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Squeezing and nonclassicality of q-deformed superposition states

  • Regular Article – Quantum Optics
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Abstract

We inquire into the nonclassical properties of the superposition of squeezed vacuum and that of squeezed coherent states of a math-type q-deformed harmonic oscillator. The quadrature squeezing, higher-order squeezing, number squeezing, and the q-deformed Husimi Q function are studied. The states are shown to have squeezing only for specific values of the deformation parameter q and the squeezing parameter r. We find that quadrature squeezing coefficient is independent of the parameter q in the q-deformed squeezed vacuum states, and the squeezing vanishes when we take superposition of deformed squeezed states. The Husimi Q function reveals that the states considered are nonclassical irrespective of their squeezing properties. Quadrature squeezing coefficient (except for q-deformed squeezed vacuum state), higher-order squeezing, number squeezing, and Husimi Q function vary for different values of q.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’s comment: No data is used to produce any result in the paper. All the figures in the manuscript are produced using the equations derived in the manuscript.]

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Author information

Authors and Affiliations

  1. Department of Physics, Indian Institute of Space Science and Technology, Thiruvananthapuram, 695 547, India

    Anupama S. & C. Sudheesh

  2. ISRO Inertial Systems Unit, Thiruvananthapuram, 695 013, India

    S. Kannan

Authors
  1. Anupama S.
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  2. S. Kannan
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  3. C. Sudheesh
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Contributions

C. Sudheesh conceived the idea of the present work. Anupama S developed the theoretical formalism, performed analytical calculations and numerical simulations with the help of S. Kannan. C. Sudheesh supervised the whole work. All the authors have contributed to the final version of the manuscript.

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Correspondence to C. Sudheesh.

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S., A., Kannan, S. & Sudheesh, C. Squeezing and nonclassicality of q-deformed superposition states. Eur. Phys. J. D 76, 11 (2022). https://doi.org/10.1140/epjd/s10053-021-00337-8

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  • DOI: https://doi.org/10.1140/epjd/s10053-021-00337-8

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