Squeezing and Nonclassicality of Q-Deformed Superposition States
The European physical journal D, Atomic, molecular and optical physics/The European physical journal D, Atomic, molecular, optical and plasma physics(2022)
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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