Critical properties and Rényi entropies of the spin-3/2 XXZ chain
arXiv:1201.3305 · doi:10.1103/PhysRevB.85.165112
Abstract
We discuss entanglement and critical properties of the spin-3/2 XXZ chain in its entire gapless region. Employing density-matrix renormalization group calculations combined with different methods based on level spectroscopy, correlation functions and entanglement entropies, we determine the sound velocity and the Luttinger parameter of the model as a function of the anisotropy parameter. Then, we focus on entanglement properties by systematically studying the behavior of Rényi entropies under both open and periodic boundary conditions, providing further evidence of recent findings about entanglement entropies of excited states in conformal field theory.
8 pages, 10 figures; small text revisions and a new figure. Accepted for publication in Phys. Rev. B
References in corpus (10)
- Many-Body Physics with Ultracold Gases
- An Open-System Quantum Simulator with Trapped Ions
- Spreading of correlations and entanglement after a quench in the one-dimensional Bose-Hubbard model
- Entanglement of low-energy excitations in Conformal Field Theory
- Detecting Quantum Critical Points using Bipartite Fluctuations
- Entanglement of excited states in critical spin chians
- Tomonaga-Luttinger-liquid criticality: numerical entanglement entropy approach
- Finite-size corrections of the Entanglement Entropy of critical quantum chains
- Homogeneous and inhomogeneous magnetic phases of constrained dipolar bosons
- Logarithmic delocalization of end spins in the S=3/2 antiferromagnetic Heisenberg chain
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