Entanglement in spin-1/2 dimerized Heisenberg systems
arXiv:quant-ph/0501117 · doi:10.1088/0253-6102/43/6/015
Abstract
We study entanglement in dimerized Heisenberg systems. In particular, we give exact results of ground-state pairwise entanglement for the four-qubit model by identifying a Z_2 symmetry. Although the entanglements cannot identify the critical point of the system, the mean entanglement of nearest-neighbor qubits really does, namely, it reaches a maximum at the critical point.
Four pages, three figures, accepted in Communications in Theoretical Physics
References in corpus (30)
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Entanglement in quantum critical phenomena
- Scaling of Entanglement close to a Quantum Phase Transitions
- Entanglement in a simple quantum phase transition
- Natural Thermal and Magnetic Entanglement in 1D Heisenberg Model
- Entanglement in the Quantum Heisenberg XY model
- Entanglement and the Phase Transition in Single Mode Superradiance
- Entanglement versus Correlations in Spin Systems
- Diverging Entanglement Length in Gapped Quantum Spin Systems
- Entangled Quantum States of Magnetic Dipoles
- Entanglement in a second order quantum phase transition
- Thermal concurrence mixing in a 1D Ising model
- Entanglement, quantum phase transition and scaling in XXZ chain
- Quantum entanglement and Bell inequalities in Heisenberg spin chains
- Enhanced the thermal Entanglement in Anisotropy XYZ Heisenberg Chain
- Effects of anisotropy on thermal entanglement
- Threshold temperature for pairwise and many-particle thermal entanglement in the isotropic Heisenberg model
- Teleportation via thermally entangled state of a two-qubit Heisenberg XX chain
- Entanglement teleportation via thermally entangled states of two-qubit Heisenberg XX chain
- Thermal entanglement in three-qubit Heisenberg models
- Mixedness and teleportation
- Entanglement and correlation in anisotropic quantum spin systems
- Entanglement in quantum computers described by the XXZ model with defects
- Entanglement in SU(2)-invariant quantum spin systems
- Pairwise entanglement in symmetric multi-qubit systems
- Entanglement, Mixedness, and Spin-Flip Symmetry in Multiple-Qubit Systems
- Boundary and impurity effects on entanglement of Heisenberg chains
- Ground state properties of antiferromagnetic Heisenberg spin rings
- Entanglement and decoherence in near-critical qubit chains
- Analytical results for entanglement in the five-qubit anisotropic Heisenberg model
Cited by in corpus (6)
- Fidelity approach to quantum phase transitions
- Two-Point Versus Multipartite Entanglement in Quantum Phase Transitions
- Entanglement properties in (1/2,1) mixed-spin Heisenberg systems
- The Entanglement in Anisotropic Heisenberg XYZ Chain with inhomogeneous magnetic field
- Entanglement oscillations in open Heisenberg chains
- Entanglement signatures for the dimerization transition in the Majumdar-Ghosh model