Entanglement entropies of an interval for the massless scalar field in the presence of a boundary
arXiv:2308.00614 · doi:10.1007/JHEP05(2024)236
Abstract
We study the entanglement entropies of an interval for the massless compact boson either on the half line or on a finite segment, when either Dirichlet or Neumann boundary conditions are imposed. In these boundary conformal field theory models, the method of the branch point twist fields is employed to obtain analytic expressions for the two-point functions of twist operators. In the decompactification regime, these analytic predictions in the continuum are compared with the lattice numerical results in massless harmonic chains for the corresponding entanglement entropies, finding good agreement. The application of these analytic results in the context of quantum quenches is also discussed.
60 pages, 14 figures
References in corpus (35)
- Towards a derivation of holographic entanglement entropy
- Entanglement negativity in quantum field theory
- Entanglement and correlation functions following a local quench: a conformal field theory approach
- Entanglement hamiltonians in two-dimensional conformal field theory
- Mutual Information and Boson Radius in c=1 Critical Systems in One Dimension
- Evolution of entanglement after a local quench
- Finite temperature entanglement negativity in conformal field theory
- Spatial structures and localization of vacuum entanglement in the linear harmonic chain
- Entanglement Entropy and Twist Fields
- The g-theorem and quantum information theory
- BCFT entanglement entropy at large central charge and the black hole interior
- On the partial transpose of fermionic Gaussian states
- Local temperatures and local terms in modular Hamiltonians
- On Shape Dependence and RG Flow of Entanglement Entropy
- Entanglement entropy and negativity of disjoint intervals in CFT: Some numerical extrapolations
- Entanglement spectrum degeneracy and Cardy formula in 1+1 dimensional conformal field theories
- Finite-size corrections in critical symmetry-resolved entanglement
- Corner contributions to holographic entanglement entropy in AdS4/BCFT3
- On shape dependence of holographic mutual information in AdS4
- Entanglement entropy in the Ising model with topological defects
- On the continuum limit of the entanglement Hamiltonian
- Entanglement Hamiltonians for non-critical quantum chains
- Modular Hamiltonians for the massless Dirac field in the presence of a boundary
- Modular Hamiltonians for the massless Dirac field in the presence of a defect
- Microscopic Study of the Halperin - Laughlin Interface through Matrix Product States
- Universal relation between thermal entropy and entanglement entropy in CFT
- Entanglement Hamiltonian of the 1+1-dimensional free, compactified boson conformal field theory
- On the continuum limit of the entanglement Hamiltonian of a sphere for the free massless scalar field
- Entanglement of two disjoint intervals in conformal field theory and the 2D Coulomb gas on a lattice
- Entanglement and negativity Hamiltonians for the massless Dirac field on the half line
- Harmonic oscillator chains as Wigner Quantum Systems: periodic and fixed wall boundary conditions in gl(1|n) solutions
- Ergodic Edge Modes in the 4D Quantum Hall Effect
- Rényi entanglement entropies for the compactified massless boson with open boundary conditions
- Log to log-log crossover of entanglement in dimensional massive scalar field
- The operator algebra of cyclic orbifolds