A classical scaling theory of quantum resonances

Abstract

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 resonant quantum motion and the classical resonances of a related system. A scaling law which characterizes the structure of the resonant peaks is derived and numerically demonstrated.

4 pages, 2 Figs

References in corpus (1)

• Quantum resonances and decoherence for delta-kicked atoms

Cited by in corpus (7)

• Resonant nonlinear quantum transport for a periodically kicked Bose condensate
• Quantum synchronization
• General Quantum Resonances of the Kicked Particle
• Experimental verification of a one-parameter scaling law for the quantum and "classical" resonances of the atom-optics kicked rotor
• Delocalized and Resonant Quantum Transport in Nonlinear Generalizations of the Kicked Rotor Model
• The role of quasi-momentum in the resonant dynamics of the atom-optics kicked rotor
• Quantum Mechanical Cumulant Dynamics near Stable Periodic Orbits in Phase Space: Application to the classical-like dynamics of quantum accelerator modes