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Quantum tomography in position and momentum space

  • J. Casanova
  • C. E. López
  • J. J. García-Ripoll
  • C. F. Roos
  • E. Solano
Regular Article

Abstract

We introduce a method of quantum tomography for a continuous variable system in position and momentum space. We consider a single two-level probe interacting with a quantum harmonic oscillator by means of a class of Hamiltonians, linear in position and momentum variables, during a tunable time span. We study two cases: the reconstruction of the wavefunctions of pure states and the direct measurement of the density matrix of mixed states. We show that our method can be applied to several physical systems where high quantum control can be experimentally achieved.

Keywords

Quantum Optics 

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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • J. Casanova
    • 1
  • C. E. López
    • 2
  • J. J. García-Ripoll
    • 3
  • C. F. Roos
    • 4
    • 5
  • E. Solano
    • 1
    • 6
  1. 1.Departamento de Química FísicaUniversidad del País Vasco UPV/EHUBilbaoSpain
  2. 2.Departamento de FísicaUniversidad de Santiago de Chile, USACHSantiagoChile
  3. 3.Instituto de Física FundamentalCSICMadridSpain
  4. 4.Institut für Quantenoptik und QuanteninformationÖsterreichische Akademie der WissenschaftenInnsbruckAustria
  5. 5.Institut für ExperimentalphysikUniversität InnsbruckInnsbruckAustria
  6. 6.IKERBASQUEBasque Foundation for ScienceBilbaoSpain

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