2008/08/31 by F. C. Alcaraz, F C Alcaraz, M. S. Sarandy · 1 citation
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum many-body systems #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1103/physreva.78.032319
published as Phys. Rev. A 78, 032319 (2008) · 9 pages, 2 figures. v2: References updated. Published version
openalex publication_date 2008/09/17 · arxiv created 2008/10/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We analyze the finite-size corrections to entanglement in quantum critical systems. By using conformal symmetry and density functional theory, we discuss the structure of the finite-size contributions to a general measure of ground state entanglement, which are ruled by the central charge of the underlying conformal field theory. More generally, we show that all conformal towers formed by an infinite number of excited states (as the size of the system L\ensuremath→\ensuremath∞) exhibit a unique pattern of entanglement, which differ only at leading order (1∕L)2. In this case, entanglement is also shown to obey a universal structure, given by the anomalous dimensions of the primary operators of the theory. As an illustration, we discuss the behavior of pairwise entanglement for the eigenspectrum of the spin-1∕2 XXZ chain with an arbitrary length L for both periodic and twisted boundary conditions.