Entangled spin clusters: some special features

Abstract

In this paper, we study three specific aspects of entanglement in small spin clusters. We first study the effect of inhomogeneous exchange coupling strength on the entanglement properties of the S=1/2 antiferromagnetic linear chain tetramer compound NaCuAsO_{4}. The entanglement gap temperature, T_{E}, is found to have a non-monotonic dependence on the value of $\alpha$, the exchange coupling inhomogeneity parameter. We next determine the variation of T_{E} as a function of S for a spin dimer, a trimer and a tetrahedron. The temperature T_{E} is found to increase as a function of S, but the scaled entanglement gap temperature t_{E} goes to zero as S becomes large. Lastly, we study a spin-1 dimer compound to illustrate the quantum complementarity relation. We show that in the experimentally realizable parameter region, magnetization and entanglement plateaus appear simultaneously at low temperatures as a function of the magnetic field. Also, the sharp increase in one quantity as a function of the magnetic field is accompanied by a sharp decrease in the other so that the quantum complementarity relation is not violated.

17 pages, 6 figures. Accepted in Phys. Rev. A

References in corpus (30)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Natural Thermal and Magnetic Entanglement in 1D Heisenberg Model
• Magnetization plateaus in spin chains: ``Haldane gap'' for half-integer spins
• Entanglement in the Quantum Heisenberg XY model
• Quantum Phase Transitions and Bipartite Entanglement
• Entangled Rings
• Entangled Quantum States of Magnetic Dipoles
• Magnetic Superstructure in the Two-Dimensional Quantum Antiferromagnet SrCu2(BO3)2
• A potential multipartide entanglement measure
• Thermal concurrence mixing in a 1D Ising model
• Effects of anisotropy on thermal entanglement
• Magnetic Susceptibility as a Macrosopic Entaglement Witness
• Entanglement Witnesses in Spin Models
• Characterization of separable states and entanglement witnesses
• Thermal and ground-state entanglement in Heisenberg XX qubit rings
• Entanglement in a first order quantum phase transition
• Crucial Role of Quantum Entanglement in Bulk Properties of Solids
• Energy as an Entanglement Witness for Quantum Many-Body Systems
• Entanglement and correlation in anisotropic quantum spin systems
• Macroscopic entanglement jumps in model spin systems
• Multipartite Entanglement in a One-Dimensional Time Dependent Ising Model
• Neutron Scattering and Magnetic Observables for S = 1/2 Molecular Magnets
• Thermal entanglement properties of small spin clusters
• Energy and multipartite entanglement in multidimensional and frustrated spin models
• Thermal entanglement in the nanotubular system Na_2V_3O_7
• Characterization of Distillable and Activable States using Entanglement Witnesses
• Entanglement and Quantum Phases in the Anisotropic Ferromagnetic Heisenberg Chain in the Presence of Domain Walls
• Global Entanglement for Multipartite Quantum States
• Magnetic behavior of a spin-1 dimer: model system for homodinuclear nickel (II) complexes
• Detection of multipartite entanglement with two-body correlations

Cited by in corpus (9)

• Entanglement, avoided crossings and quantum chaos in an Ising model with a tilted magnetic field
• Evidence for entanglement at high temperatures in an engineered molecular magnet
• Entanglement and magnetic order
• Molecular Nanomagnet ${\text{Cu}}^{\text{II}}{\text{Ni}}^{\text{II}}{\text{Cu}}^{\text{II}}$ as Resource for Bipartite and Tripartite Quantum Entanglement and Coherence
• Experimental Evidences of Quantum Phase Transition in a Spin Cluster Compound
• Distribution of a bipartite entanglement in a mixed spin-(1/2,1) Heisenberg tetramer
• Entanglement of the Ising-Heisenberg diamond spin-1/2 cluster in evolution
• Preparation of two-qubit entangled states on a spin-1/2 Ising-Heisenberg diamond spin cluster by controlling the measurement
• Two-spin and multi-spin quantum entanglement in V12 polyoxovanadate molecular nanomagnet