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

Abdelhak Bendjeffal; Abdallah Smida; Juba Messamah; Mahmoud Hachemane

doi:10.1140/epjp/i2019-12865-9

EPJ

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

Abdelhak Bendjeffal^*, Abdallah Smida, Juba Messamah and Mahmoud Hachemane

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

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 $1 < q\leq 2$ . The special cases q = 2 and $q\rightarrow 1$ 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 $q\rightarrow 1$ 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 $f(n)=1$

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EPJ

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

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