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Reconstruction of the two-mode vibronic quantum state of a trapped atom

  • S. Wallentowitz
  • R.L. de Matos Filho
  • S.-C. Gou
  • W. Vogel

Abstract:

We present a method for the direct measurement of the Wigner-function matrix for complex vibronic states of a trapped atom, that is suited to analyse the entanglement between two motional degrees of freedom and the internal electronic dynamics. It is a generalisation of the method for the determination of vibronic quantum states [S. Wallentowitz, R.L. de Matos Filho, W. Vogel, Phys. Rev. A 56, 1205 (1997)] in conjunction with the scheme for the direct observation of the Wigner function of a single motional degree of freedom [L.G. Lutterbach, L. Davidovich, Phys. Rev. Lett. 78, 2547 (1997)]. The major advantage of the present method is that it reduces the experimental efforts substantially. On the other hand, it is demonstrated that the nonlinear vibronic coupling necessary for this method turns out to be its main limitation.

PACS. 03.65.Bz Foundations, theory of measurement, miscellaneous theories (including Aharonov-Bohm effect, Bell inequalities, Berry's phase) - 42.50.Vk Mechanical effects of light on atoms, molecules, electrons, and ions - 32.80.Pj Optical cooling of atoms; trapping 

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Copyright information

© EDP Sciences, Springer-Verlag 1999

Authors and Affiliations

  • S. Wallentowitz
    • 1
  • R.L. de Matos Filho
    • 2
  • S.-C. Gou
    • 3
  • W. Vogel
    • 1
  1. 1.Arbeitsgruppe Quantenoptik, Fachbereich Physik, Universität Rostock, Universitätsplatz 3, 18051 Rostock, GermanyDE
  2. 2.Instituto de Fisica, Universidade Federal do Rio de Janeiro, Caixa Postal 68528, 21945-970 Rio de Janeiro, RJ, BrasilBR
  3. 3.Department of Physics, National Changhua University of Education, Changhua 50058, TaiwanTW

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