Thermalization in different phases of charged SYK model

Samui, Tousik; Sorokhaibam, Nilakash

doi:10.1007/jhep04(2021)157

Cited by 14 publications

(12 citation statements)

References 40 publications

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“…The chaotic dynamics is increasingly suppressed when the q = 2 coupling strength is increased but the system is never completely integrable. This agrees with high precision calculation of the Lyapunov exponent of this system [22]. The Lyapunov exponent never goes to zero completely.…”

Section: Introductionsupporting

confidence: 89%

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Phase transition and chaos in charged SYK model

Sorokhaibam

2019

Preprint

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We study chaotic-integrable transition and the nature of quantum chaos in SYK model with chemical potential. We find that the phase transition depends on the temperature steps used for the cooling and heating process. We also find that a mass-like term consisting of two fermion random interaction (q = 2 SYK term) does not give rise to a sharp transition. We find that turning on the chemical potential suppresses the Lyapunov exponent exponentially. We also show that this suppression is due to the chemical potential and not because of mass term in the Hamiltonian.

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Section: Introductionsupporting

confidence: 89%

“…One of the most important consequences of these results is that thermalization could be state-dependent. This is the subject of our ongoing work [22]. We also would like to point out that interesting gravity configurations with no black hole formation have been found [32,33].…”

Section: Introductionmentioning

confidence: 85%

Phase transition and chaos in charged SYK model

Sorokhaibam

2019

Preprint

Self Cite

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“…A Planckian lifetime has also been obtained by nonequilibrium studies of SYK models, which display a recovery of thermal Green's functions in a time that is independent of U , and proportional to the inverse final temperature (Almheiri et al, 2019;Bhattacharya et al, 2019;Dhar et al, 2019;Eberlein et al, 2017a;Kourkoulou and Maldacena, 2017;Lensky and Qi, 2021;Rossini et al, 2020;Samui and Sorokhaibam, 2021;Zhang, 2019); for closely related and complementary insights, see also (Cheipesh et al, 2020;Haldar et al, 2020;Haque and McClarty, 2019;Kuhlenkamp and Knap, 2020;Larzul and Schiró, 2021;Sonner and Vielma, 2017).…”

Section: Non-zero Temperaturesmentioning

confidence: 87%

Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids

Chowdhury,

Georges,

Parcollet

et al. 2021

Preprint

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We present a review of the Sachdev-Ye-Kitaev (SYK) model of compressible quantum many-body systems without quasiparticle excitations, and its connections to various theoretical studies of non-Fermi liquids in condensed matter physics. The review is placed in the context of numerous experimental observations on correlated electron materials. Strong correlations in metals are often associated with their proximity to a Mott transition to an insulator created by the local Coulomb repulsion between the electrons. We explore the phase diagrams of a number of models of such local electronic correlation, employing a dynamical mean field theory in the presence of random spin exchange interactions. Numerical analyses and analytical solutions, using renormalization group methods and expansions in large spin degeneracy, lead to critical regions which display SYK physics. The models studied include the single-band Hubbard model, the t-J model and the two-band Kondo-Heisenberg model in the presence of random spin exchange interactions. We also examine non-Fermi liquids obtained by considering each SYK model with random four-fermion interactions to be a multi-orbital atom, with the SYK-atoms arranged in an infinite lattice. We connect to theories of sharp Fermi surfaces without any low-energy quasiparticles in the absence of spatial disorder, obtained by coupling a Fermi liquid to a gapless boson; a systematic large N theory of such a critical Fermi surface, with SYK characteristics, is obtained by averaging over an ensemble

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“…In the large N limit it was shown that the system thermalizes to an equilibrium state at infinite temperature, unless the initial state is a correlated thermal state of the mixed SYK 4 +SYK 2 which lead to a finite effective temperature. More recent works have focused on the dynamics of mixed SYK models with complex fermions [25] or deformation of the SYK model possesing a quantum phase transition [26]. In the high-energy literature the dynamics of pure states in the SYK model have attracted some interest [27] in particular the dynamics of entanglement entropy [28].…”

Section: Introductionmentioning

confidence: 99%

Quenches and (Pre)Thermalisation in a mixed Sachdev-Ye-Kitaev Model

Larzul,

Schiró

2021

Preprint

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We study the nonequilibrium quench dynamics of a mixed Sachdev-Ye-Kitaev model, with competing two bodies random interactions leading to maximally chaotic Non-Fermi Liquid dynamics and a single body term which dominates at low temperatures and leads to Fermi liquid behavior. For different quench protocols, including sudden switching of two-body interaction and double quench protocols, we solve the large N real-time Dyson equation on the Keldysh contour and compute the dynamics of Green's functions from which we obtain effective temperature and relaxation rates. We show that the model thermalizes to a finite temperature equilibrium and that depending on the value of the quench parameters the effective temperature can be below or above the Fermi-Liquid to Non-Fermi Liquid crossover scale, which can then be accessed through the nonequilibrium dynamics. We identify quench protocols for which the heating dynamics slow down significantly, an effect that we interpret as a signature of prethermalization.

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Thermalization in different phases of charged SYK model

Cited by 14 publications

References 40 publications

Phase transition and chaos in charged SYK model

Phase transition and chaos in charged SYK model

Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids

Quenches and (Pre)Thermalisation in a mixed Sachdev-Ye-Kitaev Model

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