Towards quantum simulation of Sachdev-Ye-Kitaev model
arXiv:2003.01514 · doi:10.1016/j.scib.2020.03.037
Abstract
We study a simplified version of the Sachdev-Ye-Kitaev (SYK) model with real interactions by exact diagonalization. Instead of satisfying a continuous Gaussian distribution, the interaction strengths are assumed to be chosen from discrete values with a finite separation. A quantum phase transition from a chaotic state to an integrable state is observed by increasing the discrete separation. Below the critical value, the discrete model can well reproduce various physical quantities of the original SYK model, including the volume law of the ground-state entanglement, level distribution, thermodynamic entropy, and out-of-time-order correlation (OTOC) functions. For systems of size up to , we find that the transition point increases with system size, indicating that a relatively weak randomness of interaction can stabilize the chaotic phase. Our findings significantly relax the stringent conditions for the realization of SYK model, and can reduce the complexity of various experimental proposals down to realistic ranges.
arXiv comment7 pages, 5 figures
References in corpus (38)
- A bound on chaos
- Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
- Localization of interacting fermions at high temperature
- The distribution of the ratio of consecutive level spacings in random matrix ensembles
- Chaos in quantum channels
- The Spectrum in the Sachdev-Ye-Kitaev Model
- Spectral and thermodynamic properties of the Sachdev-Ye-Kitaev model
- Out-of-Time-Order Correlation for Many-Body Localization
- A strongly correlated metal built from Sachdev-Ye-Kitaev models
- Non-Fermi liquid regime of a doped Mott insulator
- Quantum Fluctuations of a Nearly Critical Heisenberg Spin Glass
- Solvable model for a dynamical quantum phase transition from fast to slow scrambling
- Sachdev-Ye-Kitaev Model and Thermalization on the Boundary of Many-Body Localized Fermionic Symmetry Protected Topological States
- Numerical study of fermion and boson models with infinite-range random interactions
- Analytical Spectral Density of the Sachdev-Ye-Kitaev Model at finite N
- Mean-Field Theory of a Quantum Heisenberg Spin Glass
- Digital Quantum Simulation of Minimal AdS/CFT
- Chaotic-Integrable Transition in the Sachdev-Ye-Kitaev Model
- Creating and probing the Sachdev-Ye-Kitaev model with ultracold gases: Towards experimental studies of quantum gravity
- Solvable Sachdev-Ye-Kitaev models in higher dimensions: from diffusion to many-body localization
- Approximating the Sachdev-Ye-Kitaev model with Majorana wires
- Instability of the non-Fermi liquid state of the Sachdev-Ye-Kitaev Model
- Quantum chaos transition in a two-site SYK model dual to an eternal traversable wormhole
- Competition between Chaotic and Non-Chaotic Phases in a Quadratically Coupled Sachdev-Ye-Kitaev Model
- Eigenstate entanglement in the Sachdev-Ye-Kitaev model
- Transport and chaos in lattice Sachdev-Ye-Kitaev models
- Quantum Simulation of the Non-Fermi-Liquid State of Sachdev-Ye-Kitaev Model
- A model for continuous thermal Metal to Insulator Transition
- Chaos in a classical limit of the Sachdev-Ye-Kitaev model
- Quantum criticality of granular SYK matter
- Non-Gaussian disorder average in the Sachdev-Ye-Kitaev model
- Charge transport in graphene-based mesoscopic realizations of Sachdev-Ye-Kitaev models
- Topological Sachdev-Ye-Kitaev Model
- The infinite-range quantum random Heisenberg magnet
- Effective dimension, level statistics, and integrability of Sachdev-Ye-Kitaev-like models
- Quantum and thermal fluctuations in the SU(N) Heisenberg spin-glass model near the quantum critical point
- Many-Body Localization in a finite-range Sachdev-Ye-Kitaev model
- Solvable model for quantum criticality between Sachdev-Ye-Kitaev liquid and disordered Fermi liquid
Cited by in corpus (5)
- Sachdev-Ye-Kitaev model on a noisy quantum computer
- Out-of-Time-Order Correlation as a Witness for Topological Phase Transitions
- Sachdev-Ye-Kitaev type physics in the strained Kitaev honeycomb model
- Sachdev-Ye-Kitaev physics from the Hubbard model: A Floquet engineering approach
- Realizing Unitary -designs with a Single Quench