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.