2018/10/16 by William Witczak-Krempa, William Witczak‐Krempa · 11 citations
Computer Science · Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Entropy (arrow of time) #Geometry #Invariant (physics) #Mathematics #Multipartite entanglement #Physics #Quantum #Quantum Information and Cryptography #Quantum discord #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Scaling #Squashed entanglement #Statistical physics #Theoretical physics #cond-mat.stat-mech #cond-mat.str-el #hep-th #quant-ph
paper · pdf · doi:10.1103/physrevb.99.075138
published in Physical review. B./Physical review. B 99(7) (American Physical Society) · 11 pages (single-column), 3 figures, 1 table
arxiv created 2018/10/16 · openalex publication_date 2019/02/20 · arxiv updated 2019/02/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
The entanglement entropy (EE) can measure the entanglement between a spatial subregion and its complement, which provides key information about quantum states. Here, rather than focusing on specific regions, we study how the entanglement entropy changes with small deformations of the entangling surface. This leads to the notion of entanglement susceptibilities. These relate the variation of the EE to the geometric variation of the subregion. We determine the form of the leading entanglement susceptibilities for a large class of scale invariant states, such as the ground states of conformal field theories, and systems with Lifshitz scaling, which includes fixed points governed by disorder. We then use the susceptibilities to derive the universal contributions that arise due to nonsmooth features in the entangling surface: corners in two dimensions, as well as cones and trihedral vertices in three dimensions. We finally discuss the generalization to R'enyi entropies.