to the SYK model; however, with two temperatures and two distinct relaxation rates for bosons and fermions, both signal Planckian relaxations without quasiparticles, as in strange metals.