Post-measurement bipartite entanglement entropy in conformal field theories

2015/01/31 by M. A. Rajabpour
Computer Science · Mathematics · Physics and Astronomy · #Bipartite graph #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Discrete mathematics #Entropy (arrow of time) #Geometry #Mathematics #Physics #Quantum #Quantum Information and Cryptography #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Statistical physics #Theoretical physics #cond-mat.stat-mech #hep-th #quant-ph

paper · pdf · doi:10.1103/physrevb.92.075108

published as Phys. Rev. B 92, 075108 (2015) · 6 pages , 5 figures

openalex publication_date 2015/08/05 · arxiv created 2015/08/06 · arxiv updated 2015/08/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We derive exact formulas for bipartite von Neumann entanglement entropy after partial projective local measurement in (1+1)-dimensional conformal field theories with periodic and open boundary conditions. After defining the setup we will check numerically the validity of our results in the case of Klein-Gordon field theory (coupled harmonic oscillators) and spin-1/2 XX chain in a magnetic field. The agreement between analytical results and the numerical calculations is very good. We also find a lower bound for localizable entanglement in coupled harmonic oscillators.

Citations

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