| Autor: |
Bayen, Dolan Krishna, Mandal, Swapan |
| Zdroj: |
European Physical Journal Plus; Mar2023, Vol. 138 Issue 3, p1-9, 9p |
| Abstrakt: |
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. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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