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19952019
most citedEffective Hamiltonians for periodically driven systems

263 citations · 2.2k across the 84 of their papers we have counts for

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5 papers · 1 filter

nlin.CD2003★ 10 cited

Point perturbations of circle billiards

Saar Rahav, Oran Richman, Shmuel Fishman

The spectral statistics of the circular billiard with a point-scatterer is investigated. In the semiclassical limit, the spectrum is demonstrated to be composed of two uncorrelated…

quant-ph2003★ 34 cited

Decoherence as a Probe of Coherent Quantum Dynamics

Michael B. d'Arcy, Rachel M. Godun, Gil S. Summy +4

The effect of decoherence, induced by spontaneous emission, on the dynamics of cold atoms periodically kicked by an optical lattice is experimentally and theoretically studied. Ide…

nlin.CD2003★ 94 cited

Time independent description of rapidly oscillating potentials

Saar Rahav, Ido Gilary, Shmuel Fishman

The classical and quantum dynamics in a high frequency field are found to be described by an effective time independent Hamiltonian. It is calculated in a systematic expansion in t…

nlin.CD2003★ 64 cited

A classical scaling theory of quantum resonances

Sandro Wimberger, Italo Guarneri, Shmuel Fishman

The quantum resonances occurring with delta-kicked particles are studied with the help of a fictitious classical limit, establishing a direct correspondence between the nearly reso…

nlin.CD2003★ 263 cited

Effective Hamiltonians for periodically driven systems

Saar Rahav, Ido Gilary, Shmuel Fishman

The dynamics of classical and quantum systems which are driven by a high frequency () field is investigated. For classical systems the motion is separated into a slow part and a…