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Conference paper
Elliptical ion traps for quantum computation
Abstract
The case of arbitrary ellipticity is considered and two results for the crystal size and micromotion amplitude are derived. The first relation is a linear crystal stability condition, which shows that the maximum number of ions which can be confined is uniquely related to the ellipticity by a 7/3 power law. The micromotion in elliptical traps is far smaller than one would expect specifically that the micromotion amplitude depends approximately on the 1/5 power of the number of trapped ions. Micromotion is important because it prevents trapping in the Lamb-Dicke regime, required for quantum computation or for precision spectroscopy.