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-Arnold-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 (US) |
|---|---|
| Pages (from-to) | 8284-8287 |
| Number of pages | 4 |
| Journal | Physical Review A |
| Volume | 45 |
| Issue number | 11 |
| DOIs | |
| State | Published - 1992 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics
Cite this
Algebraic decay and phase-space metamorphoses in microwave ionization of hydrogen Rydberg atoms. / Lai, Ying-Cheng; Grebogi, Celso; Blömel, Reinhold; Ding, Mingzhou.
In: Physical Review A, Vol. 45, No. 11, 1992, p. 8284-8287.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Algebraic decay and phase-space metamorphoses in microwave ionization of hydrogen Rydberg atoms
AU - Lai, Ying-Cheng
AU - Grebogi, Celso
AU - Blömel, Reinhold
AU - Ding, Mingzhou
PY - 1992
Y1 - 1992
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-Arnold-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-Arnold-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.
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UR - http://www.scopus.com/inward/citedby.url?scp=0000081677&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.45.8284
DO - 10.1103/PhysRevA.45.8284
M3 - Article
VL - 45
SP - 8284
EP - 8287
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
SN - 1050-2947
IS - 11
ER -