2006/10/27 by H. Casini, H Casini, M. Huerta +1 · 1 citation
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum many-body systems #Statistical Mechanics and Entropy #cond-mat.stat-mech #hep-th
paper · pdf · doi:10.1088/1751-8113/40/25/s57
published as J.Phys.A40:7031-7036,2007 · 6 pages, 2 figures. Talk given at the conference IRGAC 2006: 2nd. Intern. Conf. on Quantum Theories and Renormalization Group in Gravity and Cosmology (Barcelona, jun. 2006). Reference added
arxiv created 2006/10/27 · openalex publication_date 2007/06/06 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/31
The combination of the Lorentz symmetry and the strong subadditive property of the entropy leads to a c -theorem for the entanglement entropy in (1+1) dimensions. We present a simple derivation of this theorem and compare the associated c -functions with the Zamolodchikov's ones for the case of free fields. We discuss the various difficulties which are obstacles to the naive generalizations of the entropic c -theorem to higher dimensions.