Built on

A. M. García-García, T. Nosaka, D. Rosa and J. J. M. Verbaarschot, “Quantum chaos transition in a two-site Sachdev-Ye-Kitaev model dual to an eternal traversable wormhole,” Phys. Rev. D 100
Original
1901
Earlier work this paper cites.
I. Aref’eva and I. Volovich, “Spontaneous symmetry breaking in fermionic random matrix model,” JHEP 10
Original
1902
Earlier work this paper cites.
P. Saad, S. H. Shenker and D. Stanford, “JT gravity as a matrix integral,” [arXiv:1903.11115 [hep-th]]
Original
1903
Earlier work this paper cites.
K. Okuyama, “Replica symmetry breaking in random matrix model: a toy model of wormhole networks,” Phys. Lett. B 803
Original
1903
Earlier work this paper cites.
I. Aref’eva and I. Volovich, “Gas of baby universes in JT gravity and matrix models,” Symmetry 12
Original
1905
Earlier work this paper cites.
G. Penington, “Entanglement Wedge Reconstruction and the Information Paradox,” JHEP 09
Original
1905
Earlier work this paper cites.
A. Almheiri, N. Engelhardt, D. Marolf and H. Maxfield, “The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole,” JHEP 1912
Original
1905
Earlier work this paper cites.
I. Ya. Aref’eva, I. Volovich and M. A. Khramtsov, “Revealing nonperturbative effects in the SYK model,” Theor. Math. Phys. 201
Original
1905
Earlier work this paper cites.
J. Jiang and Z. Yang, “Thermodynamics and Many Body Chaos for generalized large q SYK models,” JHEP 08
Original
1905
Earlier work this paper cites.
P. Nayak, J. Sonner and M. Vielma, “Extended Eigenstate Thermalization and the role of FZZT branes in the Schwarzian theory,” JHEP 03
Original
1907
Earlier work this paper cites.
M. A. Cardella, “Derivation of the two Schwarzians effective action for the Sachdev-Ye-Kitaev spectral form factor,” [arXiv:1907.09570 [hep-th]]
Original
1907
Earlier work this paper cites.
D. Stanford and E. Witten, “JT Gravity and the Ensembles of Random Matrix Theory,” [arXiv:1907.03363 [hep-th]]
Original
1907
Earlier work this paper cites.
A. Almheiri, R. Mahajan, J. Maldacena and Y. Zhao, “The Page curve of Hawking radiation from semiclassical geometry,” JHEP 03
Original
1908
Earlier work this paper cites.
P. Saad, “Late Time Correlation Functions, Baby Universes, and ETH in JT Gravity,” [arXiv:1910.10311 [hep-th]]
Original
1910
Earlier work this paper cites.
A. Lucas, “Non-perturbative dynamics of the operator size distribution in the Sachdev–Ye–Kitaev model,” J. Math. Phys. 61
Original
1910
Earlier work this paper cites.
P. Gao and D. L. Jafferis, “A Traversable Wormhole Teleportation Protocol in the SYK Model,” [arXiv:1911.07416 [hep-th]]
Original
1911
Earlier work this paper cites.
G. Penington, S. H. Shenker, D. Stanford and Z. Yang, “Replica wormholes and the black hole interior,” arXiv:1911.11977 [hep-th]
Original
1911
Earlier work this paper cites.
A. Almheiri, T. Hartman, J. Maldacena, E. Shaghoulian and A. Tajdini, “Replica Wormholes and the Entropy of Hawking Radiation,” JHEP 05
Original
1911
Earlier work this paper cites.
A. Streicher, “SYK Correlators for All Energies,” JHEP 02
Original
1911
Earlier work this paper cites.
Y. Jia and J. J. M. Verbaarschot, “Spectral Fluctuations in the Sachdev-Ye-Kitaev Model,” JHEP 07
Original
1912
Earlier work this paper cites.
C. V. Johnson, “Nonperturbative Jackiw-Teitelboim gravity,” Phys. Rev. D 101
Original
1912
Earlier work this paper cites.

Similar

C. Choi, M. Mezei and G. Sárosi, “Exact four point function for large q q SYK from Regge theory,” [arXiv:1912.00004 [hep-th]]
Original
1912
Cited alongside, same era.
T. Nosaka and T. Numasawa, “Quantum Chaos, Thermodynamics and Black Hole Microstates in the mass deformed SYK model,” JHEP 08
Original
1912
Cited alongside, same era.
S. Sachdev and J. Ye, “Gapless spin fluid ground state in a random, quantum Heisenberg magnet,” Phys. Rev. Lett. 70
1993
Cited alongside, same era.
M. Berkooz, N. Brukner, V. Narovlansky and A. Raz, “The double scaled limit of Super–Symmetric SYK models,” [arXiv:2003.04405 [hep-th]]
Original
2003
Cited alongside, same era.
M. Winer, S. K. Jian and B. Swingle, “An exponential ramp in the quadratic Sachdev-Ye-Kitaev model,” [arXiv:2006.15152 [cond-mat.stat-mech]]

Then

T. Li, J. Liu, Y. Xin and Y. Zhou, “Supersymmetric SYK model and random matrix theory,” JHEP 06
Original
2017
Later among the works it cites.
A. del Campo, J. Molina-Vilaplana and J. Sonner, “Scrambling the spectral form factor: unitarity constraints and exact results,” Phys. Rev. D 95
Original
2017
Later among the works it cites.
J. Sonner and M. Vielma, “Eigenstate thermalization in the Sachdev-Ye-Kitaev model,” JHEP 11
Original
2017
Later among the works it cites.
A. Eberlein, V. Kasper, S. Sachdev and J. Steinberg, “Quantum quench of the Sachdev-Ye-Kitaev Model,” Phys. Rev. B 96
Original
2017
Later among the works it cites.
R. Bhattacharya, S. Chakrabarti, D. P. Jatkar and A. Kundu, “SYK Model, Chaos and Conserved Charge,” JHEP 11

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2020

Spectral form factor in the double-scaled SYK model

Khramtsov, Mikhail, Lanina, Elena

Understand

In this note we study the spectral form factor in the SYK model in large $q$ limit at infinite temperature.

We construct analytic solutions for the saddle point equations that describe the slope and the ramp regions of the spectral form factor time dependence.
These saddle points are obtained by taking different approaches to the large $q$ limit: the slope region is described by a replica-diagonal solution and the ramp region is described by a replica-nondiagonal solution.
We find that the onset of the ramp behavior happens at the Thouless time of order $q \log q$.