On a family of photon-added deformed coherent states associated with two-parameter deformed boson oscillator algebra

摘要

By introducing a generalization of the (p, q)-deformed boson oscillator algebra, we establish a two-parameter deformed oscillator algebra in an infinite-dimensional subspace of the Hilbert space of a harmonic oscillator without first finite Fock states. We construct the associated coherent states, which can be interpreted as photon-added deformed states. In addition to the mathematical characteristics, the quantum statistical properties of these states are discussed in detail analytically and numerically in the context of conventional as well as deformed quantum optics. Particularly, we find that for conventional (nondeformed) photons the states may be quadrature squeezed in both cases Q = pq 1 and their photon number statistics exhibits a transition from sub-Poissonian to super-Poissonian for Q 1 they are always sub-Poissonian. On the other hand, for deformed photons, the states are sub-Poissonian for Q > 1 and no quadrature squeezing occurs while for Q 1 et aucune compression quadratique n'apparaît, alors que pour Q < 1, ils ont un comportement super-Poisson et il y a compression simultanée dans les deux quadratures de champ.[Traduit par la Rédaction]