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

  • Abdelhak BendjeffalEmail author
  • Abdallah Smida
  • Juba Messamah
  • Mahmoud Hachemane
Regular Article
  • 4 Downloads

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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Copyright information

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

Authors and Affiliations

  • Abdelhak Bendjeffal
    • 1
    Email author
  • Abdallah Smida
    • 1
  • Juba Messamah
    • 1
  • Mahmoud Hachemane
    • 1
  1. 1.Département de Physique Théorique, Faculté de PhysiqueUniversité des Sciences et de la Technologie Houari BoumedienneAlgerAlgeria

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