Stability of two-ion crystals in the Paul trap: A comparison of exact and pseudopotential calculations

Autor:	R. G. Brewer, J. A. Hoffnagle
Rok vydání:	1995
Předmět:	Physics Physics and Astronomy (miscellaneous) General Engineering General Physics and Astronomy Equations of motion Monodromy matrix Bifurcation diagram Ion Crystal Pseudopotential Quantum mechanics Quadrupole Ion trap Atomic physics
Zdroj:	Applied Physics B Laser and Optics. 60:113-117
ISSN:	1432-0649 0946-2171
DOI:	10.1007/bf01135851
Popis:	The stability of two-ion crystals in a Paul trap with a dc component in the quadrupole potential has been studied with the use of the monodromy matrix. The pseudopotential model predicts crystals with the ions at rest either along the trap axis or in the radial plane. The solutions of the full equations of motion disagree with the predictions of the pseudopotential model when the radial and axial secular frequencies are nearly degenerate: the crystal is either unstable (as first noted by Emmertet al.) or exists in a previously unanticipated configuration in which the ions lie at an angle to the trap axes. A bifurcation diagram near the edge of the crystalline stability range does not support a frequency-doubling route to chaos.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::13cb8c3e51e83ca41a1ecd3119470307 https://doi.org/10.1007/bf01135851 Zobrazit plný text záznamu Full text from SpringerLink