A proposal to test Bell’s inequalities with mesoscopic non-local states in cavity QED

  • P. Milman
  • A. Auffeves
  • F. Yamaguchi
  • M. Brune
  • J. M. RaimondEmail author
  • S. Haroche
Entanglement and Non-Locality


We propose a cavity quantum electrodynamics (CQED) experiment to test the violation of a Bell-type inequality using non-local mesoscopic states (NLMS). These states involve coherent field superpositions stored in two spatially-separated high-Q cavities. The inequality is expressed in terms of the measured Wigner function of the entangled two-field-mode system at four points in phase space, as proposed in [Banaszek and Wódkiewicz, Phys. Rev. Lett. 82, 2009 (1999)]. We examine the production of these entangled NLMS and the measurement of their Wigner function. The experiment involves circular Rydberg atoms and superconducting millimeter-wave cavities. We present a detailed numerical study of the optimal inequality violation and of the effect of decoherence. We discuss the range of experimental parameters making it possible to observe a locality violation and show that they correspond to realistic, albeit demanding, conditions.


Phase Space Experimental Parameter Quantum Computing Wigner Function Quantum Electrodynamic 
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Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2004

Authors and Affiliations

  • P. Milman
    • 1
  • A. Auffeves
    • 1
  • F. Yamaguchi
    • 2
  • M. Brune
    • 1
  • J. M. Raimond
    • 1
    Email author
  • S. Haroche
    • 1
    • 3
  1. 1.Laboratoire Kastler BrosselParis Cedex 05France
  2. 2.Edward L. Ginzton Laboratory, Stanford UniversityStanfordUSA
  3. 3.Collège de France, 11 place Marcelin-BerthelotParisFrance

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