Inverted spectroscopy and interferometry for quantum-state reconstruction of systems with SU(2) symmetry

Physics – Quantum Physics

Scientific paper

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8 pages, REVTeX. More info on http://www.ligo.caltech.edu/~cbrif/science.html

Scientific paper

10.1088/1464-4266/2/3/305

We consider how the conventional spectroscopic and interferometric schemes can be rearranged to serve for reconstructing quantum states of physical systems possessing SU(2) symmetry. The discussed systems include a collection of two-level atoms, a two-mode quantized radiation field with a fixed total number of photons, and a single laser-cooled ion in a two-dimensional harmonic trap with a fixed total number of vibrational quanta. In the proposed rearrangement, the standard spectroscopic and interferometric experiments are inverted. Usually one measures an unknown frequency or phase shift using a system prepared in a known quantum state. Our aim is just the inverse one, i.e., to use a well-calibrated apparatus with known transformation parameters to measure unknown quantum states.

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