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[hal-02303069] Quench, thermalization and residual entropy across a non-Fermi liquid to Fermi liquid transition  (16/10/2019)  
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.

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[hal-02104946] Two localization lengths in the Anderson transition on random graphs  (15/10/2019)  
[hal-02076361] Kane-Fisher weak link physics in the clean scratched XY model  (15/10/2019)  
[hal-02066438] RTNI - A symbolic integrator for Haar-random tensor networks  (17/10/2019)  
[hal-02064228] Geopolitical interactions from reduced Google matrix analysis of Wikipedia  (17/10/2019)  

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