S. A. Gardiner

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We propose a general method by which the overlap parameter, first proposed by Peres, of a quantum mechanical chaotic system can be determined. We show explicitly how this could be carried out for the delta-kicked harmonic oscillator, a system capable of displaying chaos classically. We propose an experimental configuration, within an ion trap, by which a(More)
Bright solitons are non-dispersive wave solutions, arising in a diverse range of nonlinear, one-dimensional systems, including atomic Bose-Einstein condensates with attractive interactions. In reality, cold-atom experiments can only approach the idealized one-dimensional limit necessary for the realization of true solitons. Nevertheless, it remains possible(More)
We show that mode locking finds a purely quantum nondissipative counterpart in atom-optical quantum accelerator modes. These modes are formed by exposing cold atoms to periodic kicks in the direction of the gravitational field. They are anchored to generalized Arnol'd tongues, parameter regions where driven nonlinear classical systems exhibit mode locking.(More)
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