SYK meets non-Hermiticity II: measurement-induced phase transition

Abstract

We construct Brownian Sachdev-Ye-Kitaev (SYK) chains subjected to continuous monitoring and explore possible entanglement phase transitions therein. We analytically derive the effective action in the large-$N$ limit and show that an entanglement transition is caused by the symmetry breaking in the enlarged replica space. In the noninteracting case with SYK${}_2$ chains, the model features a continuous $O(2)$ symmetry between two replicas and a transition corresponding to spontaneous breaking of that symmetry upon varying the measurement rate. In the symmetry broken phase at low measurement rate, the emergent replica criticality associated with the Goldstone mode leads to a log-scaling entanglement entropy that can be attributed to the free energy of vortices. In the symmetric phase at higher measurement rate, the entanglement entropy obeys area-law scaling. In the interacting case, the continuous $O(2)$ symmetry is explicitly lowered to a discrete $C_4$ symmetry, giving rise to volume-law entanglement entropy in the symmetry-broken phase due to the enhanced linear free energy cost of domain walls compared to vortices. The interacting transition is described by $C_4$ symmetry breaking. We also verify the large-$N$ critical exponents by numerically solving the Schwinger-Dyson equation.

4.5 pages + supplemental material, 4 figures

References in corpus (4)

• Critical properties of the measurement-induced transition in random quantum circuits
• Spread of entanglement in a Sachdev-Ye-Kitaev chain
• Competition between Chaotic and Non-Chaotic Phases in a Quadratically Coupled Sachdev-Ye-Kitaev Model
• Note on entropy dynamics in the Brownian SYK model

Cited by in corpus (105)

