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

We study the thermalization, after sudden and slow quenches, in 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 noninteracting lead fermions and can be realized in a graphene fl...

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Main Authors: Arijit Haldar, Prosenjit Haldar, Surajit Bera, Ipsita Mandal, Sumilan Banerjee
Format: Article
Language:English
Published: American Physical Society 2020-03-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.2.013307
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author Arijit Haldar
Prosenjit Haldar
Surajit Bera
Ipsita Mandal
Sumilan Banerjee
author_facet Arijit Haldar
Prosenjit Haldar
Surajit Bera
Ipsita Mandal
Sumilan Banerjee
author_sort Arijit Haldar
collection DOAJ
description We study the thermalization, after sudden and slow quenches, in 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 noninteracting lead fermions and can be realized in a graphene flake connected to external leads. A sudden quench to the NFL leads to rapid thermalization via collapse-revival oscillations of the quasiparticle residue of the lead fermions. In contrast, the quench to the FL shows 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 nonanalytic power-law dependence, τ^{−η} with η<1, which seemingly masks the dynamical manifestation of the initial residual entropy of the SYK fermions. Our study gives an explicit demonstration of the intriguing contrasts between the out-of-equilibrium dynamics of a NFL and a FL in terms of their thermalization and approach to adiabaticity.
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spelling doaj.art-8236b8f1cb9d42bb824e9e5cd2399ab22024-04-12T16:51:21ZengAmerican Physical SocietyPhysical Review Research2643-15642020-03-012101330710.1103/PhysRevResearch.2.013307Quench, thermalization, and residual entropy across a non-Fermi liquid to Fermi liquid transitionArijit HaldarProsenjit HaldarSurajit BeraIpsita MandalSumilan BanerjeeWe study the thermalization, after sudden and slow quenches, in 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 noninteracting lead fermions and can be realized in a graphene flake connected to external leads. A sudden quench to the NFL leads to rapid thermalization via collapse-revival oscillations of the quasiparticle residue of the lead fermions. In contrast, the quench to the FL shows 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 nonanalytic power-law dependence, τ^{−η} with η<1, which seemingly masks the dynamical manifestation of the initial residual entropy of the SYK fermions. Our study gives an explicit demonstration of the intriguing contrasts between the out-of-equilibrium dynamics of a NFL and a FL in terms of their thermalization and approach to adiabaticity.http://doi.org/10.1103/PhysRevResearch.2.013307
spellingShingle Arijit Haldar
Prosenjit Haldar
Surajit Bera
Ipsita Mandal
Sumilan Banerjee
Quench, thermalization, and residual entropy across a non-Fermi liquid to Fermi liquid transition
Physical Review Research
title Quench, thermalization, and residual entropy across a non-Fermi liquid to Fermi liquid transition
title_full Quench, thermalization, and residual entropy across a non-Fermi liquid to Fermi liquid transition
title_fullStr Quench, thermalization, and residual entropy across a non-Fermi liquid to Fermi liquid transition
title_full_unstemmed Quench, thermalization, and residual entropy across a non-Fermi liquid to Fermi liquid transition
title_short Quench, thermalization, and residual entropy across a non-Fermi liquid to Fermi liquid transition
title_sort quench thermalization and residual entropy across a non fermi liquid to fermi liquid transition
url http://doi.org/10.1103/PhysRevResearch.2.013307
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