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We present a replica path integral approach describing the quantum chaotic dynamics of the SYK model at large time scales.
Quasiclassical Method in the Theory of Superconductivity
A. I. Larkin and Yu. N. Ovchinnikov · 1969
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Validity of random matrix theories for many-particle systems
J. B. French and S. S M Wong · 1970
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Some random-matrix level and spacing distributions for fixed-particle-rank interactions
J. B. French and S. S M Wong · 1971
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Two-body random hamiltonian and level density
O. Bohigas and J. Flores · 1971
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Spacing and individual eigenvalue distributions of two-body random hamiltonians
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Repulsion of energy levels and conductivity of small metal samples
B. L. Altshuler and B. I. Shklovskii · 1986
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Gapless spin-fluid ground state in a random quantum Heisenberg magnet
Subir Sachdev and Jinwu Ye · 1993
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Spectral statistics beyond random matrix theory
A. V. Andreev and B. L. Altshuler · 1995
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Riemannian symmetric superspaces and their origin in random-matrix theory
Martin R Zirnbauer · 1996
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The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
A. Kitaev and S. J. Suh · 2017
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Sachdev-Ye-Kitaev model and thermalization on the boundary of many-body localized fermionic symmetry-protected topological states
Yi-Zhuang You, Andreas W. W. Ludwig, and Cenke Xu · 2017
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Spectral and thermodynamic properties of the Sachdev-Ye-Kitaev model
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Sachdev-Ye-Kitaev model as Liouville quantum mechanics
Dmitry Bagrets, Alexander Altland, and Alex Kamenev · 2016
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Power-law out of time order correlation functions in the SYK model
Dmitry Bagrets, Alexander Altland, and Alex Kamenev · 2017
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Scrambling the spectral form factor: Unitarity constraints and exact results
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Analytical spectral density of the Sachdev-Ye-Kitaev model at finite N N
Antonio M. García-García and Jacobus J. M. Verbaarschot · 2017
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Fermionic localization of the schwarzian theory
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