Abstract
Two ions confined to a radio-frequency trap and cooled by radiation pressure exhibit deterministic chaos. Theoretical analysis of the two-ion dynamics reveals that the route to chaos is due solely to ion-ion collisions. During a collision, the nonlinear Coulomb interaction introduces a transient instability, which gives way to stable single-particle-like motion as the ions move apart. The chaotic dynamics are characterized by a strange attractor that resembles a spiral galaxy.
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References
Poincaré, H. Les methodes nouvelles de la mechanique celeste (Gauthier-Villars, Paris, 1892).
Delande, D. & Gay, J. C. in Atomic Physics Vol. 11 (eds Haroche, S., Gay, J. C. & Grynberg, G.) 281–297 (World Scientific, New Jersey, 1989).
Hoffnagle, J., DeVoe, R. G., Reyna, L. & Brewer, R. G. Phys. Rev. Lett. 61, 255–258 (1988).
Wuerker, R. F., Shelton, H. & Langmuir, R. V. J. appl. Phys. 30, 342–349 (1959).
Blumel, R. et al. Nature 334, 309–313 (1988).
Berge, P., Pomeau, Y. & Vidal, C. Order Within Chaos 279 (Wiley, New York, 1984).
Lichtenberg, A. J. & Lieberman, M. A. Regular and Stochastic Motion 262 (Springer-Verlag, New York, 1983).
Dehmelt, H. G. Adv. atom. mol. Phys. 3, 53–72 (1967).
Kapitza, P. L. Zh. Eksperim. i Teor. Fiz. 21, 588 (1951).
Landau, L. D. & Lifshitz, E. M. Mechanics 93 (Pergamon, New York, 1978).
Abramowitz, M. & Stegun, I. A. Handbook of Mathematical Functions 724 (National Bureau of Standards, Washington, DC, 1968).
Blumel, R., Kappler, C., Quint, W. & Walther, H. Phys. Rev. A 40, 808–823 (1989).
Shimada, I. & Nagashima, T. Prog. theor. Phys. 61, 1605–1616 (1979).
Farmer, J. D., Ott, E. & Yorke, J. A. Physica D 7, 153–180 (1983).
Yorke, J. A. Dynamics, A Program for IBM PC Clones (University of Maryland, College Park, 1988).
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Brewer, R., Hoffnagle, J., DeVoe, R. et al. Collision-induced two-ion chaos. Nature 344, 305–309 (1990). https://doi.org/10.1038/344305a0
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DOI: https://doi.org/10.1038/344305a0
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