Published November 6, 2020
| Supplemental Material + Published + Submitted
Journal Article
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Perturbed Sachdev-Ye-Kitaev Model: A Polaron in the Hyperbolic Plane
- Creators
- Lunkin, A. V.
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Kitaev, A. Yu.
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Feigel'man, M. V.
Abstract
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.
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.Attached Files
Published - PhysRevLett.125.196602.pdf
Submitted - 2006.14535.pdf
Supplemental Material - SM.pdf
Files
SM.pdf
Additional details
- Eprint ID
- 106429
- Resolver ID
- CaltechAUTHORS:20201104-130324443
- Foundation for Advancement of Theoretical Physics
- National Research University (Russia)
- 376205
- Simons Foundation
- Institute of Quantum Information and Matter (IQIM)
- Gordon and Betty Moore Foundation
- Created
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2020-11-05Created from EPrint's datestamp field
- Updated
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2023-03-16Created from EPrint's last_modified field
- Caltech groups
- Institute for Quantum Information and Matter