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

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Can quantum fractal fluctuations be observed in an atom-optics kicked rotor experiment? / Tomadin, Andrea; Mannella, Riccardo; Wimberger, Sandro.
In: Journal of Physics A: Mathematical and General , Vol. 39, 22.02.2006, p. 2477-2491.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Tomadin, A, Mannella, R & Wimberger, S 2006, 'Can quantum fractal fluctuations be observed in an atom-optics kicked rotor experiment?', Journal of Physics A: Mathematical and General , vol. 39, pp. 2477-2491. https://doi.org/10.1088/0305-4470/39/10/015

APA

Tomadin, A., Mannella, R., & Wimberger, S. (2006). Can quantum fractal fluctuations be observed in an atom-optics kicked rotor experiment? Journal of Physics A: Mathematical and General , 39, 2477-2491. https://doi.org/10.1088/0305-4470/39/10/015

Vancouver

Tomadin A, Mannella R, Wimberger S. Can quantum fractal fluctuations be observed in an atom-optics kicked rotor experiment? Journal of Physics A: Mathematical and General . 2006 Feb 22;39:2477-2491. doi: 10.1088/0305-4470/39/10/015

Author

Tomadin, Andrea ; Mannella, Riccardo ; Wimberger, Sandro. / Can quantum fractal fluctuations be observed in an atom-optics kicked rotor experiment?. In: Journal of Physics A: Mathematical and General . 2006 ; Vol. 39. pp. 2477-2491.

Bibtex

@article{76e73d70aaaa4123b24249276260643f,
title = "Can quantum fractal fluctuations be observed in an atom-optics kicked rotor experiment?",
abstract = "We investigate the parametric fluctuations in the quantum survival probability of an open version of the δ-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.",
author = "Andrea Tomadin and Riccardo Mannella and Sandro Wimberger",
year = "2006",
month = feb,
day = "22",
doi = "10.1088/0305-4470/39/10/015",
language = "English",
volume = "39",
pages = "2477--2491",
journal = "Journal of Physics A: Mathematical and General ",
issn = "0305-4470",
publisher = "IOP Publishing Ltd",

}

RIS

TY - JOUR

T1 - Can quantum fractal fluctuations be observed in an atom-optics kicked rotor experiment?

AU - Tomadin, Andrea

AU - Mannella, Riccardo

AU - Wimberger, Sandro

PY - 2006/2/22

Y1 - 2006/2/22

N2 - We investigate the parametric fluctuations in the quantum survival probability of an open version of the δ-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.

AB - We investigate the parametric fluctuations in the quantum survival probability of an open version of the δ-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.

U2 - 10.1088/0305-4470/39/10/015

DO - 10.1088/0305-4470/39/10/015

M3 - Journal article

VL - 39

SP - 2477

EP - 2491

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

SN - 0305-4470

ER -