Threetangle in the XY-model class with a non-integrable field background

Abstract

The square root of the threetangle is calculated for the transverse XY-model with an integrability-breaking in-plane field component. To be in a regime of quasi-solvability of the convex roof, here we concentrate here on a 4-site model Hamiltonian. In general, the field and hence a mixing of the odd/even sectors, has a detrimental effect on the threetangle, as expected. Only in a particular spot of models with no or weak inhomogeneity $\gamma$ does a finite value of the tangle prevail in a broad maximum region of the field strength $h\approx 0.3\pm 0.1$. There, the threetangle is basically independent of the non-zero angle $\alpha$. This system could be experimentally used as a quasi-pure source of threetangled states or as an entanglement triggered switch depending on the experimental error in the field orientation.

11 pages, 9 figures, figures added, text slightly modified, submitted for publication

References in corpus (16)

• Quantum Computing
• Entanglement detection
• Multi-party entanglement in graph states
• High-dimensional quantum communication: benefits, progress, and future challenges
• Quantum Metrology for Gravitational Wave Astronomy
• Detecting Genuine Multipartite Entanglement with Two Local Measurements
• Taming multiparticle entanglement
• Constructing N-qubit entanglement monotones from anti-linear operators
• Entangled three-qubit states without concurrence and three-tangle
• Hierarchies of Geometric Entanglement
• Witnessing genuine multipartite entanglement with positive maps
• Three-tangle for mixtures of generalized GHZ and generalized W states
• On polynomial invariants of several qubits
• Tangles of superpositions and the convex-roof extension
• Exact zeros of entanglement for arbitrary rank-two mixtures: how a geometric view of the zero-polytope makes life more easy
• High-dimentional Multipartite Entanglement Structure Detection with Low Cost