https://doi.org/10.1140/epjd/e2012-30016-6
Regular Article
Quantum tomography in position and momentum space
1 Departamento de Química Física, Universidad del País Vasco UPV/EHU, Apartado 644, 48080 Bilbao, Spain
2 Departamento de Física, Universidad de Santiago de Chile, USACH, Casilla 307 Correo 2 Santiago, Chile
3 Instituto de Física Fundamental, CSIC, Serrano 113-bis, 28006 Madrid, Spain
4 Institut für Quantenoptik und Quanteninformation, Österreichische Akademie der Wissenschaften, Otto-Hittmair-Platz 1, 6020 Innsbruck, Austria
5 Institut für Experimentalphysik, Universität Innsbruck, Technikerstrasse 25, 6020 Innsbruck, Austria
6 IKERBASQUE, Basque Foundation for Science, Alameda Urquijo 36, 48011 Bilbao, Spain
a
e-mail: enriquesolano@ehu.es
Received: 9 January 2012
Received in final form: 2 May 2012
Published online: 30 August 2012
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.
Key words: Quantum Optics
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag 2012
