Sandro Wimberger et al 2003 Nonlinearity 16 1381 doi:10.1088/0951-7715/16/4/312
Sandro Wimberger1,2,3, Italo Guarneri2,3,4 and Shmuel Fishman5
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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.
05.45.Mt Quantum chaos; semiclassical methods
05.30.Ch Quantum ensemble theory
03.65.Yz Decoherence; open systems; quantum statistical methods
Quantum gases, liquids and solids
Issue 4 (July 2003)
Received 17 December 2002
Published 23 May 2003
Sandro Wimberger et al 2003 Nonlinearity 16 1381
E G Kalnins 1979 J. Phys. A: Math. Gen. 12 1129
S V Pastukhov 2003 Russ. Math. Surv. 58 187
Dale L Bailey and Antonis Kalemis 2005 Phys. Med. Biol. 50 N55
C Varela et al 2006 Phys. Med. Biol. 51 425
M Klewer et al 1979 J. Phys. B: At. Mol. Phys. 12 L525
Mark Braverman 2006 Nonlinearity 19 1383
Bryan Kelleher 2004 Class. Quantum Grav. 21 483
A van den Bos 1977 J. Phys. E: Sci. Instrum. 10 753
H C Lee 1996 J. Phys. A: Math. Gen. 29 393