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Nonlinear coherent states of the para-Bose oscillator and their non-classical features

  • B. MojaveriEmail author
  • A. Dehghani
  • R. Jafarzadeh Bahrbeig
Regular Article
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Abstract.

The construction of nonlinear coherent states via a unitary displacement operator is possible only for a few quantum-mechanical systems. In this paper, we define two non-unitary and a unitary displacement operators with the help of corresponding f -deformed bosonic annihilation and creation operators. While the action of the non-unitary displacement type operators on the vacuum state of field results in two new families of nonlinear coherent states (NLCSs), the unitary displacement operator reproduces Wigner-Heisenberg coherent states of the Gilmore-Perelomov type. We prove that the introduced NLCSs satisfy the resolution of the identities through positive definite measures. We also examine the non-classical properties of the obtained NLCSs by evaluating Klyshko’s criterion, Mandel’s parameter, quadrature squeezing and Wigner quasi-probability distribution function, in detail. Finally, we propose a simple scheme for the physical generation of the introduced NLCSs of the Gilmore-Perelomov type.

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Copyright information

© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • B. Mojaveri
    • 1
    Email author
  • A. Dehghani
    • 2
  • R. Jafarzadeh Bahrbeig
    • 1
  1. 1.Department of PhysicsAzarbaijan Shahid Madani UniversityTabrizIran
  2. 2.Department of PhysicsPayame Noor UniversityTehranIran

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