Can quantum fractal fluctuations be observed in an atom-optics kicked rotor experiment?

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dc.creatorTomadin, Andrea
dc.creatorMannella, Riccardo
dc.creatorWimberger, Sandro
dc.date2005-12-01
dc.date.accessioned2026-07-07T06:55:55Z
dc.date.available2026-07-07T06:55:55Z
dc.descriptionWe investigate the parametric fluctuations in the quantum survival probability of an open version of the delta-kicked rotor model in the deep quantum regime. Spectral arguments [Guarneri I and Terraneo M 2001 Phys. Rev. E vol. 65 015203(R)] predict the existence of parametric fractal fluctuations owing to the strong dynamical localisation of the eigenstates of the kicked rotor. We discuss the possibility of observing such dynamically-induced fractality in the quantum survival probability as a function of the kicking period for the atom-optics realisation of the kicked rotor. The influence of the atoms' initial momentum distribution is studied as well as the dependence of the expected fractal dimension on finite-size effects of the experiment, such as finite detection windows and short measurement times. Our results show that clear signatures of fractality could be observed in experiments with cold atoms subjected to periodically flashed optical lattices, which offer an excellent control on interaction times and the initial atomic ensemble.
dc.description18 pp, 7 figs., 1 table
dc.identifierhttps://arxiv.org/abs/nlin/0512002
dc.identifierhttp://arxiv.org/abs/nlin/0512002
dc.identifierJ. Phys. A: Math. Gen. 39 2477-2491 (2006)
dc.identifierdoi:10.1088/0305-4470/39/10/015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106443
dc.subjectChaotic Dynamics
dc.subjectQuantum Physics
dc.titleCan quantum fractal fluctuations be observed in an atom-optics kicked rotor experiment?
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