2002/02/22 by Shmuel Fishman, Fishman, Shmuel, Italo Guarneri +3
Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Quantum Physics (quant-ph) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #nlin.CD #quant-ph
paper · pdf · doi:10.48550/arxiv.nlin/0202047
26 pages, 9 figures
arxiv created 2002/02/22 · arxiv updated 2009/11/30
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 a limit that is very similar to the semiclassical limit, but with a small parameter that is not Planck's constant, but rather the detuning from the frequency that is resonant in absence of gravity.