Information Scrambling and Entanglement Dynamics of Complex Brownian Sachdev-Ye-Kitaev Models

Abstract

In this work, we study the information scrambling and the entanglement dynamics in the complex Brownian Sachdev-Ye-Kitaev (cBSYK) models, focusing on their dependence on the charge density $n$. We first derive the effective theory for scramblons in a single cBSYK model, which gives closed-form expressions for the late-time OTOC and operator size. In particular, the result for OTOC is consistent with numerical observations in [1]. We then study the entanglement dynamics in cBSYK chains. We derive the density dependence of the entanglement velocity for both Rényi entropies and the Von Neumann entropy, with a comparison to the butterfly velocity. We further consider adding repeated measurements and derive the effective theory of the measurement induced transition which shows $U(2{)}_L\otimes U(2{)}_R$ symmetry for non-interacting models.

arXiv comment22 pages

References in corpus (54)

• A bound on chaos
• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• Comments on the Sachdev-Ye-Kitaev model
• Black holes and the butterfly effect
• Black holes as mirrors: quantum information in random subsystems
• Fast Scramblers
• Replica Wormholes and the Entropy of Hawking Radiation
• The entropy of Hawking radiation
• Measurement-Induced Phase Transitions in the Dynamics of Entanglement
• Quantum Zeno Effect and the Many-body Entanglement Transition
• Measurement-driven entanglement transition in hybrid quantum circuits
• Theory of the phase transition in random unitary circuits with measurements
• The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
• Unitary-projective entanglement dynamics
• Theory of universal incoherent metallic transport
• Quantum Error Correction in Scrambling Dynamics and Measurement-Induced Phase Transition
• Thermoelectric transport in disordered metals without quasiparticles: the SYK models and holography
• Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models
• Dynamical purification phase transitions induced by quantum measurements
• Critical properties of the measurement-induced transition in random quantum circuits
• Scalable probes of measurement-induced criticality
• Universal $T$-linear resistivity and Planckian limit in overdoped cuprates
• Entanglement transition from variable-strength weak measurements
• A strongly correlated metal built from Sachdev-Ye-Kitaev models
• Universal Charge Diffusion and the Butterfly Effect
• Microscopic model of quantum butterfly effect: out-of-time-order correlators and traveling combustion waves
• Operator growth in the SYK model
• Notes on the complex Sachdev-Ye-Kitaev model
• Measurement-induced phase transition: A case study in the non-integrable model by density-matrix renormalization group calculations
• SYK meets non-Hermiticity II: measurement-induced phase transition
• Quantum Epidemiology: Operator Growth, Thermal Effects, and SYK
• Universal Bound on Dynamical Relaxation Times and Black-Hole Quasinormal Ringing
• Many-Body Quantum Zeno Effect and Measurement-Induced Subradiance Transition
• Solvable Sachdev-Ye-Kitaev models in higher dimensions: from diffusion to many-body localization
• Spread of entanglement in a Sachdev-Ye-Kitaev chain
• Energy diffusion and the butterfly effect in inhomogeneous Sachdev-Ye-Kitaev chains
• Quantum Entanglement of the Sachdev-Ye-Kitaev Models
• Quantum chaos in the Brownian SYK model with large finite $N$: OTOCs and tripartite information
• Nonuniversal Entanglement Level Statistics in Projection-driven Quantum Circuits
• Dispersive SYK model: band structure and 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
• Operator size at finite temperature and Planckian bounds on quantum dynamics
• Emergent Replica Conformal Symmetry in Non-Hermitian SYK${}_2$ Chains
• A note on the SYK model with complex fermions
• A note on the complex SYK model and warped CFTs
• Subsystem Rényi Entropy of Thermal Ensembles for SYK-like models
• Entanglement Entropy of Two Coupled SYK Models and Eternal Traversable Wormhole
• Non-unitary dynamics of Sachdev-Ye-Kitaev chain
• Many-body quantum dynamics slows down at low density
• Note on entropy dynamics in the Brownian SYK model
• Renyi entanglement entropy of Fermi liquids and non-Fermi liquids: Sachdev-Ye-Kitaev model and dynamical mean field theories
• Entanglement Entropy and its Quench Dynamics for Pure States of the Sachdev-Ye-Kitaev model
• Perturbative calculations of entanglement entropy

Cited by in corpus (9)

• Majorana Loop Models for Measurement-Only Quantum Circuits
• Symmetries as Ground States of Local Superoperators: Hydrodynamic Implications
• Entanglement Transition and Replica Wormhole in the Dissipative Sachdev-Ye-Kitaev Model
• Strong-to-weak Symmetry Breaking and Entanglement Transitions
• Size Winding Mechanism beyond Maximal Chaos
• Efficient circular Dyson Brownian motion algorithm
• Anatomy of information scrambling and decoherence in the integrable Sachdev-Ye-Kitaev model
• Dissipation- versus Chaos-Induced Relaxation in Non-Markovian Quantum Many-Body Systems
• Krylov Winding and Emergent Coherence in Operator Growth Dynamics