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arXiv:hep-ph/0311232

Quantitative duality and quantum erasure for neutral kaons

A. Bramòn, Gianni Garbarino, Beatrix C. Hiesmayr

Published Nov 19, 2003• 0 citations
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Abstract

The aim of this contribution is to illustrate two basic aspects of quantum mechanics applied to the neutral kaon system. We first describe a recent quantitative formulation of Bohr's complementarity principle for free--space evolution of single kaons and entangled kaon pairs. We then show that the neutral kaon system is also suitable for an optimal demonstration of the ``quantum eraser'', including its operation in the ``delayed choice'' mode. In our discussions, strangeness oscillations play the role of the traditional interference pattern linked to wave--like behaviour. The role of the two interferometric paths taken by particle--like objects is played by the differently propagating $K_S$ and $K_L$ components. Their distinct decay widths provide a quantum ``mark'' which can be erased by appropriate strangeness measurements.

DOI
10.48550/arxiv.hep-ph/0311232

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The aim of this contribution is to illustrate two basic aspects of quantum mechanics applied to the neutral kaon system. We first describe a recent quantitative formulation of Bohr's complementarity principle for free--space evolution of single kaons and entangled kaon pairs. We then show that the neutral kaon system is also suitable for an optimal demonstration of the quantum eraser'', including its operation in the delayed choice'' mode. In our discussions, strangeness oscillations play the role of the traditional interference pattern linked to wave--like behaviour. The role of the two interferometric paths taken by particle--like objects is played by the differently propagating KSK_SKS​ and KLK_LKL​ components. Their distinct decay widths provide a quantum ``mark'' which can be erased by appropriate strangeness measurements.
The neutral kaon system is shown to be suitable to discuss extensions and tests of Bohr's complementarity principle through the quantum marking and quantum erasure techniques suggested by Scully and Drühl [Phys. Rev. A 25, 2208 (1982)]]. Strangeness oscillations play the role of the traditional interference pattern linked to wavelike behavior, whereas the different propagation in free space of the K(S) and K(L) components mimics the two possible interferometric paths taken by particlelike objects.
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Neutral kaons are unique quantum systems to show some of the most puzzling peculiarities of quantum mechanics. Here we focus on a quantitative version of Bohr's complementary principle and on quantum marking and eraser concepts. In detail we show that neutral kaons (1) are kind of double slit devices encapsulating Bohr's complementarity principle in a simple and transparent way, and (2) offer marking and eraser options which are not afforded by other quantum systems and which can be performed at the DAPHNE machine.