Remarks on the Sachdev-Ye-Kitaev model

By J. Maldacena, D. Stanford. 2016

1,905 citations recorded by the source corpus.

The authors study in detail the quantum mechanical model of $N$ Majorana fermions with random interactions of a few fermions at a time (Sachdev-Ye-Kitaev model) in the large $N$ limit. At low energies, the system is strongly interacting and an emergent conformal symmetry develops. Performing technical calculations, the authors elucidate a number of properties of the model near the conformal point.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/d73a9220363560249a3327bfafac8227d8e6d354

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. D. Stanford
2. R. Myers
3. Zhenbin Yang
4. Phil Saad
5. S. Shenker
6. J. Maldacena
7. D. Harlow
8. E. Witten

In Nuclear and High Energy Physics

1. D. Stanford
2. J. Maldacena
3. R. Myers
4. D. Harlow
5. S. Shenker
6. Zhenbin Yang
7. Phil Saad
8. E. Witten

Citations in the corpus

• The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole (2019, background): “It would also be very interesting to reproduce both this term and the coefficients αHP “ 1 and αS “ 1 from a calculation in an SYK model [54–56] or the like.”
• Quantum epidemiology: operator growth, thermal effects, and SYK (2018, methodology): “Therefore, if we take G = G0e with σ → 0 at the τ12 boundaries, we obtain Liouville’s equation [30,36]”
• AdS2 holographic dictionary (2016, background): “In [19, 25, 26] it was argued that such a dilaton gravity model provides a holographic description of the infrared limit of the Sachdev-YeKitaev model [27, 28], a quantum mechanical system of Majorana fermions with random long range interactions.”
• Quantum chaos and the complexity of spread of states (2022, neutral): “Thus, we see that in the infinite c/β limit, where the Schwarzian theory is well described by AdS 2 [68, 72–74, 78, 79], the evolution of the TFD is well described by motion in the SL (2 , R ) group at all times, and the Hamiltonian and complexity operator (29) closes an SL (2 , R ) “complexity…”
• Towards a 2d QFT analog of the SYK model (2017, methodology): “det(1−K) = 1 + π(2)(q − 2)(q − 1) csc( q ) qΓ((2) q )2 ( sin(πh) + sin( q ) ) Γ(2− 2 q −h)Γ(1− 2 q +h) which coincides with the expression for 1−K in the SYK model [1, 3, 4].”
• Diffusive Hydrodynamics of Out-of-Time-Ordered Correlators with Charge Conservation (2017, background): “[21] Juan Maldacena and Douglas Stanford, “Remarks on the Sachdev-Ye-Kitaev model,” Phys.”
• A spacetime derivation of the Lorentzian OPE inversion formula (2017, methodology): “o present a separate derivation for the interesting case of dimension one, where lightcone coordinates are not available but Caron-Huot’s formula does have a nontrivial analog, which played a role in [8]. 2 Two dimensions In this section we will derive the Lorentzian OPE inversion formula for the sp”
• Asymptotic fragility, near AdS2 holography and TT¯$$ T\overline{T} $$ (2017, background): “The second is the recent progress in resolving the puzzles of AdS2/CFT1 correspondence, resulting in the Schwarzian descritption of the NAdS2 holography (where N stands for Near) [3–10].”
• TASI Lectures on the Emergence of Bulk Physics in AdS/CFT (2017, background): “• Sub-AdS Locality: A general feature of exactly solvable models of holography so far, including not just the tensor network models described here but also higher spin [84] and d = 1 [85, 86] examples, is that they do not have local physics in the bulk at scales which are parametrically smaller than”
• Creating and probing the Sachdev-Ye-Kitaev model with ultracold gases: Towards experimental studies of quantum gravity (2016, neutral): “tain Lii′,jj′,kk′,ll′ = 0,L 2 ii′,jj′,kk′,ll′ = σ8 g 2nmsσν6 . (C15) The scale of the eigenenergies of Hˆ(2) eff is set by q 4N3K2 ij,kl/3! while that of Hˆ (4) eff is set by q 8N7L2 ii′,jj′,kk′,ll′/7! [33]. In order for the second-order approximation to be valid, the former must be much larger than t”
• Quantum extremal islands made easy. Part I. Entanglement on the brane (2020, background): “Let us add that JT gravity can be seen as the gravitational dual of the so-called SYK model [112–115].”
• The Schwarzian theory — origins (2018, background): “Sachdev-Ye-Kitaev (SYK) models of N Majorana fermions with random all-to-all interactions have received a host of attention in the past few years [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], mainly due to the appearance of maximally chaotic behavior [13, 14, 15, 16, 17], suggesting a 2d holographic dual”
• Solving the Schwarzian via the conformal bootstrap (2017, background): “The SYK model is a soluble many body quantum system with a well-controlled large N limit that exhibits maximal chaos and other characteristics that indicate it has a holographic dual given by a 2D gravity theory on AdS2 [2, 6, 7, 8, 9, 10, 11].”