Exact quench dynamics of symmetry resolved entanglement in a free fermion chain
arXiv:2106.13115 · doi:10.1088/1742-5468/ac21d7
Abstract
The study of the entanglement dynamics plays a fundamental role in understanding the behaviour of many-body quantum systems out of equilibrium. In the presence of a globally conserved charge, further insights are provided by the knowledge of the resolution of entanglement in the various symmetry sectors. Here, we carry on the program we initiated in [Phys. Rev. B 103, L041104 (2021)], for the study of the time evolution of the symmetry resolved entanglement in free fermion systems. We complete and extend our derivations also by defining and quantifying a symmetry resolved mutual information. The entanglement entropies display a time delay that depends on the charge sector that we characterise exactly. Both entanglement entropies and mutual information show effective equipartition in the scaling limit of large time and subsystem size. Furthermore, we argue that the behaviour of the charged entropies can be quantitatively understood in the framework of the quasiparticle picture for the spreading of entanglement, and hence we expect that a proper adaptation of our results should apply to a large class of integrable systems. We also find that the number entropy grows logarithmically with time before saturating to a value proportional to the logarithm of the subsystem size.
arXiv comment44 pages. v2: Correction of the quasiparticle picture for the doubly-charged moments. v3: Correction of the correlation matrix for the quench from the dimer state
References in corpus (112)
- A computable measure of entanglement
- Entanglement Entropy and Quantum Field Theory
- Nonequilibrium dynamics of closed interacting quantum systems
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- 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 and thermodynamics after a quantum quench in integrable systems
- Entropy scaling and simulability by Matrix Product States
- Entanglement spectrum in one-dimensional systems
- Evolution of entanglement entropy following a quantum quench: Analytic results for the XY chain in a transverse magnetic field
- The entanglement of indistinguishable particles shared between two parties
- Entanglement in a fermion chain under continuous monitoring
- Mixed-state entanglement from local randomized measurements
- Can One Trust Quantum Simulators?
- Solution of a minimal model for many-body quantum chaos
- Density-Matrix Spectra of Solvable Fermionic Systems
- Entanglement dynamics after quantum quenches in generic integrable systems
- Symmetry-resolved entanglement in many-body systems
- "Light-cone" dynamics after quantum quenches in spin chains
- 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
- Evidence for unbounded growth of the number entropy in many-body localized phases
- Equipartition of the Entanglement Entropy
- Entanglement entropy of two disjoint blocks in XY chains
- Unitary circuits of finite depth and infinite width from quantum channels
- Quantum Generalized Hydrodynamics
- Entropy of isolated quantum systems after a quench
- Spectral statistics and many-body quantum chaos with conserved charge
- Absence of true localization in many-body localized phases
- Entanglement negativity in the harmonic chain out of equilibrium
- Sub-ballistic growth of Rényi entropies due to diffusion
- The microscopic origin of thermodynamic entropy in isolated systems
- Entanglement scaling of operators: a conformal field theory approach, with a glimpse of simulability of long-time dynamics in 1+1d
- The entanglement membrane in chaotic many-body systems
- Symmetry resolved entanglement in free fermionic systems
- Entanglement entropy of two disjoint blocks in critical Ising models
- Entanglement negativity after a global quantum quench
- 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
- Imbalance Entanglement: Symmetry Decomposition of Negativity
- Spin-resolved entanglement spectroscopy of critical spin chains and Luttinger liquids
- On entropy growth and the hardness of simulating time evolution
- Rényi generalization of the operational entanglement entropy
- 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 and entropy in non-equilibrium conformal field theory
- Dynamical entanglement entropy with angular momentum and U(1) charge
- Symmetry-resolved dynamical purification in synthetic quantum matter
- Operationally accessible entanglement of one dimensional spinless fermions
- 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 entropy of excited states in a CFT
- On reduced density matrices for disjoint subsystems
- Symmetry resolved entanglement in gapped integrable systems: a corner transfer matrix approach
- Symmetry resolved entanglement: Exact results in 1D and beyond
- Symmetry decomposition of negativity of massless free fermions
- Symmetry resolved relative entropies and distances in conformal field theory
- Symmetry resolved entanglement in integrable field theories via form factor bootstrap
- Quantum information dynamics in multipartite integrable systems
- 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
- Entanglement spreading in non-equilibrium integrable systems
- 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
- 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
- Stationary entanglement entropies following an interaction quench in 1D Bose gas
- Branch Point Twist Field Form Factors in the sine-Gordon Model II: Composite Twist Fields and Symmetry Resolved Entanglement
- Symmetry decomposition of relative entropies in conformal field theory
- Entanglement revivals as a probe of scrambling in finite quantum systems
- Bounds on the entanglement entropy by the number entropy in non-interacting fermionic systems
- 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
- Entanglement structure of current-driven diffusive fermion systems
- Entanglement dynamics of a many-body localized system coupled to a bath
- Entanglement and diagonal entropies after a quench with no pair structure
- Rényi entropies of generic thermodynamic macrostates in integrable systems
- Unlimited growth of particle fluctuations in many-body localized phases
- Temperature driven quenches in the Ising model: appearance of negative Rényi mutual information
- The quasi-particle picture and its breakdown after local quenches: mutual information, negativity, and reflected entropy
- Quench action and large deviations: work statistics in the one-dimensional Bose gas
- Entanglement Dynamics after a Quench in Ising Field Theory: A Branch Point Twist Field Approach
- Prethermalisation and Thermalisation in the Entanglement Dynamics
- Computable Rényi mutual information: Area laws and correlations
- Entanglement spreading and quasiparticle picture beyond the pair structure
- Entanglement dynamics in the three-dimensional Anderson model
- Entanglement Measures in a Nonequilibrium Steady State: Exact Results in One Dimension