Generalized Photon Added and Subtracted f‐Deformed Displaced Fock States

Abstract

In this paper, by making use of the nonlinear coherent states approach, the generalized photon added and subtracted f-deformed displaced Fock states are introduced. In other words, a natural link between photon added and subtracted displaced Fock states and nonlinear coherent states associated with nonlinear oscillator algebra is obtained. It is found that various kinds of nonclassical states can be generated by adopting appropriately controlling parameters in both linear and nonlinear regimes. Moreover, examining some of the most nonclassical properties such as Mandel's Q parameter, different types of squeezing, namely, quadrature, amplitude-squared and phase entropic squeezing, and Vogel's characteristic function, the nonclassicality features of the considered quantum states of interest are studied. Furthermore, to obtain the degree of quantum coherence, the relative entropy of coherence is investigated. Indeed, the nonclassicality aspects of the states obtained have been numerically studied to understand the roles of deformation functions, photons added and subtracted, and photon number occupied in the Fock state on physical properties. It is demonstrated that the depth and the domain of the nonclassicality features of the system can properly be controlled by selecting the suitable parameters.

Realistic continuous-variable quantum teleportation using a displaced Fock state channel

“…For further expansion of this generalized displacement operator, it is necessary to find a way to disentangle the f -deformed bosonic operators using Baker-Campbell-Hausdorf formula. The method of auxiliary operators suggests two auxiliary operators, namely B = af (N ) −1 and B † = f † (N ) −1 a † to overcome this difficulty [25]. This leads to the generators {A, B † , B † A, I} and {B, A † , A † B, I} that satisfy the Weyl-Heisenberg Lie algebra as well as the commutation relations [A,…”