https://doi.org/10.1140/epjp/s13360-023-03856-y
Regular Article
Effects of micromotion on the squeezing and on the dynamical behaviour of ion in a Paul trap
1
Department of Physics, Visva-Bharati, 731235, Santiniketan, India
2
Department of Physics, National Institute of Technology Patna, 800005, Patna, India
Received:
15
December
2022
Accepted:
2
March
2023
Published online:
24
March
2023
By assuming the classical description of the centre of mass motion of an ion in a Paul trap, the corresponding equation of motion is represented by the Mathieu-type nonlinear differential equation. Under the approximation of small amplitude of the rf field, we derive the closed form analytical solutions of the said differential equation. The solution is found useful for investigating the dynamical behaviour of the ion in the Paul trap. From the knowledge of the classical description of the motion, the possibility of the quantized motion of the centre of mass of the ion is discussed. The quantized solutions of the position and momentum operators of centre of mass of the ion and hence the canonically conjugate quadratures are used to investigate the squeezing properties. The second-order variances of these quadrature operators are calculated with respect to the input thermal and coherent light sources. In particular, the effect of micromotion is taken care for investigating the squeezing effects of the quadrature components involving the input thermal and coherent light coupled to the ion in a Paul trap.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
