Quantum-classical Correspondence in Intense Laser Field-atom Interactions

High-field ionization suppression in a classical Kepler ensemble is discussed in terms of optimization with respect to pulse turn-on rate as well as pre-pulse preparation. It is argued that high-field ionization suppression is best understood in terms of reduced probability of ionization for pulsed fields, whereas for a quasi-steady field, high-field ionization suppression implies a reduced ionization rate at higher intensities. The classical ensemble is used to calculate the high-field ionization rate of a one-dimensional atomic model using a Gaussian short-range potential and the results are compared with high-frequency Floquet theory results recently reported by other authors. Better than qualitative agreement is found and the results are compared and discussed in terms of quantum superposition and classical interference. Finally, high-field ionization suppression is discussed in relation to statistical relative stability of classical orbits of the ensemble, and classical interference for both short- and long-range potentials. Correspondence with quantum superposition is interpreted in relation to quantum-classical correspondence.