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Quantum signatures of chaos in the dynamics of a trapped ion

J. K. Breslin·C. A. Holmes·G. J. Milburn
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Abstract

We show how a nonlinear chaotic system, the parametrically kicked nonlinear oscillator, may be realised in the dynamics of a trapped, laser-cooled ion, interacting with a sequence of standing wave pulses. Unlike the original optical scheme [G.J.Milburn and C.A.Holmes, Phys. Rev A, 44, p4704, (1991)], the trapped ion enables strongly quantum dynamics with minimal dissipation. This should permit an experimental test of one of the quantum signatures of chaos; irregular collapse and revival dynamics of the average vibrational energy.

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J. K. Breslin, C. A. Holmes, G. J. Milburn. 1996-11-14. Quantum signatures of chaos in the dynamics of a trapped ion. https://doi.org/10.1103/physreva.56.3022

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