Even and odd \(\lambda\)-deformed binomial states: minimum uncertainty states

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Abstract.

Following the lines of the recent papers (Ann. Phys. 362, 659670 (2015) and Mod. Phys. Lett. A 37, 1550198 (2015)), we introduce even and odd \(\lambda\)-deformed binomial states (\(\lambda\)-deformed BSs) \( \vert M,\eta,\lambda\rangle_{\pm}\), in which for \(\lambda =0\), they lead to ordinary even and odd binomial states (BSs). We show that these states reduce to the \(\lambda\)-deformed cat-states in the special limits. We establish the resolution of identity property for them through a positive definite measure on the unit disc. The effect of the deformation parameter \(\lambda\) on the nonclassical properties of introduced states is investigated numerically. In particular, through the study of squeezing, we show that in contrast with the odd BSs, the odd \(\lambda\)-deformed BSs have squeezing. Also, we show that the even and odd \(\lambda\)-deformed BSs minimize the uncertainty relation for large values of \(\lambda\).

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Copyright information

© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  • B. Mojaveri
    • 1
  • A. Dehghani
    • 2
  • S. Amiri Faseghandis
    • 1
  1. 1.Department of PhysicsAzarbaijan Shahid Madani UniversityTabrizIran
  2. 2.Department of PhysicsPayame Noor UniversityTehranIran

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