High-resolution laser spectroscopy of diamagnetic helium in the chaotic regime

Karremans, K.; Vassen, W.; Hogervorst, W.

doi:10.1103/physreva.60.4764

Cited by 10 publications

(3 citation statements)

References 22 publications

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“…Every orbit is labeled by V u v or R u v , R u v means the vth bifurcation of the uth orbit perpendicular to the field axis, and V u v is defined as the vth bifurcation of the uth return orbit parallel to the field axis [13] . We calculate the classical scaled action S , the classical scaled amplitude A , as well as the Maslov index V for each closed orbit.…”

Section: Resultsmentioning

confidence: 99%

Scattering matrix theory for Cs Rydberg atoms in magnetic field

Liu

Gao

Xue-You

et al. 2008

Sci. China Ser. G-Phys. Mech. As

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Based on the closed orbit theory framework together with the quantum defect theory and time-independent scattering matrices theory, we calculate the recurrence spectra of diamagnetic Cs atoms at several different scaled energies near the second ionization threshold. It is revealed that the new extra peaks in spectra are attributed to the combination recurrences of semiclassical closed orbits arising from core-scattered events. This method considers the dynamic states of the Rydberg electron in the core region and long-range region and can be analytically resumed to include all orders of core-scattering automatically. With this approach a convergent recurrence spectrum can be reasonably achieved. It is found that the spectral complexity depends highly sensitively on the scaled energy. With the increase of the scaled energy, the spectral structure changes from simple to complicate and the dynamic feature from regular to chaotic. The comparison of the recurrence spectra with Dando's result under the same conditions demonstrates that there exist some similarities and differences between them, and furthermore, the feasibility of the scattering matrix method is explained.scattering matrix, recurrence spectrum, combination of the closed orbits, core-scattering effect

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Section: Resultsmentioning

confidence: 99%

Scattering matrix theory for Cs Rydberg atoms in magnetic field

Liu

Gao

Xue-You

et al. 2008

Sci. China Ser. G-Phys. Mech. As

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“…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%

Experimental setup for laser spectroscopy of molecules in a high magnetic field

Takazawa

2011

Review of Scientific Instruments

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An experimental setup to measure the effects of a high magnetic field on the structure and decay dynamics of molecules is designed and constructed. A vacuum chamber is mounted in the bore of a superconducting magnet. A molecular beam passes in the chamber. Pulsed laser light excites the molecules in the field. The parent or fragment ions are extracted by an electric field parallel to the magnetic field. They are detected by a microchannel plate. Their mass and charge are determined by the time-of-flight method. The performance of the setup was examined using resonance-enhanced two-photon ionization through the X(2) Π-A(2)Σ(+) transition of nitric oxide (NO) molecules. The ions were detected with sufficient mass resolution to discriminate the species in a field of up to 10 T. This is the first experiment to succeed in the mass-selective detection of ions by the time-of-flight method in a high magnetic field. By measuring NO(+) ion current as a function of the laser frequency, the X(2)Π-A(2) Σ(+) rotational transition lines, separated clearly from the background noise, were observed in fields of up to 10 T. From the relative strengths of the transition lines, the ion detection efficiency was determined as a function of the magnetic field strength. This setup was shown to be applicable in a field higher than 10 T. The Landau levels of molecules were successfully observed to demonstrate the setup.

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“…Rydberg atoms in a magnetic field have become prototype examples of a quantum system with an underlying classical dynamics changing from regular to chaotic motion with increasing excitation energy [1][2][3]. The Garton-Tomkins resonances originally found in barium atoms [4] and similar types of experimentally observed long-range modulations [5][6][7][8] can be associated with classical closed orbits starting at and returning to the nucleus. A deeper quantitative analysis and interpretation of these features is possible within semiclassical theories, such as periodic orbit theory [9,10] and, as a variant for the photoabsorption of atomic systems, closed orbit theory [11,12].…”

Section: Introductionmentioning

confidence: 99%

Photoabsorption spectra of the diamagnetic hydrogen atom in the transition regime to chaos: closed orbit theory with bifurcating orbits

Fabčič

Main

Bartsch

et al. 2005

J. Phys. B: At. Mol. Opt. Phys.

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With increasing energy the diamagnetic hydrogen atom undergoes a transition from regular to chaotic classical dynamics, and the closed orbits pass through various cascades of bifurcations.Closed orbit theory allows for the semiclassical calculation of photoabsorption spectra of the diamagnetic hydrogen atom. However, at the bifurcations the closed orbit contributions diverge. The singularities can be removed with the help of uniform semiclassical approximations which are constructed over a wide energy range for different types of codimension one and two catastrophes. Using the uniform approximations and applying the high-resolution harmonic inversion method we calculate fully resolved semiclassical photoabsorption spectra, i.e., individual eigenenergies and transition matrix elements at laboratory magnetic field strengths, and compare them with the results of exact quantum calculations.

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High-resolution laser spectroscopy of diamagnetic helium in the chaotic regime

Cited by 10 publications

References 22 publications

Scattering matrix theory for Cs Rydberg atoms in magnetic field

Scattering matrix theory for Cs Rydberg atoms in magnetic field

Experimental setup for laser spectroscopy of molecules in a high magnetic field

Photoabsorption spectra of the diamagnetic hydrogen atom in the transition regime to chaos: closed orbit theory with bifurcating orbits

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