期刊
NEW JOURNAL OF PHYSICS
卷 14, 期 -, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1367-2630/14/9/093023
关键词
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资金
- Israel Science Foundation
- European Commission (PICC)
- German-Israeli Foundation
- Carlsberg Foundation
- EU via the FP7 projects 'Physics of Ion Coulomb Crystals' (PICC)
- 'Circuit and Cavity Quantum Electrodynamics' (CCQED)
We examine the time-dependent dynamics of ion crystals in radiofrequency traps. The problem of stable trapping of general threedimensional 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.
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