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Modes of oscillation in radiofrequency Paul traps | Alex Retzker's Group

Modes of oscillation in radiofrequency Paul traps

Citation:

H Landa, Drewsen, M, Reznik, B, and Retzker, A. 9/13/2012. “Modes Of Oscillation In Radiofrequency Paul Traps”. New Journal Of Physics, 14. https://iopscience.iop.org/article/10.1088/1367-2630/14/9/093023.

Abstract:

We examine the time-dependent dynamics of ion crystals in radiofrequency traps. The problem of stable trapping of general three-dimensional crystals is considered and the validity of the pseudopotential approximation is discussed. We analytically derive the micromotion amplitude of the ions, rigorously proving well-known experimental observations. We use a recently proposed method to find the modes that diagonalize the linearized time-dependent dynamical problem. This allows one to obtain explicitly the ('Floquet–Lyapunov') transformation to coordinates of decoupled linear oscillators. We demonstrate the utility of the method by analyzing the modes of a small 'peculiar' crystal in a linear Paul trap. The calculations can be readily generalized to multispecies ion crystals in general multipole traps, and time-dependent quantum wavefunctions of ion oscillations in such traps can be obtained.
Last updated on 07/04/2021