2019/03/31 by Arijit Haldar, Prosenjit Haldar, Surajit Bera +2 · 1 citation
Physics and Astronomy · #cond-mat.str-el #hep-th
paper · pdf · doi:10.1103/physrevresearch.2.013307
published as Phys. Rev. Research 2, 013307 (2020) · 5 pages, 3 figures, and supplementary material
arxiv created 2020/03/19 · arxiv updated 2020/03/20
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 τ, we find that the excitation energy generated has a remarkable intermediate-τ non-analytic power-law dependence, τ-η with η<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 τ→∞, signaling a violation of adiabaticity, due to the residual entropy present in the SYK fermions.