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A Theory for Quantum Accelerator Modes in Atom Optics

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Abstract

Unexpected accelerator modes were recently observed experimentally for cold cesium atoms when driven in the presence of gravity. A detailed theoretical explanation of this quantum effect is presented here. The theory makes use of invariance properties of the system, that are similar to the ones of solids, leading to a separation into independent kicked rotor problems. The analytical solution makes use of an asymptotic approximation very similar to the semiclassical one, except that the small parameter is not Planck's constant, but rather the detuning from the frequency that is resonant in absence of gravity.

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Authors and Affiliations

  1. Physics Department, Technion, Haifa, 32000, Israel

    Shmuel Fishman

  2. Centro di Ricerca per i Sistemi Dinamici, Università dell'Insubria a Como, via Valleggio 11, 22100, Como, Italy

    Italo Guarneri & Laura Rebuzzini

  3. Istituto Nazionale per la Fisica della Materia, via Celoria 16, 20133, Milano, Italy

    Italo Guarneri

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  1. Shmuel Fishman
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  2. Italo Guarneri
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  3. Laura Rebuzzini
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Fishman, S., Guarneri, I. & Rebuzzini, L. A Theory for Quantum Accelerator Modes in Atom Optics. Journal of Statistical Physics 110, 911–943 (2003). https://doi.org/10.1023/A:1022176306198

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