Entanglement and Quantum Phases in the Anisotropic Ferromagnetic Heisenberg Chain in the Presence of Domain Walls

Abstract

We discuss entanglement in the spin-1/2 anisotropic ferromagnetic Heisenberg chain in the presence of a boundary magnetic field generating domain walls. By increasing the magnetic field, the model undergoes a first-order quantum phase transition from a ferromagnetic to a kink-type phase, which is associated to a jump in the content of entanglement available in the system. Above the critical point, pairwise entanglement is shown to be non-vanishing and independent of the boundary magnetic field for large chains. Based on this result, we provide an analytical expression for the entanglement between arbitrary spins. Moreover the effects of the quantum domains on the gapless region and for antiferromagnetic anisotropy are numerically analysed. Finally multiparticle entanglement properties are considered, from which we establish a characterization of the critical anisotropy separating the gapless regime from the kink-type phase.

arXiv commentv3: 7 pages, including 4 figures and 1 table. Published version. v2: One section (V) added and references updated

References in corpus (29)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Mixed State Entanglement and Quantum Error Correction
• Entanglement of a Pair of Quantum Bits
• Entanglement in quantum critical phenomena
• Distributed Entanglement
• Quantifying Entanglement
• Scaling of Entanglement close to a Quantum Phase Transitions
• Coupled quantum dots as quantum gates
• Entanglement in a simple quantum phase transition
• Universal Quantum Computation with the Exchange Interaction
• Natural Thermal and Magnetic Entanglement in 1D Heisenberg Model
• Geometric measure of entanglement and applications to bipartite and multipartite quantum states
• Entanglement monotones
• Entanglement in the Quantum Heisenberg XY model
• Global entanglement in multiparticle systems
• Entanglement versus Correlations in Spin Systems
• Entangled Rings
• A subsystem-independent generalization of entanglement
• A potential multipartide entanglement measure
• Thermal concurrence mixing in a 1D Ising model
• Entanglement, quantum phase transition and scaling in XXZ chain
• Effects of anisotropy on thermal entanglement
• Thermal entanglement in three-qubit Heisenberg models
• Entanglement and correlation in anisotropic quantum spin systems
• Macroscopic entanglement jumps in model spin systems
• Entanglement in SU(2)-invariant quantum spin systems
• An entanglement monotone derived from Grover's algorithm
• Boundary and impurity effects on entanglement of Heisenberg chains
• Three and Four-Body Interactions in Spin-Based Quantum Computers

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