Binary-coupling sparse SYK: an improved model of quantum chaos and holography
arXiv:2208.12098 · doi:10.1103/PhysRevB.107.L081103
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 , 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.
arXiv comment7 pages, 5 figures, Supplemental Materials (3 pages, 3 figures), references added
References in corpus (37)
- Quantum Simulation
- Random Matrix Theories in Quantum Physics: Common Concepts
- Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
- Comments on the Sachdev-Ye-Kitaev model
- The distribution of the ratio of consecutive level spacings in random matrix ensembles
- Quantum Simulators: Architectures and Opportunities
- Black Holes and Random Matrices
- Bekenstein-Hawking Entropy and Strange Metals
- Thermoelectric transport in disordered metals without quasiparticles: the SYK models and holography
- Holographic metals and the fractionalized Fermi liquid
- Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models
- A Generalization of Sachdev-Ye-Kitaev
- A strongly correlated metal built from Sachdev-Ye-Kitaev models
- Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
- Numerical study of fermion and boson models with infinite-range random interactions
- Notes on the complex Sachdev-Ye-Kitaev model
- Onset of Random Matrix Behavior in Scrambling Systems
- Supersymmetric SYK model and random matrix theory
- Misleading signatures of quantum chaos
- Higher Dimensional Generalizations of the SYK Model
- Creating and probing the Sachdev-Ye-Kitaev model with ultracold gases: Towards experimental studies of quantum gravity
- Cooper pairing of incoherent electrons: an electron-phonon version of the Sachdev-Ye-Kitaev 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
- Transport and chaos in lattice Sachdev-Ye-Kitaev models
- Quantum Simulation of the Non-Fermi-Liquid State of Sachdev-Ye-Kitaev Model
- Pedagogical introduction to SYK model and 2D Dilaton Gravity
- Supersymmetric SYK models
- Periodic Table of SYK and supersymmetric SYK
- Chaos in a classical limit of the Sachdev-Ye-Kitaev 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
- SYK Superconductivity: Quantum Kuramoto and Generalized Richardson Models
- 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/near-CFT duality
- Spectral Form Factors of Topological Phases
- Two-local modifications of SYK model with quantum chaos
- SYK model based 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