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Thermoelectric transport in disordered metals without quasiparticles: The Sachdev-Ye-Kitaev models and holography
- R. Davison, Wenbo Fu, A. Georges, Yingfei Gu, K. Jensen, S. Sachdev
- Physics
- 2 December 2016
We compute the thermodynamic properties of the Sachdev-Ye-Kitaev (SYK) models of fermions with a conserved fermion number Q. We extend a previously proposed Schwarzian effective action to include a…
Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models
- Yingfei Gu, X. Qi, D. Stanford
- Physics
- 26 September 2016
A bstractThe Sachdev-Ye-Kitaev model is a (0 + 1)-dimensional model describing Majorana fermions or complex fermions with random interactions. This model has various interesting properties such as…
Spread of entanglement in a Sachdev-Ye-Kitaev chain
- Yingfei Gu, A. Lucas, X. Qi
- Geology
- 2 August 2017
A bstractWe study the spread of Rényi entropy between two halves of a Sachdev-Ye-Kitaev (SYK) chain of Majorana fermions, prepared in a thermofield double (TFD) state. The SYK chain model is a model…
Fractional statistics and the butterfly effect
- Yingfei Gu, X. Qi
- Physics
- 21 February 2016
A bstractFractional statistics and quantum chaos are both phenomena associated with the non-local storage of quantum information. In this article, we point out a connection between the butterfly…
Notes on the complex Sachdev-Ye-Kitaev model
- Yingfei Gu, A. Kitaev, S. Sachdev, G. Tarnopolsky
- PhysicsJournal of High Energy Physics
- 30 October 2019
We describe numerous properties of the Sachdev-Ye-Kitaev model for complex fermions with N ≫ 1 flavors and a global U(1) charge. We provide a general definition of the charge in the ( G, Σ)…
Energy diffusion and the butterfly effect in inhomogeneous Sachdev-Ye-Kitaev chains
- Yingfei Gu, A. Lucas, X. Qi
- Physics
- 27 February 2017
We compute the energy diffusion constant $D$, Lyapunov time $\tau_{\text{L}}$ and butterfly velocity $v_{\text{B}}$ in an inhomogeneous chain of coupled Majorana Sachdev-Ye-Kitaev (SYK) models in the…
On the relation between the magnitude and exponent of OTOCs
- Yingfei Gu, A. Kitaev
- PhysicsJournal of High Energy Physics
- 1 December 2018
A bstractWe derive an identity relating the growth exponent of early-time OTOCs, the pre-exponential factor, and a third number called “branching time”. The latter is defined within the dynamical…
Emergent Spatial Structure and Entanglement Localization in Floquet Conformal Field Theory
- Ruihua Fan, Yingfei Gu, A. Vishwanath, X. Wen
- Physics
- 14 August 2019
We study the energy and entanglement dynamics of $(1+1)$D conformal field theories (CFTs) under a Floquet drive with the sine-square deformed (SSD) Hamiltonian. Previous work has shown this model…
Holographic entanglement renormalization of topological insulators
We study the real-space entanglement renormalization group flows of topological band insulators in (2+1) dimensions by using the continuum multiscale entanglement renormalization ansatz (cMERA).…
Eigenstate entanglement in the Sachdev-Ye-Kitaev model
- Yichen Huang, Yingfei Gu
- PhysicsPhysical Review D
- 27 September 2017
We study the entanglement entropy of eigenstates (including the ground state) of the Sachdev-Ye-Kitaev model. We argue for a volume law, whose coefficient can be calculated analytically from the…
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