Quantum chaos in the sparse SYK model
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DOI: 10.1007/jhep02(2025)173
Abstract: The Sachdev-Ye-Kitaev (SYK) model is a system of N Majorana fermions with random interactions and strongly chaotic dynamics, which at low energy admits a holographically dual description as two-dimensional Jackiw-Teitelboim gravity. Hence the SYK model… read more here.
Keywords: syk model; model quantum; model; quantum chaos ... See more keywords
Hot wormholes and chaos dynamics in a two-coupled SYK model
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DOI: 10.1007/jhep03(2025)110
Abstract: We study the dynamics of chaos across the phase transition in a 2-coupled Sachdev-Ye-Kitaev (SYK) model, with a focus on the unstable “hot wormhole” phase. Using the Schwinger-Keldysh formalism, we employ two non-equilibrium protocols that… read more here.
Keywords: wormholes chaos; hot wormholes; chaos dynamics; syk model ... See more keywords
Supersymmetric SYK model and random matrix theory
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DOI: 10.1007/jhep06(2017)111
Abstract: A bstractIn this paper, we investigate the effect of supersymmetry on the symmetry classification of random matrix theory ensembles. We mainly consider the random matrix behaviors in the N=1$$ \mathcal{N}=1 $$ supersymmetric generalization of Sachdev-Ye-Kitaev… read more here.
Keywords: matrix theory; model; random matrix; syk model ... See more keywords
Gauging the complex SYK model
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DOI: 10.1007/jhep08(2025)217
Abstract: Motivated by SYK-like models describing near-BPS black holes in string/M-theory, we consider gauging the U(1) symmetry of the complex SYK model in the presence of a Wilson line with charge k. At a fixed background… read more here.
Keywords: gauging complex; syk model; complex syk; function ... See more keywords
Quantum chaos in the Brownian SYK model with large finite N : OTOCs and tripartite information
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DOI: 10.1007/jhep11(2019)038
Abstract: Abstract We consider the Brownian SYK model of N interacting Majorana fermions, with random couplings that are taken to vary independently at each time. We study the out-of-time-ordered correlators (OTOCs) of arbitrary observables and the… read more here.
Keywords: information; brownian syk; syk model; tripartite information ... See more keywords
An introduction to the SYK model
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/ab2ce1
Abstract: The Sachdev–Ye–Kitaev (SYK) model is a strongly coupled, quantum many-body system that is chaotic, nearly conformally invariant, and exactly solvable. This remarkable and, to date, unique combination of properties have driven the intense activity surrounding… read more here.
Keywords: introduction syk; syk model; model; physics ... See more keywords
Sparsity dependence of Krylov state complexity in the SYK model
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DOI: 10.1103/qsyk-m3sg
Abstract: We study the Krylov state complexity of the Sachdev-Ye-Kitaev (SYK) model for N≤28 Majorana fermions with q-body fermion interaction with q=4, 6, 8 for a range of sparse parameter k that controls the number of… read more here.
Keywords: krylov state; state complexity; complexity; syk model ... See more keywords