Entanglement, Bell Inequalities and Decoherence in Particle Physics

Details Entanglement, Bell Inequalities and Decoherence in Particle Physics Entanglement, Bell Inequalities and Decoherence in Particle Physics

2004-10-04

arxiv.org/abs/quant-ph/0410028v2

Lect.Notes Phys. 689 (2006) 1-45

Physics

Quantum Physics

Lectures given at Quantum Coherence in Matter: from Quarks to Solids, 42. Internationale Universit\"atswochen f\"ur Theoretisc

Scientific paper

10.1007/11398448_1

We demonstrate the relevance of entanglement, Bell inequalities and decoherence in particle physics. In particular, we study in detail the features of the ``strange'' $K^0 \bar K^0$ system as an example of entangled meson--antimeson systems. The analogies and differences to entangled spin--1/2 or photon systems are worked, the effects of a unitary time evolution of the meson system is demonstrated explicitly. After an introduction we present several types of Bell inequalities and show a remarkable connection to CP violation. We investigate the stability of entangled quantum systems pursuing the question how possible decoherence might arise due to the interaction of the system with its ``environment''. The decoherence is strikingly connected to the entanglement loss of common entanglement measures. Finally, some outlook of the field is presented.

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