Heidelberg 2015 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 2: Quantum Effects: Entanglement and Decoherence I

Q 2.4: Talk

Monday, March 23, 2015, 12:15–12:30, B/gHS

Entanglement in systems of decaying particles — •Marius Paraschiv, Otfried Gühne, and Thomas Mannel — Universität Siegen, Deutschland

The study of entanglement within systems of decaying particles started in the 1960s, when Lee and Yang (among others) showed the EPR-like properties of the neutral kaon system, where the strangeness number played the role of spin up or spin down, from the traditional spin 1/2 case. Since then, neutral kaons have been investigated by many authors. Our aim is to create a general formalism for a decaying system. Staying true to the above-mentioned kaons, the initial 3-level model retains the oscillating nature of the probabilities for the two excited levels, while a third one acts as a ground state. In order to achieve a greater degree of universality, the model is formulated in an effective operator formalism, as derived in [1]. This model is then tested against the CHSH inequality, in order to verify a possible violation, but also the Sliwa-Collins-Gisin inequality is considered, a three-setting inequality not equivalent to the CHSH. The study of entanglement within this formalism is also motivated by the application of various types of Bell inequalities to atomic systems, where only one level can be detected.

[1] A. Di Domenico et al. : Foundations of Physics 42 (6), 778 (2012), arXiv:1101.4517