Entanglement and SU(n) symmetry in one-dimensional valence-bond solid states

2011/03/21 by Román Orús, Roman Orus, Hong-Hao Tu · 22 citations
Chemistry · Mathematics · Physics and Astronomy · #Advanced NMR Techniques and Applications #Combinatorics #Mathematics #Physics #Quantum #Quantum and electron transport phenomena #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Valence (chemistry) #cond-mat.str-el #quant-ph

paper · pdf · doi:10.1103/physrevb.83.201101

published in Physical Review B 83(20) (American Physical Society) · 4 pages, 2 figures

arxiv created 2011/03/21 · openalex publication_date 2011/05/23 · arxiv updated 2015/03/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Here we evaluate the many-body entanglement properties of a generalized SU(n) valence-bond solid state on a chain. Our results follow from a derivation of the transfer matrix of the system which, in combination with symmetry properties, allows for an elegant and straightforward evaluation of different entanglement measures. In particular, the geometric entanglement per block, correlation length, von Neumann and R'enyi entropies of a block, localizable entanglement, and entanglement length are obtained in a very simple way. All our results are in agreement with previous derivations for the SU(2) case.

Citations

• Universality of Entropy Scaling in One Dimensional Gapless Models
• Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations
• Geometric measure of entanglement and applications to bipartite and multipartite quantum states
• Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
• ENTANGLEMENT IN VALENCE-BOND-SOLID STATES
• TOPOLOGICAL ORDERS IN RIGID STATES
• Class of exactly solvableSO(n)symmetric spin chains with matrix product ground states
• Valence bond solid states with symplectic symmetry
• Entanglement in theXYspin chain
• Diverging Entanglement Length in Gapped Quantum Spin Systems
• Entanglement versus Correlations in Spin Systems
• Entanglement in a Valence-Bond Solid State
• Improving Vocabulary Knowledge and Reading Attitudes in 4th Grade Students Through Direct Vocabulary Instruction.