Separability conditions and limit temperatures for entanglement detection in two qubit Heisenberg XYZ models

Abstract

We examine the entanglement of general mixed states of a two qubit Heisenberg XYZ chain in the presence of a magnetic field, and its detection by means of different criteria. Both the exact separability conditions and the weaker conditions implied by the disorder and the von Neumann entropic criteria are analyzed. The ensuing limit temperatures for entanglement in thermal states of different XYZ models are then examined and compared with the limit temperature of the symmetry-breaking solution in a mean field type approximation. The latter, though generally lower, can also be higher than the exact limit temperature for entanglement in certain cases, indicating that symmetry-breaking does not necessarily entail entanglement. The reentry of entanglement for increasing temperatures is also discussed.

arXiv comment7 pages, 4 figures

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• The effect of spin-orbit interaction on entanglement of two-qubit Heisenberg XYZ systems in an inhomogeneous magnetic field
• Global entanglement in XXZ chains
• Global thermal entanglement in n-qubit systems
• Entanglement in a two-qubit Heisenberg XXX chain with x-components of Dzyaloshinskii-Moriya and Kaplan-Shekhtman-Entin-Wohlman-Aharony interactions
• Entanglement between distant qubits in cyclic XX chains
• Description of thermal entanglement with the static path plus random-phase approximation
• Thermal entanglement of spins in mean-field clusters
• The Entanglement in Anisotropic Heisenberg XYZ Chain with inhomogeneous magnetic field
• Entanglement and coherence in a spin-s XXZ system under non-uniform fields
• Squeezed Dirac and Topological Magnons in a Bosonic Honeycomb Optical Lattice
• Distribution of entanglement with variable range interactions
• Entanglement in a fermionic spin chain containing a single mobile boson under decoherence