Least-squares inversion for density-matrix reconstruction

T. Opatrný, D.-G. Welsch, and W. Vogel
Phys. Rev. A 56, 1788 – Published 1 September 1997
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Abstract

We propose a method for reconstruction of the density matrix from measurable time-dependent (probability) distributions of physical quantities. The applicability of the method based on least-squares inversion is—compared with other methods—very universal. It can be used to reconstruct quantum states of various systems, such as harmonic and anharmonic oscillators including molecular vibrations in vibronic transitions and damped motion. It also enables one to take into account various specific features of experiments, such as limited sets of data and data smearing owing to limited resolution. To illustrate the method, we consider a Morse oscillator and give a comparison with other state-reconstruction methods suggested recently.

  • Received 10 March 1997

DOI:https://doi.org/10.1103/PhysRevA.56.1788

©1997 American Physical Society

Authors & Affiliations

T. Opatrný and D.-G. Welsch

  • Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, D-07743 Jena, Germany

W. Vogel

  • Fachbereich Physik, Arbeitsgruppe Quantenoptik, Universität Rostock, Universitätsplatz 3, D-18051 Rostock, Germany

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Vol. 56, Iss. 3 — September 1997

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