Entanglement Entropy and its Quench Dynamics for Pure States of the Sachdev-Ye-Kitaev model

Abstract

Sachdev-Ye-Kitaev (SYK) is a concrete solvable model with non-Fermi liquid behavior and maximal chaos. In this work, we study the entanglement Rényi entropy for the subsystems of the SYK model in the Kourkoulou-Maldacena states. We use the path-integral approach and take the saddle point approximation in the large-$N$ limit. We find a first-order transition exist when tuning the subsystem size for the $q=4$ case, while it is absent for the $q=2$ case. We further study the entanglement dynamics for such states under the real-time evolution for noninteracting, weakly interacting and strongly interacting SYK(-like) models.

18 pages, 5 figures

References in corpus (5)

• 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
• Competition between Chaotic and Non-Chaotic Phases in a Quadratically Coupled Sachdev-Ye-Kitaev Model
• Evaporation dynamics of the Sachdev-Ye-Kitaev model

Cited by in corpus (19)

• SYK meets non-Hermiticity II: measurement-induced phase transition
• Emergent Replica Conformal Symmetry in Non-Hermitian SYK${}_2$ Chains
• Universal Entanglement Transitions of Free Fermions with Long-range Non-unitary Dynamics
• Non-unitary dynamics of Sachdev-Ye-Kitaev chain
• Eigenstate capacity and Page curve in fermionic Gaussian states
• Renyi entanglement entropy of Fermi liquids and non-Fermi liquids: Sachdev-Ye-Kitaev model and dynamical mean field theories
• Holographic measurement and quantum teleportation in the SYK thermofield double
• Information Scrambling and Entanglement Dynamics of Complex Brownian Sachdev-Ye-Kitaev Models
• Information Scrambling with Conservation Laws
• Variational wavefunctions for Sachdev-Ye-Kitaev models
• Page Curve from Non-Markovianity
• Non-Stabilizerness of Sachdev-Ye-Kitaev Model
• Entanglement Transition and Replica Wormhole in the Dissipative Sachdev-Ye-Kitaev Model
• Thermalization of Randomly Coupled SYK Models
• Entropy Linear Response Theory with Non-Markovian Bath
• Dynamical mean-field theory for Rényi entanglement entropy and mutual Information in Hubbard Model
• Chaos-protected locality
• Universal non-equilibrium dynamics of pure states and density-dependent thermalization in Sachdev-Ye-Kitaev model
• Quantum entropy thermalization