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Claude Cohen Tannoudji

Prix Nobel en 1997 pour le ralentissement et le piégeage des atomes par la lumière laser.

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Accueil du site > Séminaires > Autres > Séminaires au LPL : 5D relativistic atom optics and interferometry. Implications for metrology and applications to gravito-inertial sensors.

Séminaires au LPL : 5D relativistic atom optics and interferometry. Implications for metrology and applications to gravito-inertial sensors.

2 séminaires de Christian Bordé les vendredis 19 et 26 octobre 2012 à 14h30, salle D102 au LPL.

The foundations of relativistic 5D-optics for matter waves are presented [1]. This is a natural framework to unify and compare photon and atom optics thanks to formulas valid for arbitrary mass. The ordinary methods of optics (Lagrange invariant, Fermat principle, symplectic algebra and ABCD matrices [2]) are used to solve a relativistic wave equation written in five dimensions. The various phase shifts, which occur in interferometers, including the effect of gravitational waves [3], are then easily derived. The concept of mass and its relationship with proper time in terms of associated dynamical variables and conjugate quantum observables are presented. This leads to a theoretical framework for fundamental metrology through a link between geometry, metric tensor and metrology and to a comparison between clocks and gravito-inertial sensors in a single formula for the quantum phase in General Relativity.

References

[1] Ch. J. Bordé, 5D optics for atomic clocks and gravito-inertial sensors, Eur. Phys. J. Special Topics 163, 315-332 (2008).
[2] Ch. J. Bordé, Propagation of Laser beams and of atomic systems, in Fundamental Systems in Quantum Optics, J. Dalibard, J.-M. Raimond and J. Zinn-Justin eds, Elsevier (1991) p.287-380 ; Theoretical tools for atom optics and interferometry, C. R. Acad. Sci. Paris, t.2, Série IV, 509-530 (2001) ; Atomic clocks and inertial sensors, Metrologia, 39, 435-463 (2002).
[3] Ch.J. Bordé et al., General relativistic framework for atomic interferometry, Int. J. of Mod. Phys.D 3, 157-161 (1994) ; Relativistic phase shifts for Dirac particles interacting with weak gravitational fields in matter-wave interferometers, Springer-Verlag (2001) pp. 403-438 and gr-qc/0008033 ; Quantum theory of atom-wave beam splitters and application to multidimensional atomic gravito-inertial sensors, GRG, 36, 475-502 (2004).


Post-scriptum :

Université Paris 13 - Institut Galilée
Laboratoire de Physique des lasers
Université Paris 13 - Institut Galilée

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