Multipartite entanglement in spin chains

By O. Guehne, Géza Tóth, Hans J. Briegel. 2005

182 citations recorded by the source corpus.

We investigate the presence of multipartite entanglement in macroscopic spin chains. We discuss the Heisenberg and the XY model and derive bounds on the internal energy for systems without multipartite entanglement. Based on this we show that in thermal equilibrium the above-mentioned spin systems contain genuine multipartite entanglement, even at finite modest temperatures.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/85a66b3776beed565ad3b3035756a24ee57defe2

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In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

In Statistical and Nonlinear Physics

Citations in the corpus

Entanglement certification from theory to experiment (2018, background): “[212] Otfried Gühne, Géza Tóth, and Hans J.”
Entanglement detection (2008, methodology): “(53)] one can ask whether multipartite entanglement is necessary to form a given state [190,192,193].”
The role of quantum information in thermodynamics—a topical review (2015, background): “The known results and open questions of this interplay including [159–166] are also discussed in the review [36].”
Quantum metrology with nonclassical states of atomic ensembles (2016, unknown): “A mixed state is k-separable if it can be written as a mixture of k-separable pure states (Gühne et al., 2005) ρ̂k-sep = ∑ q pq|ψk-sep,q〉〈ψk-sep,q|.”
Multiboundary wormholes and holographic entanglement (2014, unknown): “A state ψ〉 ∈ ⊗ = B | x n x 1 is said to be kproducible [58] if there exist Hilbert spaces Bx K and isometries → ⊗ ∈ U B B : x x K x k [ ] such that Class.”
Entanglement in many-body systems (2007, methodology): “Finally we mention the approach pursued in (Gühne et al., 2005) (see also Sharma and Sharma, 2006) where different bounds on the average energy of a given system were obtained for different types of n-particle quantum correlated states.”