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Quantum Mechanics with Neutral Kaons

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 Added by Garbarino Gianni
 Publication date 2007
  fields Physics
and research's language is English




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We briefly illustrate a few tests of quantum mechanics which can be performed with entangled neutral kaon pairs at a Phi-factory. This includes a quantitative formulation of Bohrs complementarity principle, the quantum eraser phenomenon and various forms of Bell inequalities.



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Quantum marking and quantum erasure are discussed for the neutral kaon system. Contrary to other two-level systems, strangeness and lifetime of a neutral kaon state can be alternatively measured via an active or a passive procedure. This offers new quantum erasure possibilities. In particular, the operation of a quantum eraser in the delayed choice mode is clearly illustrated.
Neutral kaons produced in the correlated pairs at the DAFNE phi-factory offer unique possibilities to perform fundamental tests of CPT invariance, as well as of the basic principles of quantum mechanics. The analysis of the data collected by the KLOE experiment allows to improve results on several parameters describing CPT violation and decoherence and to measure the regeneration cross section on the beam pipe materials.
Entangled K0 anti-K0 pairs are shown to be suitable to discuss extensions and tests of Bohrs complementarity principle through the quantum marking and quantum erasure techniques suggested by M. O. Scully and K. Druehl [Phys. Rev. A 25, 2208 (1982)]. Strangeness oscillations play the role of the traditional interference pattern linked to wave-like behaviour, whereas the distinct propagation in free space of the K_S and K_L components mimics the two possible interferometric paths taken by particle-like objects.
Quantum marking and quantum erasure are discussed for the neutral kaon system. Contrary to other two-level systems, strangeness and lifetime of a neutral kaon state can be alternatively measured via an active or a passive procedure. This offers new quantum erasure possibilities. In particular, the operation of a quantum eraser in the delayed choice mode is clearly illustrated.
In this paper we present a novel CPT symmetry test in the neutral kaon system based, for the first time, on the direct comparison of the probabilities of a transition and its CPT reverse. The required interchange of in $leftrightarrow$ out states for a given process is obtained exploiting the Einstein-Podolsky-Rosen correlations of neutral kaon pairs produced at a $phi$-factory. The observable quantities have been constructed by selecting the two semileptonic decays for flavour tag, the $pipi$ and $3pi^0$ decays for CP tag and the time orderings of the decay pairs. The interpretation in terms of the standard Weisskopf-Wigner approach to this system, directly connects CPT violation in these observables to the violating $Redelta$ parameter in the mass matrix of $K^0$-$bar{K^0}$, a genuine CPT violating effect independent of $Delta Gamma$ and not requiring the decay as an essential ingredient. Possible spurious effects induced by CP violation in the decay and/or a violation of the $Delta S= Delta Q$ rule have been shown to be well under control. The proposed test is thus fully robust, and might shed light on possible new CPT violating mechanisms, or further improve the precision of the present experimental limits. It could be implemented at the DA$Phi$NE facility in Frascati, where the KLOE-2 experiment might reach a statistical sensitivity of $mathcal{O}(10^{-3})$ on the newly proposed observable quantities.
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