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Physica A Statistical Mechanics and its Applications

Noncoherent states having Poissonian statistics

CELIA M. A. DANTAS, B. Baseia

Published Mar 1, 1999• 7 citations
Publisher
DOI
10.1016/s0378-4371(98)00537-8

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A mode of quantic detection for noncoherent optical radiation as noise limit is presented. Using the representation on coherent state of density matrix operators ((rho) ) and of detection operators ((pi) ), the detection probability (Qd), false alarm probability (Qo) and signal-noise ratio (S/Z), are estimated, as function of the number of freedom degrees of temporal oscillation modes (Mt) and of the spatial oscillation modes (Ms). A validation algorithm of statistical hypotheses, resulted from noncoherent optical field analysis, is made using Newman-Pearson criterion.
The sub-poissonian photon statistical character of the excited k-boson q-coherent states a~(+m)_q|z,k,j_q(k≥3) is numerically studied.It is shown that the sub-poissonian photon statistical character is evidently dependent on m.When j = 0,the excited states(m≠0) can exhibit the sub-poissonian photon statistical character,but the unexcited states(m=0) cannot.When j≠0,both the excited states and the unexcited states can exhibit sub-poissonian photon statistical character.The sub-poissonian photon statistical character only appears in small x(x=|z|~2),which differs from the antibunching effect.
We study the statistical properties of squeezed Kerr states generated by squeezing, with a two-photon parametric process, the output of a Kerr medium whose input is coherent light. The squeezing has the effect of allowing the photon statistics to depend on the Kerr nonlinearity. Without the squeezing the statistics are Poissonian, but after squeezing they may be either sub-Poissonian or super-Poissonian. We also study the Q-function quasiprobability distribution for these states and related distributions associated with the quantum-mechanical phase. Finally, we show that quadrature squeezing can be enhanced and that squeezing and sub-Poissonian statistics can coexist.