2015/03/26 by M. A. Rajabpour, Rajabpour, M. A. · 1 citation
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Other Condensed Matter (cond-mat.other) #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #cond-mat.other #hep-th #quant-ph
paper · pdf · doi:10.48550/arxiv.1503.07771
9 pages, 11+2 figures! Part of this paper is replaced with a new article arXiv: 1512.03940 which has a new title and has much more details including fresh analytical results. The other half hopefully will appear in another future work!
openalex publication_date 2015/03/26 · arxiv created 2016/03/28 · arxiv updated 2016/03/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We calculate numerically the Rényi bipartite entanglement entropy of the ground state of Klein-Gordon field theory (coupled harmonic oscillators) after fixing the position (partial measurement) of some of the oscillators in d=1,2 and 3 dimensions. We show that after partial measurement as far as the two parts are connected the area-law is valid in generic dimensions except in d=1 conformal field theories. When due to the measured region the two parts are disconnected, the entanglement entropy decreases exponentially with respect to the minimum distance between the regions. In the massless case the decay is power-law with a universal dimension-dependent exponent.