Bm. Garraway et al., GENERATION AND DETECTION OF NONCLASSICAL FIELD STATES BY CONDITIONAL MEASUREMENTS FOLLOWING 2-PHOTON RESONANT INTERACTIONS, Physical review. A, 49(1), 1994, pp. 535-547
A simple scheme is presented that allows the generation and detection
of nonclassical states of the electromagnetic (em) field with controll
able (predetermined) photon-number and phase distributions. It is base
d on the two-photon resonant interaction of a single em field mode in
a high-e cavity with initially excited atoms crossing the cavity seque
ntially (one at a time). The sequence duration should be much shorter
than the cavity-mode lifetime. Nonclassical states of the field are ge
nerated conditionally, by selecting only those sequences wherein each
atom is measured to be in the excited state after the interaction. The
field distribution resulting from a sequence of N such measurements i
s peaked about 2N positions in the phase plane, which evolve:sinusoida
lly as a function of the atomic transit times and are therefore simply
controlled. When these peaks are chosen not to overlap, the field sta
te constitutes a generalized Schrodinger cat. By choosing them to over
lap, we can make parts of the field distribution strongly interfere, g
iving rise to decimation of the photon-number distribution. In particu
lar, this process can prepare Pock states with controlled photon numbe
rs. The generated phase distribution can be detected by monitoring the
pattern of revivals in the excitation of a ''probe'' atom.