Dynamics of charge-imbalance-resolved entanglement negativity after a quench in a free-fermion model
arXiv:2202.05309 · doi:10.1088/1742-5468/ac666c
Abstract
The presence of a global internal symmetry in a quantum many-body system is reflected in the fact that the entanglement between its subparts is endowed with an internal structure, namely it can be decomposed as sum of contributions associated to each symmetry sector. The symmetry resolution of entanglement measures provides a formidable tool to probe the out-of-equilibrium dynamics of quantum systems. Here, we study the time evolution of charge-imbalance-resolved negativity after a global quench in the context of free-fermion systems, complementing former works for the symmetry-resolved entanglement entropy. We find that the charge-imbalance-resolved logarithmic negativity shows an effective equipartition in the scaling limit of large times and system size, with a perfect equipartition for early and infinite times. We also derive and conjecture a formula for the dynamics of the charged Rényi logarithmic negativities. We argue that our results can be understood in the framework of the quasiparticle picture for the entanglement dynamics, and provide a conjecture that we expect to be valid for generic integrable models.
arXiv comment29 pages. v3: Correction of the correlation matrix for the quench from the dimer state
References in corpus (115)
- Separability Criterion for Density Matrices
- A computable measure of entanglement
- Nonequilibrium dynamics of closed interacting quantum systems
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Peres-Horodecki separability criterion for continuous variable systems
- Evolution of Entanglement Entropy in One-Dimensional Systems
- Time-dependence of correlation functions following a quantum quench
- Quantum thermalization through entanglement in an isolated many-body system
- Calculation of reduced density matrices from correlation functions
- Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
- Reduced density matrices and entanglement entropy in free lattice models
- Operator Spreading in Random Unitary Circuits
- Area laws in quantum systems: mutual information and correlations
- Quantum Entanglement Growth Under Random Unitary Dynamics
- Quench dynamics and relaxation in isolated integrable quantum spin chains
- Quantum Quenches in Extended Systems
- Probing entanglement entropy via randomized measurements
- Probing entanglement in a many-body-localized system
- Entanglement negativity in quantum field theory
- Entanglement and thermodynamics after a quantum quench in integrable systems
- Entropy scaling and simulability by Matrix Product States
- Evolution of entanglement entropy following a quantum quench: Analytic results for the XY chain in a transverse magnetic field
- Mixed-state entanglement from local randomized measurements
- Can One Trust Quantum Simulators?
- Solution of a minimal model for many-body quantum chaos
- Entanglement negativity in extended systems: A field theoretical approach
- Density-Matrix Spectra of Solvable Fermionic Systems
- Entanglement dynamics after quantum quenches in generic integrable systems
- Symmetry-resolved entanglement in many-body systems
- Conformal Field Theory for Inhomogeneous One-dimensional Quantum Systems: the Example of Non-Interacting Fermi Gases
- Exact dynamics in dual-unitary quantum circuits
- What is an integrable quench?
- Symmetry-resolved entanglement detection using partial transpose moments
- Entanglement spreading in a minimal model of maximal many-body quantum chaos
- Equipartition of the Entanglement Entropy
- Unitary circuits of finite depth and infinite width from quantum channels
- Quantum Generalized Hydrodynamics
- Partial time-reversal transformation and entanglement negativity in fermionic systems
- Holographic Charged Renyi Entropies
- Entropy of isolated quantum systems after a quench
- Spectral statistics and many-body quantum chaos with conserved charge
- Sub-ballistic growth of Rényi entropies due to diffusion
- Entanglement scaling of operators: a conformal field theory approach, with a glimpse of simulability of long-time dynamics in 1+1d
- The microscopic origin of thermodynamic entropy in isolated systems
- The entanglement membrane in chaotic many-body systems
- Symmetry resolved entanglement in free fermionic systems
- Entanglement negativity after a global quantum quench
- Machine Learning Assisted Many-Body Entanglement Measurement
- Quasiparticle dynamics of symmetry resolved entanglement after a quench: the examples of conformal field theories and free fermions
- Entanglement evolution and generalised hydrodynamics: noninteracting systems
- On Conservation Laws, Relaxation and Pre-relaxation after a Quantum Quench
- Entanglement and symmetry resolution in two dimensional free quantum field theories
