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
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 
.
© Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2019
