Quantum resonances and decoherence for delta-kicked atoms

Details Quantum resonances and decoherence for delta-kicked atoms Quantum resonances and decoherence for delta-kicked atoms

2002-12-13

arxiv.org/abs/nlin/0212033v1

Nonlinearity 16, 1381 (2003)

Nonlinear Sciences

Chaotic Dynamics

51 pages, 13 figures; KEYWORDS: quantum chaos, decoherence, kicked rotor, dynamical localization, atom optics; submitted to No

Scientific paper

10.1088/0951-7715/16/4/312

The quantum resonances occurring with delta-kicked atoms when the kicking period is an integer multiple of the half-Talbot time are analyzed in detail. Exact results about the momentum distribution at exact resonance are established, both in the case of totally coherent dynamics and in the case when decoherence is induced by Spontaneous Emission. A description of the dynamics when the kicking period is close to, but not exactly at resonance, is derived by means of a quasi-classical approximation where the detuning from exact resonance plays the role of the Planck constant. In this way scaling laws describing the shape of the resonant peaks are obtained. Such analytical results are supported by extensive numerical simulations, and explain some recent surprising experimental observations.

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