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 $\tau$, we find that the excitation energy generated has a remarkable intermediate-$\tau$ non-analytic power-law dependence, ${\tau }^{-\eta }$ with $\eta <1$, 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 $\tau \to \infty$, signaling a violation of adiabaticity, due to the residual entropy present in the SYK fermions.

arXiv comment5 pages, 3 figures, and supplementary material

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Cited by in corpus (31)

• Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
• Lindbladian dissipation of strongly-correlated quantum matter
• Subsystem Rényi Entropy of Thermal Ensembles for SYK-like models
• Phase transition and chaos in charged SYK model
• Thermalization of many many-body interacting SYK models
• Quantum tunneling dynamics in a complex-valued Sachdev-Ye-Kitaev model quench-coupled to a cool bath
• Entanglement Entropy and its Quench Dynamics for Pure States of the Sachdev-Ye-Kitaev model
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