1998
DOI: 10.1103/physrevlett.81.4843
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Observation of the Transition to Chaos in the Level Statistics of Diamagnetic Helium

Abstract: We have investigated level statistics in constant-scaled-energy spectra of the diamagnetic helium atom. In a transversely laser-cooled beam metastable triplet atoms are excited to Rydberg states in the presence of a magnetic field, resolving all resonances. In the regime of regular classical motion level distributions obeying Poisson statistics are observed. Small deviations are attributed to scattering at the nonhydrogenic He 1 core as inferred from closed-orbit theory. The nearest-neighbor spacings in spectr… Show more

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Cited by 21 publications
(13 citation statements)
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References 16 publications
(22 reference statements)
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“…Our preliminary result shows that the squeezed exponential well fit the kinetic behavior through the whole time range including this initial phase, giving a better fitting than the conventional exponential curve. Note in addition that the distribution function of FPTs equals the time derivative of the native accumulation as shown in Figure 2(a), and the time‐derivative function of the squeezed exponential is identical with the so‐called Brody distribution 38, 39…”
Section: Resultsmentioning
confidence: 92%
“…Our preliminary result shows that the squeezed exponential well fit the kinetic behavior through the whole time range including this initial phase, giving a better fitting than the conventional exponential curve. Note in addition that the distribution function of FPTs equals the time derivative of the native accumulation as shown in Figure 2(a), and the time‐derivative function of the squeezed exponential is identical with the so‐called Brody distribution 38, 39…”
Section: Resultsmentioning
confidence: 92%
“…This has been found numerically in the study of the Rydberg levels of the hydrogen atom 14 in which the transition is tuned by the application of an increasingly strong magnetic field and experimentally in diamagnetic helium by tuning the excitation energy in the presence of a magnetic field. 15 Here, we present experimental results that indicate that statistical distributions of highly irregularly shaped Pb clusters follow RMT. This is an extension of earlier work 16 and its purpose is to address in detail experimental issues and present additional results which led to our conclusions.…”
Section: Introductionmentioning
confidence: 93%
“…Here, nonperturbative treatments are necessary. 20,21 The number of theoretical studies is larger [22][23][24][25] than that of experimental studies. For a hydrogen atom, for example, the corresponding field strength is 2.4×10 5 T for its ground level but 10 T for n=29 level, where n is the principal quantum number.…”
Section: Introductionmentioning
confidence: 99%