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Quantum resonances and decoherence for δ-kicked atoms

Sandro Wimberger1,2,3, Italo Guarneri2,3,4 and Shmuel Fishman5

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Recommended 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

05.45.Mt Quantum chaos; semiclassical methods

05.30.Ch Quantum ensemble theory

03.65.Yz Decoherence; open systems; quantum statistical methods

02.50.Ey Stochastic processes

MSC

81V45 Atomic physics

81Q50 Quantum chaos (See also 37Dxx)

Subjects

Quantum gases, liquids and solids

Computational physics

Quantum information and quantum mechanics

Statistical physics and nonlinear systems

Dates

Issue 4 (July 2003)

Received 17 December 2002

Published 23 May 2003



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