The possibilities of applying tomographic techniques to a Bose–Einstein condensate to reconstruct its ground state are investigated by means of numerical simulations. Two situations for which the density-matrix elements can be retrieved from atom counting probabilities are considered. The methods presented here allow one to distinguish among various possible quantum states.
© 2000 Optical Society of America
(270.0270) Quantum optics : Quantum optics
Original Manuscript: March 9, 2000
Revised Manuscript: September 12, 2000
Manuscript Accepted: September 12, 2000
Published: December 1, 2000
Stefano Mancini, Mauro Fortunato, Paolo Tombesi, and Giacomo Mauro D’Ariano, "Toward a tomographic picture of a Bose–Einstein condensate," J. Opt. Soc. Am. A 17, 2529-2535 (2000)