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Microwave ionization of hydrogen rydberg atoms: Chaos, symmetry and dynamical localization

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Classical, Semiclassical and Quantum Dynamics in Atoms

Part of the book series: Lecture Notes in Physics ((LNP,volume 485))

Abstract

Together with the hydrogen atom in a strong magnetic field the hydrogen atom in a strong microwave field is one of the best studied atomic physics examples of a quantum Hamiltonian system chaotic in its classical limit. The chaos link is strong. Excitation, ionization and dynamical localization are most easily understood in the framework of chaos. This paper focusses on dynamical localization in driven hydrogen Rydberg atoms and suggests to study the effect of symmetry and symmetry breaking on the dynamical localization length in strongly driven Rydberg atoms.

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References

  • Bayfield J.E., Koch P.M. (1974): Multiphoton Ionization of Highly Excited Hydrogen Atoms: Phys. Rev. Lett. 33, 258–261

    Article  ADS  Google Scholar 

  • Blümel R., Smilansky U. (1984a): Quantum Mechanical Suppression of Classical Stochasticity in the Dynamics of Periodically Perturbed Surface-State-Electrons. Phys. Rev. Lett. 52, 137–140

    Article  ADS  Google Scholar 

  • Blümel R., Smilansky U. (1984b): Suppression of Classical Stochasticity by Quantum Mechanical Effects in the Dynamics of Periodically Perturbed Surface-State Electrons. Phys. Rev. A30, 1040–1051

    ADS  Google Scholar 

  • Blümel R., Fishman S., Smilansky U. (1986): Excitation of Molecular Rotation by Periodic Microwave Pulses. A Testing Ground for Anderson Localization. J. Chem. Phys. 84, 2604–2614

    Article  ADS  Google Scholar 

  • Blümel R., Smilansky U. (1992): Symmetry Breaking and Localization in Quantum Chaotic Systems: Phys. Rev. Lett. 69, 217–220

    Article  ADS  Google Scholar 

  • Blümel R. (1993): Exotic Fractals and Atomic Decay, in Quantum Chaos, ed. G. Casati, I. Guarneri and U. Smilanski (North-Holland, Amsterdam), 385–398

    Google Scholar 

  • Casati G., Chirikov B.V., Izraelev F.M., Ford J. (1979): Stochastic Behavior of a Quantum Pendulum under a Periodic Perturbation, in Stochastic Behavior in Classical and Quantum Hamiltonian Systems, ed. G. Casati and J. Ford (Springer, New York)

    Chapter  Google Scholar 

  • Casati G., Chirikov B.V., Guarneri I., Shepelyansky D.L. (1987): Relevance of classical chaos in quantum mechanics: The hydrogen atom in a monochromatic field. Phys. Rep. 154, 77–123

    Article  ADS  Google Scholar 

  • Casati G., Chirikov B. (editors) (1995): Quantum Chaos (Cambridge Univ. Press, Cambridge)

    Google Scholar 

  • Chirikov B.V. (1979): A Universal Instability of Many-Dimensional Oscillator Systems. Phys. Rep. 52, 263–379

    Article  ADS  MathSciNet  Google Scholar 

  • Dittrich T., Smilansky U. (1991a): Spectral Properties of Systems with Dynamical Localization: I. The Local Spectrum. Nonlinearity 4, 59–84

    Article  MATH  ADS  Google Scholar 

  • Dittrich T., Smilansky U. (1991b): Spectral Properties of Systems with Dynamical Localization: II. Finite Sample Approach. Nonlinearity 4, 85–101

    Article  MATH  ADS  Google Scholar 

  • Fan W. (1994): Generalized Accelerator modes and their Application in Atomic Physics and Plasma Heating. (Thesis, University of Delaware)

    Google Scholar 

  • Fishman S., Grempel D.R., Prange R.E. (1982): Chaos, Quantum Recurrences, and Anderson Localization. Phys. Rev. Lett. 49, 509–512

    Article  ADS  MathSciNet  Google Scholar 

  • Friedrich H., Wintgen D. (1989): The Hydrogen Atom in a Uniform Magnetic Field: An Example of Chaos. Phys. Rep. 183, 37–79

    Article  ADS  MathSciNet  Google Scholar 

  • Friedrich H. (1991): Theoretical Atomic Physics. (Springer, Berlin)

    Google Scholar 

  • Gay J.-C. (ededitor) (1992): Irregular Atomic Systems and Quantum Chaos (Gordon and Breach, Philadelphia)

    Google Scholar 

  • Hillermeier C.F., Blümel R., Smilansky U. (1992): Ionization of H Rydberg Atoms: Fractals and Powerlaw Decay. Phys. Rev. A45, 3486–3502

    ADS  Google Scholar 

  • Izrailev F.M. (1990): Simple Models of Quantum Chaos: Spectrum and Eigenfunctions. Phys. Rep. 196, 299–392

    Article  ADS  MathSciNet  Google Scholar 

  • Jensen R.V., Susskind S.M., Sanders M.M. (1991): Chaotic Ionization of Highly Excited Hydrogen Atoms: Comparison of Classical and Quantum Theory with Experiment. Phys. Rep. 201, 1–56

    Article  ADS  Google Scholar 

  • Koch P.M. (1992): Private communication.

    Google Scholar 

  • Koch P.M., van Leeuwen K.A.H. (1995): The Importance of Resonances in Microwave “Ionization” of Excited Hydrogen Rydberg Atoms. Phys. Rep. 255, 289–403

    Article  ADS  Google Scholar 

  • Main J. (1997): Semiclassical Approaches to Atoms in External Field. pp. 247 of this volume.

    Google Scholar 

  • Moorman L., Koch P.M. (1992): Microwave Ionization of Rydberg Atoms, in Quantum Non-Integrability, edited by D. H. Feng and J.-M. Yuan (World Scientific, Singapore)

    Google Scholar 

  • Smilansky U., Fishman S. (1989): Private communication.

    Google Scholar 

  • Thaha M., Blümel R., Smilansky U. (1993): Symmetry Breaking and Localization in Quantum Chaotic Systems. Phys. Rev. E48, 1764–1781

    ADS  Google Scholar 

  • Wintgen D. (1987): Connection between Long-Range Correlations in Quantum Spectra and Classical Periodic Orbits. Phys. Rev. Lett. 58, 1589–1592

    Article  ADS  Google Scholar 

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Harald Friedrich Bruno Eckhardt

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© 1997 Springer-Verlag

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Blümel, R. (1997). Microwave ionization of hydrogen rydberg atoms: Chaos, symmetry and dynamical localization. In: Friedrich, H., Eckhardt, B. (eds) Classical, Semiclassical and Quantum Dynamics in Atoms. Lecture Notes in Physics, vol 485. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0105974

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  • DOI: https://doi.org/10.1007/BFb0105974

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63004-3

  • Online ISBN: 978-3-540-69055-9

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