Coherent states of the driven Rydberg atom: Quantum-classical correspondence of periodically driven systems

Details Coherent states of the driven Rydberg atom: Quantum-classical correspondence of periodically driven systems Coherent states of the driven Rydberg atom: Quantum-classical correspondence of periodically driven systems

Jun 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005phrva..71f3403v&link_type=abstract

Physical Review A, vol. 71, Issue 6, id. 063403

Nonlinear Sciences

Chaotic Dynamics

6

Other Multiphoton Processes, Quantum Mechanics, Nonlinear Dynamics And Chaos, Chaotic Dynamics

Scientific paper

A methodology to calculate generalized coherent states for a periodically driven system is presented. We study wave packets constructed as a linear combination of suitable Floquet states of the three-dimensional Rydberg atom in a microwave field. The driven coherent states show classical space localization, spreading, and revivals and remain localized along the classical trajectory. The microwave strength and frequency have a great effect in the localization of Floquet states, since quasienergy avoided crossings produce delocalization of the Floquet states, showing that tuning of the parameters is very important. Using wavelet-based time-frequency analysis, the classical phase-space structure is determined, which allows us to show that the driven coherent state is located in a large regular region in which the z coordinate is in resonance with the external field. The expectation values of the wave packet show that the driven coherent state evolves along the classical trajectory.

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