U(1) symmetry resolved entanglement in free 1+1 dimensional field theories via form factor bootstrap
arXiv:2103.03197 · doi:10.1007/JHEP05(2021)197
Abstract
We generalise the form factor bootstrap approach to integrable field theories with U(1) symmetry to derive matrix elements of composite branch-point twist fields associated with symmetry resolved entanglement entropies. The bootstrap equations are solved for the free massive Dirac and complex boson theories, which are the simplest theories with U(1) symmetry. We present the exact and complete solution for the bootstrap, including vacuum expectation values and form factors involving any type and arbitrarily number of particles. The non-trivial solutions are carefully cross-checked by performing various limits and by the application of the Delta-theorem. An alternative and compact determination of the novel form factors is also presented. Based on the form factors of the U(1) composite branch-point twist fields, we re-derive earlier results showing entanglement equipartition for an interval in the ground state of the two models.
References in corpus (76)
- Entanglement Entropy and Quantum Field Theory
- Area laws for the entanglement entropy - a review
- Axion Cosmology
- Entanglement entropy and conformal field theory
- On Geometric Entropy
- Quantum entanglement in condensed matter systems
- Primordial Black Holes as a dark matter candidate
- Entanglement entropy in free quantum field theory
- Entanglement Renyi entropies in holographic theories
- Probing entanglement in a many-body-localized system
- Entanglement spectrum in one-dimensional systems
- Exact expectation values of local fields in quantum sine-Gordon model
- The entanglement of indistinguishable particles shared between two parties
- Entanglement entropy of two disjoint intervals in conformal field theory
- Form factors of branch-point twist fields in quantum integrable models and entanglement entropy
- Entanglement entropy of two disjoint intervals in conformal field theory II
- Entanglement and alpha entropies for a massive Dirac field in two dimensions
- Symmetry-resolved entanglement in many-body systems
- Evidence for unbounded growth of the number entropy in many-body localized phases
- Mutual Information and Boson Radius in c=1 Critical Systems in One Dimension
- Equipartition of the Entanglement Entropy
- Partial time-reversal transformation and entanglement negativity in fermionic systems
- Holographic Charged Renyi Entropies
- Absence of true localization in many-body localized phases
- Asymptotic factorisation of form factors in two-dimensional quantum field theory
- Symmetry resolved entanglement in free fermionic systems
- Entanglement and alpha entropies for a massive scalar field in two dimensions
- Quasiparticle dynamics of symmetry resolved entanglement after a quench: the examples of conformal field theories and free fermions
- 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
- Rényi generalization of the operational entanglement entropy
- Entanglement equipartition in critical random spin chains
- Dynamics of Charge-Resolved Entanglement after a Local Quench
- Dynamical entanglement entropy with angular momentum and U(1) charge
- On Rényi entropies of disjoint intervals in conformal field theory
- 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
- Symmetry resolved entanglement entropy of excited states in a CFT
- Symmetry resolved entanglement in gapped integrable systems: a corner transfer matrix approach
- Symmetry resolved entanglement: Exact results in 1D and beyond
- Entanglement Oscillations near a Quantum Critical Point
- Twisted and untwisted negativity spectrum of free fermions
- Symmetry resolved entanglement in integrable field theories via form factor bootstrap
- Entanglement entropy of two disjoint intervals in c=1 theories
- Entanglement spectrum degeneracy and Cardy formula in 1+1 dimensional conformal field theories
- Symmetry resolved entanglement in two-dimensional systems via dimensional reduction
- Full counting statistics in the gapped XXZ spin chain
- Entanglement spectroscopy of non-Abelian anyons: Reading off quantum dimensions of individual anyons
- Finite-size corrections in critical symmetry-resolved entanglement
- Bi-partite entanglement entropy in massive QFT with a boundary: the Ising model
- Entanglement entropy of two disjoint intervals from fusion algebra of twist fields
- Entanglement Content of Quasi-Particle Excitations
- Operational Entanglement of Symmetry-Protected Topological Edge States
- Boundary effects on symmetry resolved entanglement
- Bi-partite entanglement entropy in massive 1+1-dimensional quantum field theories
- Universal scaling of the logarithmic negativity in massive quantum field theory
- Branch Point Twist Field Correlators in the Massive Free Boson Theory
- Bounds on the entanglement entropy by the number entropy in non-interacting fermionic systems
- Charged Entanglement Entropy of Local Operators
- Entanglement entropies of minimal models from null-vectors
- Entanglement entropy of two disjoint intervals and the recursion formula for conformal blocks
- Entanglement Entropy of Non-Unitary Integrable Quantum Field Theory
- Bi-partite entanglement entropy in integrable models with backscattering
- Entanglement Content of Quantum Particle Excitations II. Disconnected Regions and Logarithmic Negativity
- Entanglement Content of Quantum Particle Excitations I. Free Field Theory
- Arguments towards a c-theorem from branch-point twist fields
- Entanglement Dynamics after a Quench in Ising Field Theory: A Branch Point Twist Field Approach
- Entanglement Content of Quantum Particle Excitations III. Graph Partition Functions
- Expectation values of twist fields and universal entanglement saturation of the free massive boson
- Higher particle form factors of branch point twist fields in integrable quantum field theories
- Massive Corrections to Entanglement in Minimal E8 Toda Field Theory
- Universal corrections to the entanglement entropy in gapped quantum spin chains: a numerical study
- Entanglement entropy and boundary renormalization group flow - exact results in the Ising universality class
- Composite branch-point twist fields in the Ising model and their expectation values
- Particle-Field Duality and Form Factors from Vertex Operators
Cited by in corpus (24)
- Symmetry resolved relative entropies and distances in conformal field theory
- Symmetry-resolved entanglement for excited states and two entangling intervals in AdS/CFT
- 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
- Symmetry-resolved Page curves
- Symmetry-resolved entanglement in a long-range free-fermion chain
- Entanglement of the -State Potts Model via Form Factor Bootstrap: Total and Symmetry Resolved Entropies
- Symmetry Resolved Entanglement of Excited States in Quantum Field Theory I: Free Theories, Twist Fields and Qubits
- Entanglement resolution of free Dirac fermions on a torus
- Multi-charged moments of two intervals in conformal field theory
- Exact hydrodynamic description of symmetry-resolved Rényi entropies after a quantum quench
- Symmetry Resolved Entanglement of Excited States in Quantum Field Theory II: Numerics, Interacting Theories and Higher Dimensions
- Universal Thermal Corrections to Symmetry-Resolved Entanglement Entropy and Full Counting Statistics
- Two-Point Functions of Composite Twist Fields in the Ising Field Theory
- Page curve and symmetries
- Branch Point Twist Field Form Factors in the sine-Gordon Model I: Breather Fusion and Entanglement Dynamics
- Balls and Walls: A Compact Unary Coding for Bosonic States
- A Path Integral Ground State Monte Carlo Algorithm for Entanglement of Lattice Bosons
- Entanglement Measures in a Nonequilibrium Steady State: Exact Results in One Dimension
- Exact quench dynamics of symmetry resolved entanglement in a free fermion chain
- Dynamics of charge-imbalance-resolved entanglement negativity after a quench in a free-fermion model
- Thermodynamic symmetry resolved entanglement entropies in integrable systems
- Illuminating entanglement shadows of BTZ black holes by a generalized entanglement measure
- Superselection-Resolved Entanglement in Lattice Gauge Theories: A Tensor Network Approach