Sandro Wimberger et al 2003 Nonlinearity 16 1381 doi:10.1088/0951-7715/16/4/312
Quantum resonances and decoherence for δ-kicked atoms
Sandro Wimberger1,2,3, Italo Guarneri2,3,4 and Shmuel Fishman5
Show affiliationsRecommended by T Prosen
The quantum resonances occurring with δ-kicked atoms when the kicking period is an integer multiple of the half-Talbot time are analysed 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.
- PACS
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05.45.Mt Quantum chaos; semiclassical methods
05.30.Ch Quantum ensemble theory
03.65.Yz Decoherence; open systems; quantum statistical methods
- MSC
- Subjects
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Quantum gases, liquids and solids
- Dates
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Issue 4 (July 2003)
Received 17 December 2002
Published 23 May 2003
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Quantum resonances and decoherence for δ-kicked atoms
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