PHOTON STATISTICS AND PHASE PROPERTIES OF 2-MODE SQUEEZED NUMBER STATES

Two-mode squeezed number states are defined. These states can be treat ed as a natural generalization of a two-mode squeeze vacuum state. The photon number statistics and the phase properties of these states are investigated. It is shown that the photon number distribution and the Pegg-Barnett phase distribution for such states have a similar (N + 1 )-peak structure for a nonzero value of the difference in the numbers of photons between the modes. Exact analytical formulas for phase dist ributions based on different phase approaches are derived. The Pegg-Ba rnett phase distribution and the phase quasiprobability distribution a ssociated with the Wigner function are close to each other, while the phase quasiprobability distribution associated with the Q function car ries less phase information. Analytical expressions for the Q function and the Wigner function for the two-mode squeezed number states are o btained.