Entanglement of finite cyclic chains at factorizing fields

Abstract

We examine the entanglement of cyclic spin 1/2 chains with anisotropic XY Z Heisenberg couplings of arbitrary range at transverse factorizing magnetic fields. At these fields the system exhibits a degenerate symmetry-breaking separable ground state (GS). It is shown, however, that the side limits of the GS pairwise entanglement at these fields are actually non-zero in finite chains, corresponding such fields to a GS spin-parity transition. These limits exhibit universal properties like being independent of the pair separation and interaction range, and are directly related to the magnetization jump. Illustrative exact results are shown for chains with I) full range and II) nearest neighbor couplings. Global entanglement properties at such points are also discussed.

5 pages, 4 figures

References in corpus (17)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Three qubits can be entangled in two inequivalent ways
• Entanglement of a Pair of Quantum Bits
• Entanglement in quantum critical phenomena
• Distributed Entanglement
• Entanglement in a simple quantum phase transition
• General Monogamy Inequality for Bipartite Qubit Entanglement
• Continuous unitary transformations and finite-size scaling exponents in the Lipkin-Meshkov-Glick model
• I-concurrence and tangle for isotropic states
• Studying quantum spin systems through entanglement estimators
• Entangled webs: Tight bound for symmetric sharing of entanglement
• Entanglement molecules
• Entanglement and factorized ground states in two-dimensional quantum antiferromagnets
• Divergence of the entanglement range in low dimensional quantum systems
• Two-spin entanglement distribution near factorized states
• Entanglement between distant qubits in cyclic XX chains
• Description of thermal entanglement with the static path plus random-phase approximation

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