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Perturbed Sachdev-Ye-Kitaev Model: A Polaron in the Hyperbolic Plane

Lunkin, A. V. and Kitaev, A. Yu. and Feigel’man, M. V. (2020) Perturbed Sachdev-Ye-Kitaev Model: A Polaron in the Hyperbolic Plane. Physical Review Letters, 125 (19). Art. No. 196602. ISSN 0031-9007. doi:10.1103/physrevlett.125.196602.

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We study the Sachdev-Ye-Kitaev (SYK₄) model with a weak SYK₂ term of magnitude Γ beyond the simplest perturbative limit considered previously. For intermediate values of the perturbation strength, J/N ≪ Γ ≪ J/√N, fluctuations of the Schwarzian mode are suppressed, and the SYK₄ mean-field solution remains valid beyond the timescale t₀ ∼ N/J up to t∗∼J/Γ². The out-of-time-order correlation function displays at short time intervals exponential growth with maximal Lyapunov exponent 2πT, but its prefactor scales as T at low temperatures T ≤ Γ.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Kitaev, A. Yu.0000-0002-5777-642X
Feigel’man, M. V.0000-0002-7114-5296
Additional Information:© 2020 American Physical Society. Received 5 July 2020; accepted 2 October 2020; published 3 November 2020. M. V. F. is grateful to L. B. Ioffe, A. Kamenev, V. E. Kravtsov, and K. S. Tikhonov for useful discussions. Research of A. V. L. was partially supported by the Foundation for Advancement of Theoretical Physics and Mathematics “Basis" and Basic research program of HSE. A. K. is supported by the Simons Foundation under Grant No. 376205 and through the “It from Qubit” program, as well as by the Institute of Quantum Information and Matter, a NSF Frontier center funded in part by the Gordon and Betty Moore Foundation.
Group:Institute for Quantum Information and Matter
Funding AgencyGrant Number
Foundation for Advancement of Theoretical PhysicsUNSPECIFIED
National Research University (Russia)UNSPECIFIED
Simons Foundation376205
Institute of Quantum Information and Matter (IQIM)UNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
Issue or Number:19
Record Number:CaltechAUTHORS:20201104-130324443
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:106429
Deposited By: Tony Diaz
Deposited On:05 Nov 2020 00:47
Last Modified:06 Dec 2022 18:48

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