Replica wormhole and information retrieval in the SYK model coupled to Majorana chains

Abstract

Motivated by recent studies of the information paradox in (1+1)-D anti-de Sitter spacetime with a bath described by a (1+1)-D conformal field theory, we study the dynamics of second Rényi entropy of the Sachdev-Ye-Kitaev (SYK) model ($\chi$) coupled to a Majorana chain bath ($\psi$). The system is prepared in the thermofield double (TFD) state and then evolved by $H_L+H_R$. For small system-bath coupling, we find that the second Rényi entropy $S_{{\chi }_L,{\chi }_R}^{(2)}$ of the SYK model undergoes a first order transition during the evolution. In the sense of holographic duality, the long-time solution corresponds to a "replica wormhole". The transition time corresponds to the Page time of a black hole coupled to a thermal bath. We further study the information scrambling and retrieval by introducing a classical control bit, which controls whether or not we add a perturbation in the SYK system. The mutual information between the bath and the control bit shows a positive jump at the Page time, indicating that the entanglement wedge of the bath includes an island in the holographic bulk.

25 pages, 12 figures

References in corpus (4)

• Black holes as mirrors: quantum information in random subsystems
• Spread of entanglement in a Sachdev-Ye-Kitaev chain
• Tunable Quantum Chaos in the Sachdev-Ye-Kitaev Model Coupled to a Thermal Bath
• Evaporation dynamics of the Sachdev-Ye-Kitaev model

Cited by in corpus (55)

• Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
• SYK meets non-Hermiticity II: measurement-induced phase transition
• Islands in Asymptotically Flat 2D Gravity
• Entanglement entropy in holographic moving mirror and Page curve
• Quantum Extremal Islands Made Easy, PartIII: Complexity on the Brane
• Islands and Page curves of Reissner-Nordström black holes
• BCFT and Islands in Two Dimensions
• Islands and complexity of eternal black hole and radiation subsystems for a doubly holographic model
• Reflected Entropy for an Evaporating Black Hole
• Islands and stretched horizon
• A two-way approach to out-of-time-order correlators
• Quantum Extremal Islands Made Easy, Part IV: Massive Black Holes on the Brane
• Defect extremal surface as the holographic counterpart of Island formula
• Emergent Replica Conformal Symmetry in Non-Hermitian SYK${}_2$ Chains
• Defect Extremal Surface for Reflected Entropy
• Universal Entanglement Transitions of Free Fermions with Long-range Non-unitary Dynamics
• Non-unitary dynamics of Sachdev-Ye-Kitaev chain
• Entanglement Islands in Generalized Two-dimensional Dilaton Black Holes
• Renyi Entropy Dynamics and Lindblad Spectrum for Open Quantum System
• Note on entropy dynamics in the Brownian SYK model
• JT Gravity from Partial Reduction and Defect Extremal Surface
• Ephemeral Islands, Plunging Quantum Extremal Surfaces and BCFT channels
• Tunneling through an Eternal Traversable Wormhole
• Defect extremal surfaces for entanglement negativity
• Information Scrambling and Entanglement Dynamics of Complex Brownian Sachdev-Ye-Kitaev Models
• Islands in the Stream of Hawking Radiation
• Information Scrambling with Conservation Laws
• Grey-body Factors, Irreversibility and Multiple Island Saddles
• Perturbative calculations of entanglement entropy
• Page Curve for Eternal Schwarzschild Black Hole in Dimensionally-Reduced Model of Dilaton Gravity
• Page Curve from Non-Markovianity
• Rescuing a black hole in the large-$q$ coupled SYK model
• Entanglement Transition and Replica Wormhole in the Dissipative Sachdev-Ye-Kitaev Model
• Toward a classification of PT-symmetric quantum systems: From dissipative dynamics to topology and wormholes
• Island of Reissner-Nordstr$\ddot{\mathbf{o}}$m anti-de Sitter black holes in the large $d$ limit
• Reflected Entropy and Entanglement Negativity for Holographic Moving Mirrors
• Entanglement entropy and vacuum states in Schwarzschild geometry
• Page curve entanglement dynamics in an analytically solvable model
• Strong-to-weak Symmetry Breaking and Entanglement Transitions
• Violation and Revival of Kramers' Degeneracy in Open Quantum Systems
• Entropy Linear Response Theory with Non-Markovian Bath
• Thermalization of Randomly Coupled SYK Models
• Black holes Entangled by Radiation
• Page Curve from Defect Extremal Surface and Island in Higher Dimensions
• Holographic moving mirrors
• Entanglement inside a black hole before the Page time
• Defect conformal field theory from Sachdev-Ye-Kitaev interactions
• A Microscopic Model of Black Hole Evaporation in Two Dimensions
• Wormhole-induced effective coupling in SYK chains
• $T\bar{T}$ deformation on non-Hermitian two coupled SYK model
• Chaos-protected locality
• Connecting Magic Dynamics in Thermofield Double States to Spectral Form Factors
• Hybrid Brownian SYK-Hubbard Model: from Spectral Function to Quantum Chaos
• The Sensitivity of PUEO to Cosmogenic Neutrinos and Exotic Physics Scenarios
• Quantum entropy thermalization