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A Note on Sachdev-Ye-Kitaev Like Model without Random Coupling · Around

2016

A Note on Sachdev-Ye-Kitaev Like Model without Random Coupling

Nishinaka, Takahiro, Terashima, Seiji

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We study a description of the large N limit of the Sachdev-Ye-Kitaev (SYK) model in terms of quantum mechanics without quenched disorder.

Instead of random couplings, we introduce massive scalar fields coupled to fermions, and study a small mass limit of the theory.
We show that, under a certain condition, the correlation functions of fermions reproduce those of the SYK model with a temperature dependent coupling constant in the large N limit.
We also discuss a supersymmetric generalization of our quantum mechanical model.

Built on

S. Sachdev & J. Ye, “Gapless spin fluid ground state in a random, quantum Heisenberg magnet”
1993
Earlier work this paper cites.
A. Kitaev, “A simple model of quantum holography”
2015
Earlier work this paper cites.
A. Almheiri & J. Polchinski, “Models of AdS 2
Original
2015
Earlier work this paper cites.
S. Sachdev, “Bekenstein-Hawking Entropy and Strange Metals”
Original
2015
Earlier work this paper cites.
D. Bagrets, A. Altland & A. Kamenev, “Sachdev-Ye-Kitaev model as Liouville quantum mechanics”
Original
2015
Earlier work this paper cites.
P. Hosur, X.-L. Qi, D. A. Roberts & B. Yoshida, “Chaos in quantum channels”
Original
2016
Earlier work this paper cites.

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2016

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Y.-Z. You, A. W. W. Ludwig & C. Xu, “Sachdev-Ye-Kitaev Model and Thermalization on the Boundary of Many-Body Localized Fermionic Symmetry Protected Topological States”

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J. Maldacena, D. Stanford & Z. Yang, “Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space”

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I. Danshita, M. Hanada & M. Tezuka, “Creating and probing the Sachdev-Ye-Kitaev model with ultracold gases: Towards experimental studies of quantum gravity”

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M. Cvetic & I. Papadimitriou, “AdS 2 Holographic Dictionary”

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Y. Gu, X.-L. Qi & D. Stanford, “Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models”

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M. Berkooz, P.-Narayan, M. Rozali & J. Simón, “Higher Dimensional Generalizations of the SYK Model”

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