On thermalization in the SYK and supersymmetric SYK models

Abstract

The eigenstate thermalization hypothesis is a compelling conjecture which strives to explain the apparent thermal behavior of generic observables in closed quantum systems. Although we are far from a complete analytic understanding, quantum chaos is often seen as a strong indication that the ansatz holds true. In this paper, we address the thermalization of energy eigenstates in the Sachdev-Ye-Kitaev model, a maximally chaotic model of strongly-interacting Majorana fermions. We numerically investigate eigenstate thermalization for specific few-body operators in the original SYK model as well as its $\mathcal{N}=1$ supersymmetric extension and find evidence that these models satisfy ETH. We discuss the implications of ETH for a gravitational dual and the quantum information-theoretic properties of SYK it suggests.

Published version

References in corpus (15)

• Thermalization and its mechanism for generic isolated quantum systems
• Black holes as mirrors: quantum information in random subsystems
• Breakdown of thermalization in finite one-dimensional systems
• Spectral and thermodynamic properties of the Sachdev-Ye-Kitaev model
• Chaos, Complexity, and Random Matrices
• More on Supersymmetric and 2d Analogs of the SYK Model
• The 1/N expansion of colored tensor models
• Quantum chaos and thermalization in gapped systems
• Quantum quench of the Sachdev-Ye-Kitaev Model
• Spread of entanglement in a Sachdev-Ye-Kitaev chain
• Eigenstate thermalization in the Sachdev-Ye-Kitaev model
• Complete random matrix classification of SYK models with $\mathcal{N}=0$, $1$ and $2$ supersymmetry
• Correlators in the $\mathcal{N}=2$ Supersymmetric SYK Model
• A note on the SYK model with complex fermions
• Supersymmetric SYK Model: Bi-local Collective Superfield/Supermatrix Formulation

Cited by in corpus (29)

• Quantum chaos and the complexity of spread of states
• An introduction to the SYK model
• Quantum Complexity of Time Evolution with Chaotic Hamiltonians
• Probing thermality beyond the diagonal
• Eigenstate entanglement in the Sachdev-Ye-Kitaev model
• Quantum Quenches and Thermalization in SYK models
• Eigenstate Thermalization Scaling in Majorana Clusters: from Chaotic to Integrable Sachdev-Ye-Kitaev Models
• Subsystem Rényi Entropy of Thermal Ensembles for SYK-like models
• Off-Diagonal Observable Elements from Random Matrix Theory: Distributions, Fluctuations, and Eigenstate Thermalization
• Towards the Holographic Dual of N = 2 SYK
• Quantum Chaotic Fluctuation-Dissipation Theorem: Effective Brownian Motion in Closed Quantum Systems
• Delayed Thermalization in Mass-Deformed SYK
• Entanglement Entropy and its Quench Dynamics for Pure States of the Sachdev-Ye-Kitaev model
• $\mathcal{N}=(0,2)$ SYK, Chaos and Higher-Spins
• Chaos and random matrices in supersymmetric SYK
• Exact Embeddings of JT Gravity in Strings and M-theory
• $T\overline{T}$ Deformations of Supersymmetric Quantum Mechanics
• Late Time Quantum Chaos of pure states in the SYK model
• Tensor Models for Black Hole Probes
• Eigenstate thermalization scaling in approaching the classical limit
• Finite-size scaling analysis of eigenstate thermalization
• Thermalization of Randomly Coupled SYK Models
• Superconducting gap ratio from strange metal phase in the absence of quasiparticles
• Super-maximal chaos and instability
• Integrability versus chaos in the steady state of many-body open quantum systems
• A simple model for Hawking radiation
• A route from maximal chaoticity to integrability
• Eigenstate Thermalization in the Two-Site SYK and SYK Chain Models
• Correlation Functions and Chaotic Behavior of the SYK Chain Model in Pure States