• Random Quantum Circuits
• Measurement-induced dark state phase transitions in long-ranged fermion systems
• Operator scaling dimensions and multifractality at measurement-induced transitions
• Dissipative Floquet Dynamics: from Steady State to Measurement Induced Criticality in Trapped-ion Chains
• Theory of free fermions under random projective measurements
• Nishimori's cat: stable long-range entanglement from finite-depth unitaries and weak measurements
• Measurement-induced phase transitions in $(d+1)$-dimensional stabilizer circuits
• Topological transitions with continuously monitored free fermions
• Symmetry of Open Quantum Systems: Classification of Dissipative Quantum Chaos
• Monitored Open Fermion Dynamics: Exploring the Interplay of Measurement, Decoherence, and Free Hamiltonian Evolution
• Measurement-induced phase transition for free fermions above one dimension
• Controlling entanglement at absorbing state phase transitions in random circuits
• Lindbladian dissipation of strongly-correlated quantum matter
• Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions
• Disordered monitored free fermions
• Generalized quantum measurements with matrix product states: Entanglement phase transition and clusterization
• Lindbladian dynamics of the Sachdev-Ye-Kitaev model
• Continuous Gaussian Measurements of the Free Boson CFT: A model for Exactly Solvable and Detectable Measurement-Induced Dynamics
• Emergent Replica Conformal Symmetry in Non-Hermitian SYK${}_2$ Chains
• Universal Entanglement Transitions of Free Fermions with Long-range Non-unitary Dynamics
• Purification Timescales in Monitored Fermions
• Coherence requirements for quantum communication from hybrid circuit dynamics
• Charge fluctuation and charge-resolved entanglement in a monitored quantum circuit with $U(1)$ symmetry
• Dynamics of measured many-body quantum chaotic systems
• Entangled multiplets and unusual spreading of quantum correlations in a continuously monitored tight-binding chain
• Localization properties in disordered quantum many-body dynamics under continuous measurement
• Non-Hermitian strongly interacting Dirac fermions: a quantum Monte-Carlo study
• Volume-law to area-law entanglement transition in a non-unitary periodic Gaussian circuit
• Majorana Loop Models for Measurement-Only Quantum Circuits
• Dynamical quantum phase transitions in SYK Lindbladians
• Diagnosing entanglement dynamics in noisy and disordered spin chains via the measurement-induced steady-state entanglement transition
• Holographic measurement and bulk teleportation
• Neural-Network Decoders for Measurement Induced Phase Transitions
• Entanglement phases, localization and multifractality of monitored free fermions in two dimensions
• Sequential measurements for quantum-enhanced magnetometry in spin chain probes
• Universal KPZ scaling in noisy hybrid quantum circuits
• Keldysh Wormholes and Anomalous Relaxation in the Dissipative Sachdev-Ye-Kitaev Model
• Entanglement phase transitions in non-Hermitian quasicrystals
• Measurement-induced transitions for interacting fermions
• Measurement-induced phase transitions in sparse nonlocal scramblers
• Entanglement Structure and Information Protection in Noisy Hybrid Quantum Circuits
• Noise-induced phase transitions in hybrid quantum circuits
• Diagrammatic method for many-body non-Markovian dynamics: memory effects and entanglement transitions
• Spread complexity for measurement-induced non-unitary dynamics and Zeno effect
• Measurement-induced criticality in ${\mathbb{Z}}_2$-symmetric quantum automaton circuits
• Interactions and integrability in weakly monitored Hamiltonian systems
• Evolution of many-body systems under ancilla quantum measurements
• Training variational quantum algorithms with random gate activation
• Entanglement Growth and Minimal Membranes in $(d+1)$ Random Unitary Circuits
• Information Scrambling and Entanglement Dynamics of Complex Brownian Sachdev-Ye-Kitaev Models
• Entanglement Phases in large-N hybrid Brownian circuits with long-range couplings
• Emergent Symmetry in Brownian SYK Models and Charge Dependent Scrambling
• Enhanced Entanglement in the Measurement-Altered Quantum Ising Chain
• Renormalization group for measurement and entanglement phase transitions
• Measurement-Induced Quantum Synchronization and Multiplexing
• Symmetry Breaking Dynamics in Quantum Many-Body Systems
• Measurement-induced phase transition in teleportation and wormholes
• The impact of different unravelings in a monitored system of free fermions
• Measurement-induced phase transitions in monitored infinite-range interacting systems
• Localization, fractality, and ergodicity in a monitored qubit
• Entanglement enhancement induced by noise in inhomogeneously monitored systems
• Theory of non-Hermitian fermionic superfluidity on a honeycomb lattice: Interplay between exceptional manifolds and van Hove Singularity
• Statistical Mechanics of Monitored Dissipative Random Circuits
• Entanglement Transition and Replica Wormhole in the Dissipative Sachdev-Ye-Kitaev Model
• A Dyson Brownian motion model for weak measurements in chaotic quantum systems
• Charge transport, information scrambling and quantum operator-coherence in a many-body system with U(1) symmetry
• Long-Range Bell States from Local Measurements and Many-Body Teleportation without Time-Reversal
• Ancilla quantum measurements on interacting chains: Sensitivity of entanglement dynamics to the type and concentration of detectors
• Universal Properties of the Spectral Form Factor in Open Quantum Systems
• Gapless Symmetry-Protected Topological States in Measurement-Only Circuits
• Strong-to-weak Symmetry Breaking and Entanglement Transitions
• Universal Stochastic Equations of Monitored Quantum Dynamics
• Entanglement transitions induced by quantum-data collection
• Universal hard-edge statistics of non-Hermitian random matrices
• Electric conductivity in non-Hermitian holography
• Quantum complexity phase transitions in monitored random circuits
• Phase diagram of non-Hermitian BCS superfluids in a dissipative asymmetric Hubbard model
• Semiclassical Limit of Measurement-Induced Transition in Many-Body Chaos in Integrable and Nonintegrable Oscillator Chains
• Prolonging a discrete time crystal by quantum-classical feedback
• Entanglement phase transitions in non-Hermitian Kitaev chains
• Measurement-Induced Phase Transition in State Estimation of Chaotic Systems and the Directed Polymer
• Phase transitions in sampling and error correction in local Brownian circuits
• Field theory for monitored Brownian SYK clusters
• Phase transitions induced by standard and predetermined measurements in transmon arrays
• Subsystem symmetry, spin glass order, and criticality from random measurements in a two-dimensional Bacon-Shor circuit
• Defect conformal field theory from Sachdev-Ye-Kitaev interactions
• Entangling power, gate typicality, and measurement-induced phase transitions
• Emergent deterministic entanglement dynamics in monitored infinite-range bosonic systems
• Multipartite Greenberger-Horne-Zeilinger Entanglement in Monitored Random Clifford Circuits
• Relaxation Critical Dynamics in Measurement-induced Phase Transitions
• Elusive phase transition in the replica limit of monitored systems
• Entanglement behavior and localization properties in monitored fermion systems
• Symmetry and Topology of Monitored Quantum Dynamics
• Universal Aspects of High-Temperature Relaxation Dynamics in Random Spin Models
• Markovian to non-Markovian phase transition in the operator dynamics of a mobile impurity
• Field theory of charge sharpening in symmetric monitored quantum circuits
• Response kinetic uncertainty relation for Markovian open quantum systems
• Disappearance of measurement-induced phase transition in a quantum spin system for large sizes
• Destruction and recovery of the entanglement entropy of a many-body quantum system after a single measurement
• Euclidean-to-Lorentzian wormhole transition and gravitational symmetry breaking in the Sachdev-Ye-Kitaev model
• Non-Commutative weak measurements: Entanglement, Symmetry Breaking, and the Role of Readout
• Generation of Volume-Law Entanglement by Local-Measurement-Only Quantum Dynamics
• Noisy Monitored Quantum Circuits
• Non-commutative Index of Measurement-only Entanglement Phase Transition
• Dissipation- versus Chaos-Induced Relaxation in Non-Markovian Quantum Many-Body Systems