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Physics Letters A

Photon statistics and phase properties of two-mode squeezed number states

Alexei Vladimirovich Chizhov, B. K. Murzakhmetov

Published May 1, 1993• 25 citations
Publisher
DOI
10.1016/0375-9601(93)90312-n

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Photon statistics and phase properties of two-mode squeezed number states are studied. It is shown that photon number distribution and Pegg-Barnett phase distribution for such states have similar (N + 1)-peak structure for nonzero value of the difference in the number of photons between modes. Exact analytical formulas for phase distributions based on different phase approaches are derived. The Pegg-Barnett phase distribution and the phase quasiprobability distribution associated with the Wigner function are close to each other, while the phase quasiprobability distribution associated with the Q function carries less phase information.
On the basis of singlemode superposition states, we study further the twomode superposition stats. The squeezing and quantum statistical properties in different twomode superposition states have been studied. The influences of the number photon, number difference, coefficients in the states and their relative phase on these nonclassical properties have been discussed. Finally, the squeezing in the twomode superposition states is compared with that in the singlemode ones. The results indicate that both in twomode singlephoton and twomode twophoton superposition states exists sum squeezing, however, only twomode singlephoton superposition states have normal squeezing.
We investigate photon statistical properties of the multiple-photon-added two-mode squeezed coherent states (PA-TMSCS). We find that the photon statistical properties are sensitive to the compound phase involved in the TMSCS. Our numerical analyses show that the photon addition can enhance the cross-correlation and anti-bunching effects of the PA-TMSCS. Compared with that of the TMSCS, the photon number distribution of the PA-TMSCS is modulated by a factor that is a monotonically increasing function of the numbers of adding photons to each mode; further, that the photon addition essentially shifts the photon number distribution.