Generalized local-frame-transformation theory for excited species in external fields

Giannakeas, P.; Greene, Chris H.; Robicheaux, F.

doi:10.1103/physreva.94.013419

Cited by 15 publications

(34 citation statements)

References 31 publications

(58 reference statements)

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“…One of the most interesting results that has emerged from this study is the fact that the first excited Efimov resonance fails to intersect the dimer threshold, which is a surprising difference from the zerorange universal theories that always predict such an intersection. Our interpretation, that this failure of the resonance to intersect the threshold derives from important d-wave interactions, is consistent with findings from another recent study of this a > 0 region [65] which uses a nonlocal potential model having no d-wave physics, and which does show such an intersection. The robustness of the present prediction thus hinges critically on whether the d-wave two-body physics is tightly constrained in the way predicted by van der Waals physics in single channel potential models [29,30].…”

Section: Discussionsupporting

confidence: 79%

Efimov–van der Waals universality for ultracold atoms with positive scattering lengths

et al. 2017

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We study the universality of the three-body parameters for systems relevant for ultracold quantum gases with positive s-wave two-body scattering lengths. Our results account for finite-range effects and their universality is tested by changing the number of deeply bound diatomic states supported by our interaction model. We find that the physics controlling the values of the three-body parameters associated with the ground and excited Efimov states is constrained by a variational principle and can be strongly affected by d-wave interactions that prevent both trimer states from merging into the atom-dimer continuum. Our results enable comparisons to current experimental data and they suggest tests of universality for atomic systems with positive scattering lengths.

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Section: Discussionsupporting

confidence: 79%

Efimov–van der Waals universality for ultracold atoms with positive scattering lengths

et al. 2017

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“…(67) Therefore, in this Helmholtz region one employs locally the above mentioned frame transformation. The concept of the local frame transformation was introduced by (Fano, 1981a;Harmin, 1982a,b) and extended by (Giannakeas et al, 2016;Granger and Blume, 2004;Greene, 1987;Robicheaux et al, 2015;Wong et al, 1988;Zhang and Greene, 2013).…”

Section: Fermions In a Cigar-shaped Trapmentioning

confidence: 99%

“…In the particular case a Riemann zeta function regularization scheme is used. Note that such techniques are totally avoided in the generalized form of the local frame transformation theory (Giannakeas et al, 2016;Robicheaux et al, 2015). In addition, Eq.…”

Section: Fermions In a Cigar-shaped Trapmentioning

confidence: 99%

Universal few-body physics and cluster formation

2017

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A recent rejuvenation of experimental and theoretical interest in the physics of few- body systems has provided deep, fundamental insights into a broad range of problems. Few-body physics is a cross-cutting discipline not restricted to conventional subject ar- eas such as nuclear physics or atomic or molecular physics. To a large degree, the recent explosion of interest in this subject has been sparked by dramatic enhancements of experimental capabilities in ultracold atomic systems over the past decade, which now permit atoms and molecules to be explored deep in the quantum mechanical limit with controllable two-body interactions. This control, typically enabled by magnetic or electromagnetically-dressed Fano-Feshbach resonances, allows in particular access to the range of universal few-body physics, where two-body scattering lengths far exceed all other length scales in the problem. The Efimov effect, where 3 particles experienc- ing short-range interactions can counterintuitively exhibit an infinite number of bound or quasi-bound energy levels, is the most famous example of universality. Tremendous progress in the field of universal Efimov physics has taken off, driven particularly by a combination of experimental and theoretical studies in the past decade, and prior to the first observation in 2006, by an extensive set of theoretical studies dating back to 1970. Because experimental observations of Efimov physics have usually relied on resonances or interference phenomena in three-body recombination, this connects naturally with the processes of molecule formation in a low temperature gas of atoms or nucleons, and more generally with N-body recombination processes. Some other topics not closely related to the Efimov effect are also reviewed in this article, including ...Comment: review articl

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“…Due to the complications of the theory, the trends in the resonance linewidths are obtained by a series of calculations with slightly different field strengths. A more exact theory, based on R-matrix local frame transformation [10], has been established but we found the former one accurate enough for our purpose.…”

Section: Ionization Of Cs Rydberg Statesmentioning

confidence: 96%

“…Secondly, we experimentally study the ionization of Cs Rydberg atoms for n ≈ 25 near the classical field ionization threshold for a field strength of F ∼ 800 V/cm. Due to the large quantum defect, the coupling between the stable and unstable states is more complex, and the experimental spectrum is compared to more elaborate multi-channel quantum defect theories [9,10]. Finally we identify states that appear suitable for the production of mono-energetic ion or electron beams.…”

Section: Introductionmentioning

confidence: 99%

Forced field ionization of Rydberg states for the production of monochromatic beams

et al. 2017

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We study Rydberg ionization in an electric field in order to produce monochromatic ion and electron beams. We present an experimental study of the photoexcitation and ionization of high quantum defect states, using excitation from the 7s state in cesium to Rydberg states in the presence of a uniform electric field. Such states can exhibit complex ionization behavior, for instance, highly localized growth in the ionization rate due to interference effects. The data are well reproduced by WKB quantum-defect and frame transformation methods with no adjustable parameters. This indicates that large changes in the Rydberg ionization rate from small changes in electric field are possible when a nearly stable state crosses a more unstable state. A fast variation of the ionization rate with electric field allows for the production of beams with very low energy dispersion. We develop a simple two-level model to predict the voltage and spatial resolution that would occur when atoms are prepared in a state with such sharp ionization in electric field. This confirms that Rydberg forced ionization in an electric field presents a pathway for the production of highbrightness, highly monochromatic ion and electron beams.

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Generalized local-frame-transformation theory for excited species in external fields

Cited by 15 publications

References 31 publications

Efimov–van der Waals universality for ultracold atoms with positive scattering lengths

Efimov–van der Waals universality for ultracold atoms with positive scattering lengths

Universal few-body physics and cluster formation

Forced field ionization of Rydberg states for the production of monochromatic beams

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