Non-unitary dynamics of Sachdev-Ye-Kitaev chain
arXiv:2008.11955 · doi:10.21468/SciPostPhys.10.2.048
Abstract
We construct a series of one-dimensional non-unitary dynamics consisting of both unitary and imaginary evolutions based on the Sachdev-Ye-Kitaev model. Starting from a short-range entangled state, we analyze the entanglement dynamics using the path integral formalism in the large limit. Among all the results that we obtain, two of them are particularly interesting: (1) By varying the strength of the imaginary evolution, the interacting model exhibits a first order phase transition from the highly entangled volume law phase to an area law phase; (2) The one-dimensional free fermion model displays an extensive critical regime with emergent two-dimensional conformal symmetry.
arXiv comment18 pages, 11 figures
References in corpus (50)
- Chaos and Quantum Thermalization
- Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
- Comments on the Sachdev-Ye-Kitaev model
- Replica Wormholes and 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
- Measurement-induced criticality in random quantum circuits
- Unitary-projective entanglement dynamics
- Quantum Error Correction in Scrambling Dynamics and Measurement-Induced Phase Transition
- Thermoelectric transport in disordered metals without quasiparticles: the SYK models and holography
- Towards the fast scrambling conjecture
- 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
- Entanglement in a fermion chain under continuous monitoring
- Scalable probes of measurement-induced criticality
- Entanglement transition from variable-strength weak measurements
- A strongly correlated metal built from Sachdev-Ye-Kitaev models
- Numerical study of fermion and boson models with infinite-range random interactions
- 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
- Quantum quench of the Sachdev-Ye-Kitaev Model
- Sub-ballistic growth of Rényi entropies due to diffusion
- Emergent conformal symmetry in non-unitary random dynamics of free fermions
- Universality of entanglement transitions from stroboscopic to continuous measurements
- Locality, Quantum Fluctuations, and Scrambling
- Spread of entanglement in a Sachdev-Ye-Kitaev chain
- Measurement-induced transitions of the entanglement scaling law in ultracold gases with controllable dissipation
- Competition between Chaotic and Non-Chaotic Phases in a Quadratically Coupled Sachdev-Ye-Kitaev Model
- Quantum chaos in the Brownian SYK model with large finite : 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
- Random free fermions: An analytical example of eigenstate thermalization
- A Random Unitary Circuit Model for Black Hole Evaporation
- Replica wormhole and information retrieval in the SYK model coupled to Majorana chains
- Operator Dynamics in Brownian Quantum Circuit
- Eigenstate entanglement in the Sachdev-Ye-Kitaev model
- Quantum chaos dynamics in long-range power law interaction systems
- A model for continuous thermal Metal to Insulator Transition
- Evaporation dynamics of the Sachdev-Ye-Kitaev model
- Does the SYK model have a spin glass phase?
- Subsystem Rényi Entropy of Thermal Ensembles for SYK-like models
- Many-body quantum dynamics slows down at low density
- Black holes as random particles: entanglement dynamics in infinite range and matrix models
- 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
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- SYK meets non-Hermiticity II: measurement-induced phase transition
- Spacetime duality between localization transitions and measurement-induced transitions
- Symmetry Classification and Universality in Non-Hermitian Many-Body Quantum Chaos by the Sachdev-Ye-Kitaev Model
- Measurement-induced criticality and entanglement clusters: a study of 1D and 2D Clifford circuits
- Topological transitions with continuously monitored free fermions
- Symmetry of Open Quantum Systems: Classification of Dissipative Quantum Chaos
- Lindbladian dissipation of strongly-correlated quantum matter
- Disordered monitored free fermions
- Lindbladian dynamics of the Sachdev-Ye-Kitaev model
- Measurement-induced purification in large-N hybrid Brownian circuits
- Emergent Replica Conformal Symmetry in Non-Hermitian SYK Chains
- Universal Entanglement Transitions of Free Fermions with Long-range Non-unitary Dynamics
- Yang-Lee edge singularity triggered entanglement transition
- Dynamical quantum phase transitions in SYK Lindbladians
- Diagnosing entanglement dynamics in noisy and disordered spin chains via the measurement-induced steady-state entanglement transition
- Decodable hybrid dynamics of open quantum systems with Z_2 symmetry
- Measurement-induced phase transitions in sparse nonlocal scramblers
- Universality and its limits in non-Hermitian many-body quantum chaos using the Sachdev-Ye-Kitaev model
- Information Scrambling and Entanglement Dynamics of Complex Brownian Sachdev-Ye-Kitaev Models
- Page Curve from Non-Markovianity
- Quantum entanglement and non-Hermiticity in free-fermion systems
- Entanglement Transition and Replica Wormhole in the Dissipative Sachdev-Ye-Kitaev Model
- Non-unitary Entanglement Dynamics in Continuous Variable Systems
- Quantum simulation using noisy unitary circuits and measurements
- Singular Value Decomposition and Its Blind Spot for Quantum Chaos in Non-Hermitian Sachdev-Ye-Kitaev Models
- Universal Properties of the Spectral Form Factor in Open Quantum Systems
- Strong-to-weak Symmetry Breaking and Entanglement Transitions
- Thermalization of Randomly Coupled SYK Models
- Universal hard-edge statistics of non-Hermitian random matrices
- Defect conformal field theory from Sachdev-Ye-Kitaev interactions