Bi-partite entanglement entropy in massive two-dimensional quantum field theory
arXiv:0803.1999 · doi:10.1103/PhysRevLett.102.031602
Abstract
Recently, Cardy, Castro Alvaredo and the author obtained the first exponential correction to saturation of the bi-partite entanglement entropy at large region length, in massive two-dimensional integrable quantum field theory. It only depends on the particle content of the model, and not on the way particles scatter. Based on general analyticity arguments for form factors, we propose that this result is universal, and holds for any massive two-dimensional model (also out of integrability). We suggest a link of this result with counting pair creations far in the past.
5 pages, 2 figures. v2: improved presentation of result and calculations, section "discussion" adjusted, references adjusted
References in corpus (10)
- Concentrating Partial Entanglement by Local Operations
- Evolution of Entanglement Entropy in One-Dimensional Systems
- A finite entanglement entropy and the c-theorem
- Entanglement entropy of random quantum critical points in one dimension
- Form factors of branch-point twist fields in quantum integrable models and entanglement entropy
- Entanglement and alpha entropies for a massive Dirac field in two dimensions
- Increasing of entanglement entropy from pure to random quantum critical chains
- Entanglement entropy of the random spin-1 Heisenberg chain
- Bi-partite entanglement entropy in integrable models with backscattering
- Exact valence bond entanglement entropy and probability distribution in the XXX spin chain and the Potts model
Cited by in corpus (50)
- Entanglement entropy and conformal field theory
- Holographic Entanglement Entropy: An Overview
- Entanglement entropy in free quantum field theory
- Entanglement negativity in extended systems: A field theoretical approach
- Entanglement Entropy and Twist Fields
- Entanglement Entropy of a Massive Fermion on a Torus
- Bi-partite entanglement entropy in massive QFT with a boundary: the Ising model
- Entanglement Content of Quasi-Particle Excitations
- Branch Point Twist Field Form Factors in the sine-Gordon Model II: Composite Twist Fields and Symmetry Resolved Entanglement
- Entanglement Entropy in Scalar Field Theory
- Bi-partite entanglement entropy in massive 1+1-dimensional quantum field theories
- Exact entanglement entropy of the XYZ model and its sine-Gordon limit
- Entanglement entropy of highly degenerate states and fractal dimensions
- Universal scaling of the logarithmic negativity in massive quantum field theory
- Entanglement Entropy of Non-Unitary Integrable Quantum Field Theory
- Entanglement of the -State Potts Model via Form Factor Bootstrap: Total and Symmetry Resolved Entropies
- Permutation operators, entanglement entropy, and the XXZ spin chain in the limit Δ-> -1
- Entanglement Content of Quantum Particle Excitations II. Disconnected Regions and Logarithmic Negativity
- Symmetry Resolved Entanglement of Excited States in Quantum Field Theory I: Free Theories, Twist Fields and Qubits
- Entanglement Content of Quantum Particle Excitations I. Free Field Theory
- Eigenstate entanglement: Crossover from the ground state to volume laws
- Corrections to scaling for block entanglement in massive spin-chains
- Positivity, entanglement entropy, and minimal surfaces
- Arguments towards a c-theorem from branch-point twist fields
- Symmetry Resolved Entanglement of Excited States in Quantum Field Theory II: Numerics, Interacting Theories and Higher Dimensions
- Entanglement Content of Quantum Particle Excitations III. Graph Partition Functions
- Correlation Length and Unusual Corrections to the Entanglement Entropy
- Entanglement critical length at the many-body localization transition
- Tracing Through Scalar Entanglement
- Entropy inequalities from reflection positivity
- Entanglement Entropy from Corner Transfer Matrix in Forrester Baxter non-unitary RSOS models
- Entanglement Entropy from the Truncated Conformal Space
- Symmetry Resolved Measures in Quantum Field Theory: a Short Review
- Massive Corrections to Entanglement in Minimal E8 Toda Field Theory
- Reduced density matrix and entanglement in interacting quantum field theory with Hamiltonian truncation
- Universal corrections to the entanglement entropy in gapped quantum spin chains: a numerical study
- Composite branch-point twist fields in the Ising model and their expectation values
- Branch Point Twist Field Form Factors in the sine-Gordon Model I: Breather Fusion and Entanglement Dynamics
- Entanglement Rényi Entropies from Ballistic Fluctuation Theory: the free fermionic case
- Entanglement entropy between real and virtual particles in quantum field theory
- Sine-Gordon Theory : Entanglement entropy and holography
- Entanglement entropy along a massless renormalisation flow: the tricritical to critical Ising crossover
- Exact and Scaling Form of the Bipartite Fidelity of the Infinite XXZ Chain
- Approaching the RSOS critical points through entanglement: one model for many universalities
- Entanglement Entropy in Integrable Field Theories with Line Defects I. Topological Defect
- Entanglement content of kink excitations
- -Rényi CCNR Negativity of Compact Boson for multiple disjoint intervals
- Time Evolution of the Symmetry Resolved Entanglement Entropy after a Mass Quench
- Universal entanglement correction induced by relevant deformations at the quantum critical point
- Holographic entanglement renormalisation for fermionic quantum matter