Entanglement and quantum phase transition in quantum mixed spin chains

Abstract

The ground entanglement and thermal entanglement in quantum mixed spin chains consisting of two integer spins 1 and two half integer spins 1/2 arrayed as $1/2-1/2-1-1$ in a unit cell with antiferromagnetic nearest-neighbor couplings $J_1$($J_2$) between the spins of equal (different) magnitudes, are investigated by adopting the log-negativity. The ground entanglement transition found here is closely related with the valence bond state transition, and the thermal entanglement near the critical point is calculated and shown that two distinct behaviors exist in the nearest neighbor same kind of spins and different kind of spins, respectively. The potential application of our results on the quantum information processing is also discussed.

5 pages, 4 figures, RevTex4, A minor correction is added into the figure caption

References in corpus (31)

• A computable measure of entanglement
• 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
• DMRG and periodic boundary conditions: a quantum information perspective
• Entanglement in the Quantum Heisenberg XY model
• Quantum Phase Transitions and Bipartite Entanglement
• Entanglement versus Correlations in Spin Systems
• Quantum Entanglement in Fermionic Lattices
• Cluster Algorithm for Vertex Models
• Diverging Entanglement Length in Gapped Quantum Spin Systems
• Entangled Rings
• Three-spin interactions in optical lattices and criticality in cluster Hamiltonians
• Threshold temperature for pairwise and many-particle thermal entanglement in the isotropic Heisenberg model
• Entanglement in a Valence-Bond-Solid State
• Nature and Measure of Entanglement in Quantum Phase Transitions
• Entanglement and correlation in anisotropic quantum spin systems
• Macroscopic entanglement jumps in model spin systems
• Magnetic Properties of a Quantum Ferrimagnet: NiCu(pba)(D_2O)_3 . 2D_2O
• Entanglement in SU(2)-invariant quantum spin systems
• Entanglement Energetics at Zero Temperature
• Spin Chains with Periodic Array of Impurities
• The Two-Dimensional S=1 Quantum Heisenberg Antiferromagnet at Finite Temperatures
• Entanglement in SU(2)-invariant quantum systems: The positive partial transpose criterion and others
• Alternating spin chains with singlet ground states
• Ground-State and Thermodynamic Properties of the Quantum Mixed Spin-1/2-1/2-1-1 Chain
• Quantum Disentanglement in Long-range Orders and Spontaneous Symmetry Breaking
• Non-Linear Sigma Model for Inhomogeneous Spin Chains
• Entanglement in the One-dimensional Kondo Necklace Model
• Phase Diagrams of Mixed Spin Chains with Period 4 by the Nonlinear $\sigma$ Model

Cited by in corpus (4)

• Phase transitions and thermal entanglement of the distorted Ising-Heisenberg spin chain: topology of multiple-spin exchange interactions in spin ladders
• Entanglement spectra of q-deformed higher spin VBS states
• Existence of two distinct valence bond solid states in the dimerized frustrated ferromagnetic $J_1$-$J_1^{\prime }$-$J_2$ chain
• Micromagnons and long-range entanglement in ferrimagnetic ground states