HIGHER-ORDERS OF SQUEEZING, SUB-POISSONIAN STATISTICS AND ANTI-BUNCHING OF DEFORMED PHOTON-ADDED COHERENT STATES

In this paper, we investigate the higher-order nonclassical properties of a particular class of generalized coherent states namely the deformed photon-added nonlinear coherent states (DPACS) A(dagger m) vertical bar alpha, f, m >. To achieve this purpose we pay attention to higher-orders of squeezing (both Hillery- and Hong-Mandel-types), sub-Poissonian statistics and anti-bunching of the mentioned states with a well-known nonlinearity function. It is shown that for enough large values of field intensity (vertical bar alpha vertical bar(2)) for a fixed N (the order of squeezing) by increasing in (the order of excitation) the degree of squeezing evaluated by Hillery and Hong-Mandel approaches increases, while for a chosen fixed value of m, by increasing N for Hillery (Hong-Mandel) type of squeezing the strength of squeezing decreases (increases). Similarly, the degree of higher-order sub-Poissonian statistics (with fixed K) becomes lower when in increases, while (with fixed m) it gets greater values when the order of sub-Poissonian K increases. At last, higher-order anti-bunching of the DPACS is evaluated, by which we established that its (always) negative values increase with increasing m, alpha and l (the order of anti-bunching) individually, i.e. the degree of anti-bunching increases.