Quantum entanglement in mixed-spin trimer: Effects of a magnetic field and heterogeneous g-factors

Abstract

Mixed spin-(1/2,1/2,1) trimer with two different Landé g-factors and two different exchange couplings is considered. The main feature of the model is non-conserving magnetization. The Hamiltonian of the system is diagonalized analytically. We presented a detailed analysis of the ground state properties, revealing several possible ground state phase diagrams and magnetization profiles. The main focus is on how non-conserving magnetization affects quantum entanglement. We have found that non-conserving magnetization can bring to the continuous dependence of the entanglement quantifying parameter (negativity) on magnetic field within the same eigenstate, while for the case of uniform $g$-factors it is a constant. The main result is an essential enhancement of the entanglement in case of uniform couplings for one pair of spins caused by an arbitrary small difference in the values of $g$-factors. This enhancement is robust and brings to almost 7-fold increasing of the negativity. We have also found weakening of entanglement for other cases. Thus, non-conserving magnetization offers a broad opportunity to manipulate the entanglement by means of magnetic field.

arXiv comment13 pages, 19 figures

References in corpus (45)

• Quantum entanglement
• Experimental quantum teleportation
• Mixed State Entanglement and Quantum Error Correction
• A computable measure of entanglement
• Quantum Computing in Molecular Magnets
• Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
• Review article: Linear optical quantum computing
• Entanglement detection
• Generation of Atomic Cluster States through the Cavity Input-Output Process
• Machine Learning Assisted Many-Body Entanglement Measurement
• Imbalance Entanglement: Symmetry Decomposition of Negativity
• Benchmarking a Teleportation Protocol realized in Superconducting Circuits
• Entanglement, discord and the power of quantum computation
• Measuring Fermionic Entanglement: Entropy, Negativity, and Spin Structure
• Thermodynamic properties of a tetramer ferro-ferro-antiferro-antiferromagnetic Ising-Heisenberg bond alternating chain as a model system for Cu(3-Clpy)${}_2$(N${}_3$)${}_2$
• Dysprosium-based experimental representatives of an Ising-Heisenberg chain and a decorated Ising ring
• Implementation of the refined Deutsch-Jozsa algorithn on a 3-bit NMR quantum computer
• Ferromagnetic Exchange Anisotropy from Antiferromagnetic Superexchange in the Mixed 3d-5d Transition-Metal Compound Sr3CuIrO6
• Magneto-thermal properties of the Heisenberg-Ising orthogonal-dimer chain with triangular XXZ-clusters
• Magnetization process, bipartite entanglement and enhanced magnetocaloric effect of the exactly solved spin-1/2 Ising-Heisenberg tetrahedral chain
• Experimental quantum cryptography scheme based on orthogonal states
• Unconventional strengthening of a bipartite entanglement of a mixed spin-(1/2,1) Heisenberg dimer achieved through Zeeman splitting
• Magnetic and quantum entanglement properties of the distorted diamond chain model for azurite
• Magnetization non-rational quasi-plateau and spatially modulated spin order in the model of the single-chain magnet, [{(CuL)_2 Dy}{Mo(CN)_8}] 2CH_3CN H_2O
• Antiferromagnetic sawtooth chain with Heisenberg and Ising bonds
• Zero temperature non-plateau magnetization and magnetocaloric effect in an Ising-XYZ diamond chain structure
• On the absence of actual plateaus in zero-temperature magnetization curves of quantum spin clusters and chains
• Correlation functions in one-dimensional spin lattices with Ising and Heisenberg bonds
• Lattice distortions in a sawtooth chain with Heisenberg and Ising bonds
• Magnetic Properties and Thermal Entanglement on a Triangulated Kagome Lattice
• Quantum entanglement in the neighborhood of pseudo-transition for a spin-1/2 Ising-XYZ diamond chain
• Deterministic teleportation using single-photon entanglement as a resource
• Phase transitions and entanglement properties in spin-1 Heisenberg clusters with single-ion anisotropy
• Non-conserved magnetization operator and `fire-and-ice' ground states in the Ising-Heisenberg diamond chain
• Magnetization plateaus and bipartite entanglement of an exactly solved spin-1/2 Ising-Heisenberg orthogonal-dimer chain
• Spin Frustration and a `Half Fire, Half Ice' Critical Point from Nonuniform $g$-Factors
• Phase diagram and topological order in the modulated $XYZ$ chain with magnetic fields
• Insight into ground-state spin arrangement and bipartite entanglement of the polymeric coordination compound [Dy${}_2$Cu${}_2$]${}_n$ through the symmetric spin-1/2 Ising-Heisenberg orthogonal-dimer chain
• Robust quantum entanglement and teleportation in the tetrapartite spin-1/2 square clusters: Theoretical study on the effect of a cyclic four-spin exchange
• Magnetization plateaus and enhanced magnetocaloric effect of a spin-1/2 Ising-Heisenberg and Heisenberg double sawtooth ladder with four-spin interaction
• Ground State, Magnetization Process and Bipartite Quantum Entanglement of a Spin-1/2 Ising-Heisenberg Model on Planar Lattices of Interconnected Trigonal Bipyramids
• Unsaturated bipartite entanglement of a spin-1/2 Ising-Heisenberg model on a triangulated Husimi lattice
• Investigation of entanglement measures across the magnetization process of a highly frustrated spin-1/2 Heisenberg octahedral chain as a new paradigm of the localized-magnon approach
• Spin-1/2 $XX$ chain in a transverse field with regularly alternating $g$-factors: Static and dynamic properties
• Quantum Ising model in a period-2 modulated transverse field

Cited by in corpus (2)

• Molecular Nanomagnet ${\text{Cu}}^{\text{II}}{\text{Ni}}^{\text{II}}{\text{Cu}}^{\text{II}}$ as Resource for Bipartite and Tripartite Quantum Entanglement and Coherence
• Tripartite entanglement in mixed-spin triangle trimmer