Completeness and Nonclassicality of Coherent States for Generalized Oscillator Algebras

Figure 5

Using the input signal , with , the nonlinear coherent state (34), and , the probability of detecting and photons at the horizontal and vertical output ports of a beam splitter is shown in (a) and (b). Some of the corresponding level curves are depicted in (c). The average photon number is defined in (35) as a function of . Compare with Figure 3.

(a)

(b)

(c)