Stuttgart 2012 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 2: Quanteninformation: Konzepte und Methoden 1
Q 2.4: Talk
Monday, March 12, 2012, 11:15–11:30, V7.03
Scaling of genuine multipartite entanglement in one dimensional spin chains — •Martin Hofmann and Otfried Gühne — Naturwissenschaftlich-Technische Fakultät, Walter-Flex-Straße 3, Universität Siegen
The study of entanglement in quantum phase transitions can help towards a general understanding of spin models. Especially one dimensional spin chains proved to be suitable to obtain analytic results. In Ref. [1] the scaling of two-qubit entanglement close to a quantum phase transition is investigated.
We extend their work from the investigation of bipartite entanglement to the phenomenon of genuine multipartite entanglement in three-particle reduced states. In order to quantify the entanglement we used the computable entanglement monotone for multi-particle entanglement arising from the approach of PPT mixtures [2]. Interestingly the genuine multipartite entanglement showed a similar scaling behaviour as the bipartite entanglement in Ref. [1].
[1] A. Osterloh et al., Nature 416, 608-610 (2002).
[2] B. Jungnitsch et al., Phys. Rev. Lett. 106, 190502 (2011)