Symmetry decomposition of relative entropies in conformal field theory
Hui-Huang Chen
Abstract
A bstract We consider the symmetry resolution of relative entropies in the 1+1 dimensional free massless compact boson conformal field theory (CFT) which presents an internal U(1) symmetry. We calculate various symmetry resolved Rényi relative entropies between one interval reduced density matrices of CFT primary states using the replica method. By taking the replica limit, the symmetry resolved relative entropy can be obtained. We also take the XX spin chain model as a concrete lattice realization of this CFT to perform numerical computation. The CFT predictions are tested against exact numerical calculations finding perfect agreement.
Topics & Concepts
Conformal field theoryPhysicsMassless particleConformal symmetryConformal mapReplica trickGlobal symmetryMathematical physicsReplicaSymmetry (geometry)Entropy (arrow of time)Quantum mechanicsSymmetry breakingSpontaneous symmetry breakingMathematicsGeometryVisual artsArtQuantum many-body systemsBlack Holes and Theoretical PhysicsPhysics of Superconductivity and Magnetism