### Abstract

We study classically the microwave ionization of hydrogen atoms using the standard one-dimensional model. We find that the survival probability of an electron decays algebraically for long exposure times. Furthermore, as the microwave field strength increases, we find that the asymptotic algebraic decay exponent can decrease due to phase-space metamorphoses in which new layers of Kolmogorov-Amold-Moser KAM) islands are exposed when KAM surfaces are destroyed. We also find that after such phase-space metamorphoses, the survival probability of an electron as a function of time can have a crossover region with different decay exponents. We argue that this phenomenon is typical for open Hamiltonian systems that exhibit nonhyperbolic chaotic scattering.

Original language | English |
---|---|

Pages (from-to) | 8284-8287 |

Number of pages | 4 |

Journal | Physical Review A |

Volume | 45 |

Issue number | 11 |

DOIs | |

Publication status | Published - 1 Jun 1992 |

### Keywords

- HIGHLY-EXCITED ATOMS
- HAMILTONIAN-SYSTEMS
- CHAOTIC SCATTERING
- CLASSICAL-THEORY
- SIMPLE-MODEL
- FIELDS
- EXCITATION
- TRANSPORT

### Cite this

*Physical Review A*,

*45*(11), 8284-8287. https://doi.org/10.1103/PhysRevA.45.8284

**Algebraic decay and phase-space metamorphoses in microwave ionization of hydrogen Rydberg atoms.** / Lai, Ying-Cheng; Grebogi, Celso; Blümel, Reinhold; Ding, Mingzhou.

Research output: Contribution to journal › Article

*Physical Review A*, vol. 45, no. 11, pp. 8284-8287. https://doi.org/10.1103/PhysRevA.45.8284

}

TY - JOUR

T1 - Algebraic decay and phase-space metamorphoses in microwave ionization of hydrogen Rydberg atoms

AU - Lai, Ying-Cheng

AU - Grebogi, Celso

AU - Blümel, Reinhold

AU - Ding, Mingzhou

PY - 1992/6/1

Y1 - 1992/6/1

N2 - We study classically the microwave ionization of hydrogen atoms using the standard one-dimensional model. We find that the survival probability of an electron decays algebraically for long exposure times. Furthermore, as the microwave field strength increases, we find that the asymptotic algebraic decay exponent can decrease due to phase-space metamorphoses in which new layers of Kolmogorov-Amold-Moser KAM) islands are exposed when KAM surfaces are destroyed. We also find that after such phase-space metamorphoses, the survival probability of an electron as a function of time can have a crossover region with different decay exponents. We argue that this phenomenon is typical for open Hamiltonian systems that exhibit nonhyperbolic chaotic scattering.

AB - We study classically the microwave ionization of hydrogen atoms using the standard one-dimensional model. We find that the survival probability of an electron decays algebraically for long exposure times. Furthermore, as the microwave field strength increases, we find that the asymptotic algebraic decay exponent can decrease due to phase-space metamorphoses in which new layers of Kolmogorov-Amold-Moser KAM) islands are exposed when KAM surfaces are destroyed. We also find that after such phase-space metamorphoses, the survival probability of an electron as a function of time can have a crossover region with different decay exponents. We argue that this phenomenon is typical for open Hamiltonian systems that exhibit nonhyperbolic chaotic scattering.

KW - HIGHLY-EXCITED ATOMS

KW - HAMILTONIAN-SYSTEMS

KW - CHAOTIC SCATTERING

KW - CLASSICAL-THEORY

KW - SIMPLE-MODEL

KW - FIELDS

KW - EXCITATION

KW - TRANSPORT

U2 - 10.1103/PhysRevA.45.8284

DO - 10.1103/PhysRevA.45.8284

M3 - Article

VL - 45

SP - 8284

EP - 8287

JO - Physical Review A

JF - Physical Review A

SN - 1050-2947

IS - 11

ER -