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5D relativistic optics for matter and antimatter interferometry .

5D relativistic optics for matter and antimatter interferometry. Christian J. Bordé LPL & SYRTE. http://christian.j.borde.free.fr. OUTLINE OF THE LECTURE Introduction to atom interferometry with labelled internal states Application to hydrogen

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5D relativistic optics for matter and antimatter interferometry .

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  1. 5D relativistic optics for matter and antimatter interferometry. Christian J. Bordé LPL& SYRTE http://christian.j.borde.free.fr

  2. OUTLINE OF THE LECTURE • Introduction to atominterferometrywithlabelledinternal states • Application to hydrogen • 5D Relativisticatom/antiatominterferometry • Theory of gravimeters and clocks and test of the EEP http://christian.j.borde.free.fr/

  3. Ch. J. Bordé, Atomic clocks and inertial sensors [65] T. J. Phillips (1997)

  4. Laser beams b a Atoms π/2 Pulses

  5. Laser beams b a Atoms π/2 Pulses

  6. Bordé-Ramsey interferometers Laser beams Atom beam

  7. MOLECULAR INTERFEROMETRY SF6 1981

  8. First atom-wave gyro: Riehle et al. 1991

  9. Aharonov-Casher phase shift

  10. From Laser Spectroscopy X, 1991

  11. Laser Spectroscopy XI 1993

  12. BORDÉ-RAMSEY INTERFEROMETERS

  13. Altitude a b b a a a b b b b a a a a g b b b a a b Time Multiple wave interferometer

  14. Altitude a b b a a a b b b b a a a a g b b b a a b Time Multiple wave interferometer

  15. Royal Society E(p) ENERGY Mass 1905 p • MOMENTUM

  16. E mc p

  17. b E(p) a mbc2 mac2 p//

  18. Generalization in the presence of interactions

  19. Generalization in the presence of interactions

  20. 5D OPTICAL PATH

  21. GENERAL FORMULA FOR THE PHASE SHIFT OF AN ATOM/PHOTON INTERFEROMETER

  22. Bordé-Ramsey interferometers Laser beams Atom beam

  23. Bordé-Ramsey interferometers Laser beams Atom beam

  24. Exact phase shift for the atom gravimeter which can be written to first-order in g, with T=T’: Reference: Ch. J. B., Theoretical tools for atom optics and interferometry, C.R. Acad. Sci. Paris, 2, Série IV, p. 509-530, 2001

  25. Conclusions 5D theoretical framework well-adapted to matter/antimatter interferometry Unified treatment of clocks and gravito-inertial sensors Single formula for the various contributions to the phase shifts including effects involving the electric charge and dipole moments: scalar and vector AB effect, AC and HMW shifts leading to a complete test of charge conjugation This framework has required an explicit introduction of mass and proper time as associated dynamical variables and conjugate quantum mechanical observables Related controversial matters: gravitational red shift of de Broglie-Compton clocks, clocks versus anticlocks …

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