CORRELATIONS OF DECAY TIMES OF ENTANGLED COMPOSITE UNSTABLE SYSTEMS

The role played by time in the quantum theory is still mysterious by many aspects. In particular it is not clear today whether the distribution of decay times of unstable particles could be described by a time operator (TO). As we shall discuss, different approaches to this problem (one could say interpretations) can be found in the literature on the subject. As we shall show, it is possible to conceive crucial experiments aimed at distinguishing the different approaches, by measuring with accuracy the statistical distribution of decay times of entangled particles. Such experiments can be realized in principle with entangled kaon pairs.

[1]  B. Hiesmayr,et al.  Bell inequalities for entangled kaons and their unitary time evolution , 2001, hep-ph/0101356.

[2]  J. Cushing.  Quantum tunneling times: A crucial test for the causal program? , 1995 .

[3]  M. S. Zubairy,et al.  Quantum optics: Frontmatter , 1997 .

[4]  Mann,et al.  Maximal violation of Bell inequalities for mixed states. , 1992, Physical review letters.

[5]  A. Zeilinger,et al.  Speakable and Unspeakable in Quantum Mechanics , 1989 .

[6]  Maurice Courbage,et al.  Quantum-mechanical decay laws in the neutral kaons , 2007 .

[7]  B. C. Hiesmayr,et al.  Active and passive quantum erasers for neutral kaons , 2004 .

[8]  Walter Pötz,et al.  Quantum coherence : from quarks to solids , 2006 .

[9]  T. Durt.  Crucial tests of the existence of a Time Operator , 2010, 1003.2781.

[10]  G. Chiefari,et al.  First observation of quantum interference in the process phi -> KSKL -> pi(+)pi(-)pi(+)pi(-): A test of quantum mechanics and C P T symmetry , 2006, hep-ex/0607027.

[11]  Paul Adrien Maurice Dirac,et al.  Lectures on Quantum Mechanics , 2001 .

[12]  D. Perkins.  Introduction to high energy physics , 1973 .

[13]  S. Hou,et al.  Measurement of Einstein-Podolsky-Rosen-Type Flavor Entanglement in {upsilon}(4S){yields}B{sup 0}B{sup 0} Decays , 2007 .

[14]  A. Domenico,et al.  Revealing Bell’s nonlocality for unstable systems in high energy physics , 2011, 1111.4797.

[15]  M. Redhead.  Quantum theory and measurement , 1984 .

[16]  M. Courbage,et al.  Time decay probability distribution of the neutral meson system and CP-violation , 2012 .

[17]  Jan Hilgevoord,et al.  Time in quantum mechanics , 2002 .

[18]  M. Courbage,et al.  A New formalism for the estimation of the CP-violation parameters , 2009, 0907.2514.

[19]  Maurice Courbage,et al.  On necessary and sufficient conditions for the existence of time and entropy operators in quantum mechanics , 1980 .

[20]  B. Hiesmayr,et al.  Violation of a Bell inequality in particle physics experimentally verified , 2004, quant-ph/0409051.

[21]  J. Bell,et al.  Speakable and Unspeakable in Quatum Mechanics , 1988 .

[22]  Albert Einstein,et al.  Can Quantum-Mechanical Description of Physical Reality Be Considered Complete? , 1935 .

[23]  E. Wigner,et al.  Berechnung der natürlichen Linienbreite auf Grund der Diracschen Lichttheorie , 1930 .

[24]  T. Durt,et al.  QUEST FOR THE TIME OPERATOR WITH A SINGLE TRAPPED ION , 2011 .