https://doi.org/10.1140/epjd/s10053-021-00337-8
Regular Article – Quantum Optics
Squeezing and nonclassicality of q-deformed superposition states
1
Department of Physics, Indian Institute of Space Science and Technology, 695 547, Thiruvananthapuram, India
2
ISRO Inertial Systems Unit, 695 013, Thiruvananthapuram, India
Received:
15
November
2021
Accepted:
27
December
2021
Published online:
18
January
2022
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.
© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2022
