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Soviet Physics Uspekhi

Quantum chaos: diffusion photoeffect in hydrogen

Dima L. Shepelyansky

Published May 31, 1987• 0 citations
Publisher

Abstract

Some properties of quantum chaos G P Berman Stochastic web and structure generation G M Zaslavski, Renad Z Sagdeev, O A Usikov et al. Dynamical chaos in magnetic systems K N Alekseev, G P Berman, V I Tsifrinovich et al. Quantum chaos in interactions of multilevel quantum systems with a coherent radiation field G P Berman and A R Kolovski Minimal chaos, stochastic webs, and structures of quasicrystal symmetry G M Zaslavski, Roal'd Z Sagdeev, D A Usikov et al. Ionization of excited hydrogen atoms by microwave fields: a test case for quantum chaos R Blumel and U Smilansky Quantum effects in the long time behavior of the dissipative standard map T Dittrich and R Graham Quantum chaos: diffusion photoeffect in hydrogen

DOI
10.1070/pu1987v030n05abeh002912

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Analytical and numerical results are presented on the mechanism of excitation and ionization of hydrogen atoms under microwave fields. In particular the existence is predicted of a critical value of the microwave field, the quantum delocalization border, above which the quantum packet delocalizes and strong excitation and ionization takes place. Below the quantum border, the packet is localized even though the correseponding classical system is chaotic and obeys a diffusion equation. These studies reveal some other unexpected new features of quantum dynamics which aslo could be observed in laboratory experiments and provides a quantum theory for subthreshold ionization. Keywords: Quantum Chaos; Energy Level Statistics; Quantum Kicked Rotator; Anderson Localization; Microwave Excitation of Hydrogen Atoms; Keldish Parameter; Quantum Diffusion; Italy.
Quantum mechanics and chaotic fields quantum chaos, complex spectral representation and time-symmetry breaking, T. Petrosky and I. Prigogine scale relativity, fractal space-time and quantum mechanics, L. Nottale introduction to wave phenomena and uncertainty in a fractal space - I, A. Le Mehaute et al young double-slit experiment, Heisenberg uncertainty principle and cantoria space-time, M.S. El Naschie the quantum dimension of space-time, E. Alvarez et al intra-observer chaos - hidden root of quantum mechanics?, O.E. Rossler amplification of superpositional effects through electronic - conformational interactions, M. Conrad quantum cellular automation in 1-D, D.W. Belousek et al an energy-barrier model of biased transport in disordered systems, M. Giona chaos in the Einstein equations, S.E. Rugh.
Both experiments and quantum calculations have revealed some validity of classical predictions for the classically stochastic or "diffusive" many-photon excitation and ionization of hydrogen atoms with principal quantum number n near 60 in an intense microwave field. These processes partially arise from the relatively dense number of excited atomic states present near the continuum, and from the large radiative couplings between these states. The classical scaling relations are supplemented to predict approximate threshold conditions for "diffusion" and ionization. Diffusion occurs when an electron orbit changes during one orbit time, while ionization requires adequate energy absorption from the the external field. Indicated are interesting experiments at ten micron wavelengths, intensities of tens of gigawatts per square cm, and bound electrons such as in the helium ion with n=6. These values are similar to those predicted for n=1 electrons in quantum well structures, where the situation is somewhat different because of the inverted anharmonicity of the ladders of field-free atom energy levels.