Eur. Phys. J. Plus (2019) 134: 330
https://doi.org/10.1140/epjp/i2019-12865-9

Regular Article

A class of nonlinear coherent states attached to Tsallis q-exponential

Département de Physique Théorique, Faculté de Physique, Université des Sciences et de la Technologie Houari Boumedienne, BP 32 El-Alia, 16111, Alger, Algeria

^* e-mail: abendjeffal@gmail.com

Received: 6 December 2018
Accepted: 23 April 2019
Published online: 15 July 2019

Abstract

We construct a new class of nonlinear coherent states (NCS's) based on Tsallis q -exponential with . The special cases q = 2 and recover the well-known harmonious states and canonical coherent states, respectively. Some non-classical properties are then studied. It has been found that this class of NCS's exhibits quadrature squeezing in the p component, amplitude squared squeezing in the Y component and negativity of Wigner function, however, it obeys a super-Poissonian statistics and exhibits a bunching behavior. In addition, we introduce nonlinear two-mode squeezed vacuum states (NTSVSs) attached to Tsallis q-exponential. These states are reduced to the well-known two-mode squeezed vacuum states (TSVSs) and pair coherent states (PCSs) when and q = 2, respectively. Furthermore, the entanglement of the NTSVSs is examined by evaluating the linear entropy. Finally, we investigate the quantum teleportation of a coherent state using a NTSVS as a shared entangled resource instead of a TSVS. It is shown that the fidelity of teleportation depends on the nonlinearity function f(n) and recovers its standard expression in the linear limit .