2005/11/30 by Huan-Qiang Zhou, Thomas Barthel, John Ove Fjaerestad +3 · 5 citations
Computer Science · Mathematics · Physics and Astronomy · #Bipartite graph #Boundary (topology) #Combinatorics #Entropy (arrow of time) #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum discord #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Quantum mutual information #Renormalization group #Von Neumann entropy #cond-mat.str-el #quant-ph
paper · pdf · doi:10.1103/physreva.74.050305
published as Phys. Rev. A 74, 050305(R) (2006) · 4 pages, 2 figures
arxiv created 2005/11/30 · openalex publication_date 2006/11/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate boundary critical phenomena from a quantum-information perspective. Bipartite entanglement in the ground state of one-dimensional quantum systems is quantified using the R'enyi entropy S_\ensuremathα, which includes the von Neumann entropy (\ensuremathα\ensuremath→1) and the single-copy entanglement (\ensuremathα\ensuremath→\ensuremath∞) as special cases. We identify the contribution of the boundaries to the R'enyi entropy, and show that there is an entanglement loss along boundary renormalization group (RG) flows. This property, which is intimately related to the Affleck-Ludwig g theorem, is a consequence of majorization relations between the spectra of the reduced density matrix along the boundary RG flows. We also point out that the bulk contribution to the single-copy entanglement is half of that to the von Neumann entropy, whereas the boundary contribution is the same.