Rényi entropy and negativity for massless Dirac fermions at conformal interfaces and junctions
arXiv:2205.04722 · doi:10.1007/JHEP08(2022)171
Abstract
We investigate the ground state of a (1+1)-dimensional conformal field theory built with species of massless free Dirac fermions coupled at one boundary point via a conformal junction/interface. Each CFT represents a wire of finite length . We develop a systematic strategy to compute the Rényi entropies for a generic bipartition between the wires and the entanglement negativity between two non-complementary sets of wires. Both these entanglement measures turn out to grow logarithmically with with an exactly calculated universal prefactor depending on the details of the junction and of the bipartition. These analytic predictions are tested numerically for junctions of free Fermi gases, finding perfect agreement.
References in corpus (69)
- A computable measure of entanglement
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- Entanglement Entropy and Quantum Field Theory
- Area laws for the entanglement entropy - a review
- Geometric and Renormalized Entropy in Conformal Field Theory
- Entanglement entropy and conformal field theory
- The logarithmic negativity: A full entanglement monotone that is not convex
- Cool horizons for entangled black holes
- Building up spacetime with quantum entanglement
- On Geometric Entropy
- Quantum entanglement in condensed matter systems
- Reduced density matrices and entanglement entropy in free lattice models
- Entanglement negativity in quantum field theory
- Duality and defects in rational conformal field theory
- Mixed-state entanglement from local randomized measurements
- Permeable conformal walls and holography
- Kramers-Wannier duality from conformal defects
- Entanglement and alpha entropies for a massive Dirac field in two dimensions
- Entanglement negativity in extended systems: A field theoretical approach
- Symmetry-resolved entanglement in many-body systems
- Entanglement hamiltonians in two-dimensional conformal field theory
- Topological Defects on the Lattice I: The Ising model
- Symmetry-resolved entanglement detection using partial transpose moments
- Equipartition of the Entanglement Entropy
- Partial time-reversal transformation and entanglement negativity in fermionic systems
- The entanglement entropy of one-dimensional gases
- Junctions of three quantum wires
- Junctions of three quantum wires and the dissipative Hofstadter model
- Symmetry resolved entanglement in free fermionic systems
- Entanglement and symmetry resolution in two dimensional free quantum field theories
- Physics at the entangling surface
- Solution of Some Integrable One-Dimensional Quantum Systems
- On the partial transpose of fermionic Gaussian states
- Exact relations between particle fluctuations and entanglement in Fermi gases
- Entanglement negativity of fermions: monotonicity, separability criterion, and classification of few-mode states
- Many-body topological invariants for fermionic short-range entangled topological phases protected by antiunitary symmetries
- Entanglement through conformal interfaces
- Entanglement entropy with interface defects
- Random matrices and entanglement entropy of trapped Fermi gases
- Symmetry decomposition of negativity of massless free fermions
- On entanglement evolution across defects in critical chains
- Twisted and untwisted negativity spectrum of free fermions
- Solution of the fermionic entanglement problem with interface defects
- Negativity spectrum of one-dimensional conformal field theories
- Entanglement spectrum degeneracy and Cardy formula in 1+1 dimensional conformal field theories
- Measuring Fermionic Entanglement: Entropy, Negativity, and Spin Structure
- Bosonization and Scale Invariance on Quantum Wires
- Junctions of anyonic Luttinger wires
- Quantum Fields on Star Graphs
- Finite-temperature entanglement negativity of free fermions
- A worldsheet extension of O(d,d;Z)
- Entanglement Entropy of Quantum Wire Junctions
- Junctions of three quantum wires for spin 1/2 electrons
- Critical entanglement of XXZ Heisenberg chains with defects
- Entanglement entropy in the Ising model with topological defects
- The entanglement entropy of 1D systems in continuous and homogenous space
- Exact results for the entanglement across defects in critical chains
- Quantum dynamics and entanglement of a 1D Fermi gas released from a trap
- Modular Hamiltonians for the massless Dirac field in the presence of a defect
- The Negativity Hamiltonian: An operator characterization of mixed-state entanglement
- Fusion of Critical Defect Lines in the 2D Ising Model
- Time evolution of entanglement negativity across a defect
- Entanglement evolution across defects in critical anisotropic Heisenberg chains
- Quantum wire junctions breaking time reversal invariance
- Entanglement entropy at CFT junctions
- Entanglement and topological interfaces
- Entanglement entropy and negativity in the Ising model with defects
- Transport through interacting defects and lack of thermalisation
- Quantum Wire Network with Magnetic Flux
Cited by in corpus (5)
- Domain wall melting across a defect
- Entanglement and negativity Hamiltonians for the massless Dirac field on the half line
- Entanglement evolution after a global quench across a conformal defect
- Entanglement Negativity and Defect Extremal Surface
- Entanglement entropies of an interval in the free Schrödinger field theory on the half line