We investigate the parametric fluctuations in the quantum survival probability of an open version of the S-kicked rotor model in the deep quantum regime. Spectral arguments (Guarneri I and Terraneo M 2001 Phys. Rev. E 65 015203(R)) predict the existence of parametric fractal fluctuations owing to the strong dynamical localization 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 realization 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.

Can quantum fractal fluctuations be observed in an atom-optics kicked rotor experiment? / A. Tomadin;R. Mannella;S. Wimberger. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. - ISSN 0305-4470. - 39:10(2006), pp. 2477-2491. [10.1088/0305-4470/39/10/015]

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

WIMBERGER, Sandro Marcel
2006

Abstract

We investigate the parametric fluctuations in the quantum survival probability of an open version of the S-kicked rotor model in the deep quantum regime. Spectral arguments (Guarneri I and Terraneo M 2001 Phys. Rev. E 65 015203(R)) predict the existence of parametric fractal fluctuations owing to the strong dynamical localization 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 realization 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.
Can quantum fractal fluctuations be observed in an atom-optics kicked rotor experiment? / A. Tomadin;R. Mannella;S. Wimberger. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. - ISSN 0305-4470. - 39:10(2006), pp. 2477-2491. [10.1088/0305-4470/39/10/015]
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11381/2696714
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 5
  • ???jsp.display-item.citation.isi??? 5
social impact