Measuring the multiparticle state of a two-mode Bose-Einstein condensate

Summary form only given. Much recent interest in the new dilute alkali Bose-Einstein condensate sytems from the idea that the multiparticle state may be highly squeezed due to collisions. The internal states of the atoms can serve as a probe of this squeezing. Motivated by the success of homodyne tomography in measuring the quantum state of light, we propose to obtain the complete density matrix of a two-mode condensate from repeated atom-counting measurements.