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What has CP violation to do with nonlocality?

Spooky action at distance also for neutral kaons?. What has CP violation to do with nonlocality?. by Beatrix C. Hiesmayr Faculty of Physics University of Vienna Austria. What does Particle Physics teach us about QM?. ... a lot!!.

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What has CP violation to do with nonlocality?

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  1. Spooky action at distance also for neutral kaons? What has CP violation to do with nonlocality? by Beatrix C. Hiesmayr Faculty of Physics University of Vienna Austria

  2. Discrete 2008, Beatrix C. Hiesmayr What does Particle Physics teach us about QM? ... a lot!! Is there nonlocality also in high energy systems? Are Bell inequalities violated? Particle physics? Spooky action at distance also for neutral kaons? photons, atoms, single neutrons, ...

  3. The EPR scenario Discrete 2008, Beatrix C. Hiesmayr Antisymmetric Bell state: ... spin 1/2 ... qubit ... photon ... kaon ... B-meson ... single neutron in interferometer

  4. The EPR scenario Discrete 2008, Beatrix C. Hiesmayr 1935: Einstein-Podolsky-Rosen-PARADOX Completeness of the theory: “Every element of the physical reality must have a counterpart in the theory”  Quantum theory is not complete!

  5. Discrete 2008, Beatrix C. Hiesmayr What are Bell inequalities? No spooky action at distance! realism locality free will Local realistic theories: Quantum Mechanics: inequalities for probabilities always satisfied! quantum mechanical probabilities may violate the inequalities! Experiment has to decide!

  6. Generalized Bell inequality for kaons Discrete 2008, Beatrix C. Hiesmayr Bertlmann, Hiesmayr, PRA 63 (2001) What can Alice & Bob measure? Are you in a certain quasispin kn or not? measurement device ta local realistic theories • vary in times • vary in quasi-spin • or both QM:

  7. Discrete 2008, Beatrix C. Hiesmayr !?Nonlocality related to a symmetry violation?! 1964 Bell inequalities CP violation world anti-world

  8. CP violation Discrete 2008, Beatrix C. Hiesmayr Experiment: 1964Christensen, Cronin, Fitch and Turlay CP violation Leptonic charge asymmetry:

  9. Generalized Bell inequality for kaons (I) Discrete 2008, Beatrix C. Hiesmayr I. Vary in quasi-spin: ?! CP violation related to nonlocality !? • Bertlmann, Grimus, Hiesmayr,PRA (2001) • Hiesmayr, Found. of Phys. Lett (2001) Leptonic charge asymmetry:

  10. Generalized Bell inequality for kaons (II) Discrete 2008, Beatrix C. Hiesmayr II. Vary in time: Violation! • Bertlmann, Bramon, Garbarino, Hiesmayr, Phys. Lett. A (2004) • Bertlmann, Hiesmayr, Phys. Rev. A (2001) Kaons? NO violation! PROPOSITION: The CHSH-inequality is violated iff x>2 for kaons or for other mesons x>2.6. Strangeness oscillation/decay: B-mesons: x=0.77 D-meson: x<0.03 Bs-mesons: x>20.6

  11. Bell-CHSH type inequality for kaons Discrete 2008, Beatrix C. Hiesmayr Bell-CHSH type inequality for kaons Is it really not possible to distinguish between local realistic theories and quantum mechanics for neutral kaons in a direct experiment? Bertlmann, Hiesmayr, PRA 63 (2001) Photons: Violation! You have to be more tricky! Kaons? NO violation! • Bertlmann, Bramon, Garbarino, Hiesmayr, Phys. Lett. A (2004) • Bertlmann, Hiesmayr, Phys. Rev. A (2001) PROPOSITION: The CHSH-inequality is violated iff x>2 for kaons or for other mesons x>2.6. Strangeness oscillation/decay: B-mesons: x=0.77 D-meson: x<0.03 Bs-mesons: x>20.6

  12. Bell inequality sensitive to strangeness violated? Discrete 2008, Beatrix C. Hiesmayr Hiesmayr, Eur. Phys. J. C (2007) local realistic theories Can we violate the BI for a certain initial state and if, what is the maximum value? Arbitrary initial state: Expectation value:

  13. Bell inequality sensitive to strangeness violated? Discrete 2008, Beatrix C. Hiesmayr Can we violate the BI for a certain initial state and if, what is the maximum value? Hiesmayr, Eur. Phys. J. C (2007) YES!! The maximal violation is obtained for a non-maximal entangled state A. DiDomenico A. Go

  14. Different view on CP violation (1) Discrete 2008, Beatrix C. Hiesmayr Hiesmayr, Huber Phys. Lett. A (2007) Bohr’s principle of complementarity: Quantum systems possess properties that are equally real but mutually exclusive! wave-particle duality Interferometric duality: The observation of an interference pattern and the adquisition of which-way information are mutually exclusive! predictability= a priori which-way knowledge pure state: equality Greenberger,Yasin (1988); Englert (1996) fringe visibility

  15. Different view on CP violation (2) Discrete 2008, Beatrix C. Hiesmayr Hiesmayr, Huber Phys. Lett. A (2007) predictability= a priori which-way knowledge pure state: equality fringe visibility=interference1 contrast Kaon in time: short-lived state long-lived state Bramon,Garbarino, Hiesmayr, Phys. Rev. (2004) „A kaon is a kind of double slit“ CP violation shifts obtainable information to different aspects of reality!

  16. Summary/Outlook: Discrete 2008, Beatrix C. Hiesmayr • CP violation implies nonlocality • CP violation shifts obtainable information to different aspects of reality • kaons provide a ``dynamical´´ nonlocality • nonlocality and entanglement are different quantum features for quantum particles with more degrees of freedom Hiesmayr, Huber, Spengler; in preparation direct experimental test of BI are highly desired! (open: if non—maximal entangled states can be produced in experiment) Outlook: BI with regenerators: Testable BI for DAPHNE (Frascati,Rom)? A. DiDomenico A. Go

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