- Spin-resolved entanglement spectroscopy of critical spin chains and Luttinger liquids
- Imbalance Entanglement: Symmetry Decomposition of Negativity
- On entropy growth and the hardness of simulating time evolution
- On the partial transpose of fermionic Gaussian states
- Entanglement and quantum transport in integrable systems
- Quench action and Renyi entropies in integrable systems
- Dynamics of Charge-Resolved Entanglement after a Local Quench
- Entanglement equipartition in critical random spin chains
- Entanglement negativity of fermions: monotonicity, separability criterion, and classification of few-mode states
- Many-body topological invariants for fermionic symmetry-protected topological phases
- Dynamical entanglement entropy with angular momentum and U(1) charge
- Many-body topological invariants for fermionic short-range entangled topological phases protected by antiunitary symmetries
- Confinement and lack of thermalization after quenches in the bosonic Schwinger model
- Particle Number Fluctuations, Rényi and Symmetry-resolved Entanglement Entropy in Two-dimensional Fermi Gas from Multi-dimensional Bosonization
- Entanglement evolution and generalised hydrodynamics: interacting integrable systems
- Symmetry resolved entanglement in gapped integrable systems: a corner transfer matrix approach
- Symmetry resolved entanglement entropy of excited states in a CFT
- Entanglement negativity bounds for fermionic Gaussian states
- Symmetry resolved entanglement: Exact results in 1D and beyond
- Symmetry decomposition of negativity of massless free fermions
- Twisted and untwisted negativity spectrum of free fermions
- Symmetry resolved relative entropies and distances in conformal field theory
- Quantum information dynamics in multipartite integrable systems
- Symmetry resolved entanglement in integrable field theories via form factor bootstrap
- Quantum information scrambling after a quantum quench
- Symmetry-resolved entanglement in symmetry-protected topological phases
- Full Counting Statistics in the Transverse Field Ising Chain
- Symmetry resolved entanglement in two-dimensional systems via dimensional reduction
- Measuring Fermionic Entanglement: Entropy, Negativity, and Spin Structure
- Entanglement spreading in non-equilibrium integrable systems
- Symmetry-Resolved Entanglement in AdS/CFT coupled to Chern-Simons Theory
- Full counting statistics in the gapped XXZ spin chain
- U(1) symmetry resolved entanglement in free 1+1 dimensional field theories via form factor bootstrap
- Entanglement spectroscopy of non-Abelian anyons: Reading off quantum dimensions of individual anyons
- Finite-size corrections in critical symmetry-resolved entanglement
- Entanglement dynamics in Rule 54: Exact results and quasiparticle picture
- Symmetry-resolved entanglement for excited states and two entangling intervals in AdS/CFT
- Rényi entropies after releasing the Néel state in the XXZ spin-chain
- Operational Entanglement of Symmetry-Protected Topological Edge States
- Boundary effects on symmetry resolved entanglement
- Towards entanglement negativity of two disjoint intervals for a one dimensional free fermion
- Finite-temperature entanglement negativity of free fermions
- Stationary entanglement entropies following an interaction quench in 1D Bose gas
- Symmetry decomposition of relative entropies in conformal field theory
- Entanglement revivals as a probe of scrambling in finite quantum systems
- Entanglement Negativity and Mutual Information after a Quantum Quench: Exact Link from Space-Time Duality
- Charged Entanglement Entropy of Local Operators
- Towards a Generalized Hydrodynamics description of Rényi entropies in integrable systems
- Spreading of entanglement and correlations after a quench with intertwined quasiparticles
- Entanglement growth and simulation efficiency in one-dimensional quantum lattice systems
- Symmetry-resolved entanglement in a long-range free-fermion chain
- Partial transpose of two disjoint blocks in XY spin chains
- Entanglement and diagonal entropies after a quench with no pair structure
- Rényi entropies of generic thermodynamic macrostates in integrable systems
- Symmetry Resolved Entanglement of Excited States in Quantum Field Theory I: Free Theories, Twist Fields and Qubits
- The Negativity Hamiltonian: An operator characterization of mixed-state entanglement
- The negativity contour: a quasi-local measure of entanglement for mixed states
- Symmetry-resolved entanglement entropy in critical free-fermion chains
- Entanglement Dynamics after a Quench in Ising Field Theory: A Branch Point Twist Field Approach
- Prethermalisation and Thermalisation in the Entanglement Dynamics
- Entanglement spreading and quasiparticle picture beyond the pair structure
- Entanglement estimation in tensor network states via sampling
- Symmetry-resolved entanglement entropy in Wess-Zumino-Witten models