Binary-coupling sparse SYK: an improved model of quantum chaos and holography

Abstract

The sparse version of the Sachdev-Ye-Kitaev (SYK) model reproduces essential features of the original SYK model while reducing the number of disorder parameters. In this paper, we propose a further simplification of the model which we call the binary-coupling sparse SYK model. We set the nonzero couplings to be $\pm 1$, rather than being sampled from a continuous distribution such as Gaussian. Remarkably, this simplification turns out to be an improvement: the binary-coupling model exhibits strong correlations in the spectrum, which is the important feature of the original SYK model that leads to the quick onset of the random-matrix universality, more efficiently in terms of the number of nonzero terms. This model is better suited for analog or digital quantum simulations of quantum chaotic behavior and holographic metals due to its simplicity and scaling properties.

7 pages, 5 figures, Supplemental Materials (3 pages, 3 figures), references added

References in corpus (12)

• The distribution of the ratio of consecutive level spacings in random matrix ensembles
• A Generalization of Sachdev-Ye-Kitaev
• Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
• Higher Dimensional Generalizations of the SYK Model
• Symmetry Classification and Universality in Non-Hermitian Many-Body Quantum Chaos by the Sachdev-Ye-Kitaev Model
• Sparse Sachdev-Ye-Kitaev model, quantum chaos and gravity duals
• Optical lattice platform for the SYK model
• Non-Gaussian disorder average in the Sachdev-Ye-Kitaev model
• Phase diagram of the spin-1/2 Yukawa-SYK model: Non-Fermi liquid, insulator, and superconductor
• Thermalization of many many-body interacting SYK models
• On 1D, N = 4 Supersymmetric SYK-Type Models (I)
• Replica Symmetry Breaking for the Integrable Two-Site Sachdev-Ye-Kitaev Model

Cited by in corpus (16)

• Sachdev-Ye-Kitaev model on a noisy quantum computer
• Krylov complexity for non-local spin chains
• Out-of-time-order correlators and Lyapunov exponents in sparse SYK
• A model of randomly-coupled Pauli spins
• Probing quantum chaos through singular-value correlations in sparse non-Hermitian SYK model
• Information Scrambling and the Correspondence of Entanglement- and Operator Dynamics in Systems with Nonlocal Interactions
• Quantum advantage in batteries for Sachdev-Ye-Kitaev interactions
• Hayden-Preskill Recovery in Hamiltonian Systems
• Parisi's hypercube, Fock-space fluxes, and the microscopics of near-AdS${}_2$/near-CFT${}_1$ duality
• Spectral Form Factors of Topological Phases
• Two-local modifications of SYK model with quantum chaos
• SYK model based $\beta$ regime dependent two-qubit dynamical wormhole-inspired teleportation protocol simulation
• Complexity of Quadratic Quantum Chaos
• Relaxation Fluctuations of Correlation Functions: Spin and Random Matrix Models
• Detecting quantum chaos via pseudo-entropy
• Entanglement production in the Sachdev-Ye-Kitaev Model and its variants