Thermal entanglement of spins in the Heisenberg model at low temperatures

Abstract

We calculate the entanglement between two spins in the ferromagnetic Heisenberg chain at low temperatures, and show that when only the ground state and the one particle states are populated, the entanglement profile is a gaussian with a characteristic length depending on the temperature and the coupling between spins. The magnetic field only affects the amplitude of the profile and not its characteristic length.

17 pages, RevTex, no figures, revised with references added

References in corpus (8)

• Scaling of Entanglement close to a Quantum Phase Transitions
• Entanglement in the Quantum Heisenberg XY model
• Dynamics of Entanglement in One-Dimensional Spin Systems
• Thermal concurrence mixing in a 1D Ising model
• Quantum entanglement and Bell inequalities in Heisenberg spin chains
• Effects of anisotropy on thermal entanglement
• Impurity Scattering Induced Entanglement of Ballistic Electrons
• Third-neighbor and other four-point correlation functions of spin-1/2 XXZ chain

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• Description of thermal entanglement with the static path plus random-phase approximation
• Thermodynamic Entanglement of Magnonic Condensates
• Thermal entanglement of spins in mean-field clusters
• Realization of Heisenberg models of spin systems with polar molecules in pendular states
• Application of entanglement conditions to spin systems
• Exact symmetry breaking ground states for quantum spin chains
• Ground State, Magnetization Process and Bipartite Quantum Entanglement of a Spin-1/2 Ising-Heisenberg Model on Planar Lattices of Interconnected Trigonal Bipyramids
• A Chain-Boson Model for the Decoherence and Relaxation of a Few Coupled SQUIDs in a Phonon Bath
• Entanglement of bosonic modes in symmetric graphs
• Distribution of entanglement with variable range interactions