Quench, thermalization and residual entropy across a non-Fermi liquid to Fermi liquid transition

Abstract

We study the thermalization, after sudden and slow quenches, of an interacting model having a quantum phase transition from a Sachdev-Ye-Kitaev (SYK) non-Fermi liquid (NFL) to a Fermi liquid (FL). The model has SYK fermions coupled to non-interacting lead fermions and can be realized in a graphene flake connected to external leads. After a sudden quench to the NFL, a thermal state is reached rapidly via collapse-revival oscillations of the quasiparticle residue of the lead fermions. In contrast, the quench to the FL, across the NFL-FL transition, leads to multiple prethermal regimes and much slower thermalization. In the slow quench performed over a time $\ddot{I}„$, we find that the excitation energy generated has a remarkable intermediate-$\ddot{I}„$ non-analytic power-law dependence, $\ddot{I}{„}^{-\hat{I}\cdot }$ with $\hat{I}\cdot <1$, which seemingly masks the dynamical manifestation of the initial residual entropy of the SYK fermions. The power-law scaling is expected to eventually break down for $\ddot{I}„\to \infty$, signaling a violation of adiabaticity, due to the residual entropy present in the SYK fermions.

5 pages, 3 figures, and supplementary material