A Theory for Quantum Accelerator Modes in Atom Optics |
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Authors: | Shmuel Fishman Italo Guarneri Laura Rebuzzini |
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Affiliation: | (1) Physics Department, Technion, Haifa, 32000, Israel;(2) Centro di Ricerca per i Sistemi Dinamici, Università dell'Insubria a Como, via Valleggio 11, 22100 Como, Italy;(3) Istituto Nazionale per la Fisica della Materia, via Celoria 16, 20133 Milano, Italy |
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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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Keywords: | Kicked Rotors cold atoms optics phase space strucures |
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