Entanglement Transition and Replica Wormhole in the Dissipative Sachdev-Ye-Kitaev Model
arXiv:2306.12571 · doi:10.1103/PhysRevD.109.046005
Abstract
Recent discoveries have highlighted the significance of replica wormholes in resolving the information paradox and establishing the unitarity of black hole evaporation. In this letter, we propose the dissipative Sachdev-Ye-Kitaev model (SYK) as a minimal quantum model that exhibits entanglement dynamics with features qualitatively similar to replica wormholes. As a demonstration, we investigate the entanglement growth of a pair of dissipative SYK models initialized in a thermofield double state (TFD). In the regime of large with weak dissipation, we observe a first-order entanglement transition characterized by a switch of the dominant saddle point: from replica diagonal solutions for short times to replica wormhole-like off-diagonal solutions for long times. Furthermore, we show that signature of replica wormholes persists even at moderate by using the Monte Carlo quantum trajectory method. Our work paves the way for explorations of replica wormhole physics in quantum simulators.
arXiv comment7 pages, 4 figures. Supplemental Material 8 pages, 2 figures
References in corpus (70)
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- Distributed Entanglement
- Aspects of Holographic Entanglement Entropy
- Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
- Comments on the Sachdev-Ye-Kitaev model
- Symmetry and Topology in Non-Hermitian Physics
- Generalized gravitational entropy
- Information in Black Hole Radiation
- Predicting Many Properties of a Quantum System from Very Few Measurements
- Logical quantum processor based on reconfigurable atom arrays
- Replica Wormholes and the Entropy of Hawking Radiation
- General Monogamy Inequality for Bipartite Qubit Entanglement
- The entropy of Hawking radiation
- Measurement-Induced Phase Transitions in the Dynamics of Entanglement
- Quantum Zeno Effect and the Many-body Entanglement Transition
- Mixed-state dynamics in one-dimensional quantum lattice systems: a time-dependent superoperator renormalization algorithm
- Keldysh Field Theory for Driven Open Quantum Systems
- Observation of parity-time symmetry breaking transitions in a dissipative Floquet system of ultracold atoms
- The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
- Third quantization: a general method to solve master equations for quadratic open Fermi systems
- Unitary-projective entanglement dynamics
- Quantum Error Correction in Scrambling Dynamics and Measurement-Induced Phase Transition
- Quantum Trajectories and Quantum Measurement Theory
- Information Retrieval and Criticality in Parity-Time-Symmetric Systems
- Operator growth in the SYK model
- Notes on the complex Sachdev-Ye-Kitaev model
- Measurement-induced entanglement and teleportation on a noisy quantum processor
- Parity-time-symmetric topological superconductor
- Cross-Platform Verification of Intermediate Scale Quantum Devices
- SYK meets non-Hermiticity II: measurement-induced phase transition
- Operator growth in open quantum systems: lessons from the dissipative SYK
- Spread of entanglement in a Sachdev-Ye-Kitaev chain
- Symmetry Classification and Universality in Non-Hermitian Many-Body Quantum Chaos by the Sachdev-Ye-Kitaev Model
- Symmetry of Open Quantum Systems: Classification of Dissipative Quantum Chaos
- Tunable Quantum Chaos in the Sachdev-Ye-Kitaev Model Coupled to a Thermal Bath
- Replica wormhole and information retrieval in the SYK model coupled to Majorana chains
- Thermofield dynamics: Quantum Chaos versus Decoherence
- Lindbladian dissipation of strongly-correlated quantum matter
- Euclidean wormhole in the SYK model
- Revival dynamics in a traversable wormhole
- Quantum Gravity in the Lab: Teleportation by Size and Traversable Wormholes
- Many-body quantum teleportation via operator spreading in the traversable wormhole protocol
- Symmetry Classification of Many-Body Lindbladians: Tenfold Way and Beyond
- Spectral Filtering Induced by Non-Hermitian Evolution with Balanced Gain and Loss: Enhancing Quantum Chaos
- Lindbladian dynamics of the Sachdev-Ye-Kitaev model
- Quantum Simulation of the Non-Fermi-Liquid State of Sachdev-Ye-Kitaev Model
- Scrambling Transition in a Radiative Random Unitary Circuit
- Evaporation dynamics of the Sachdev-Ye-Kitaev model
- Emergent Replica Conformal Symmetry in Non-Hermitian SYK Chains
- Quantum Gravity in the Lab: Teleportation by Size and Traversable Wormholes, Part II
- Field Theory of Many-Body Lindbladian Dynamics
- Operator-Schmidt decompositions and the Fourier transform, with applications to the operator-Schmidt numbers of unitaries
- Entanglement Entropy of Two Coupled SYK Models and Eternal Traversable Wormhole
- Dynamical quantum phase transitions in SYK Lindbladians
- Non-unitary dynamics of Sachdev-Ye-Kitaev chain
- Keldysh Wormholes and Anomalous Relaxation in the Dissipative Sachdev-Ye-Kitaev Model
- Renyi Entropy Dynamics and Lindblad Spectrum for Open Quantum System
- Quenched vs Annealed: Glassiness from SK to SYK
- Dynamical Transition of Operator Size Growth in Quantum Systems Embedded in an Environment
- Universality and its limits in non-Hermitian many-body quantum chaos using the Sachdev-Ye-Kitaev model
- The Coupled SYK model at Finite Temperature
- Entanglement Entropy and its Quench Dynamics for Pure States of the Sachdev-Ye-Kitaev model
- Out-of-time-ordered correlator in non-Hermitian quantum systems
- Renyi entanglement entropy of Fermi liquids and non-Fermi liquids: Sachdev-Ye-Kitaev model and dynamical mean field theories
- On the replica structure of Sachdev-Ye-Kitaev model
- Information Scrambling and Entanglement Dynamics of Complex Brownian Sachdev-Ye-Kitaev Models
- Quantifying information scrambling via Classical Shadow Tomography on Programmable Quantum Simulators
- Perturbative calculations of entanglement entropy
- Page Curve from Non-Markovianity
- Entropy Linear Response Theory with Non-Markovian Bath
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- Universal Properties of the Spectral Form Factor in Open Quantum Systems
- Strong-to-weak Symmetry Breaking and Entanglement Transitions
- Entanglement transitions induced by quantum-data collection
- Entanglement inside a black hole before the Page time
- Emergent Topology in Many-Body Dissipative Quantum Matter
- Open-system dynamics in local Lindbladians with chaotic spectra
- Connecting Magic Dynamics in Thermofield Double States to Spectral Form Factors
- Markovian to non-Markovian phase transition in the operator dynamics of a mobile impurity
- Unveiling Novel Insights in Quantum Dynamics through Extended Sachdev-Ye-Kitaev Model
- Hybrid Brownian SYK-Hubbard Model: from Spectral Function to Quantum Chaos
- Dissipation- versus Chaos-Induced Relaxation in Non-Markovian Quantum Many-Body Systems