Rainbow interference effects in heavy ion elastic scattering

Silveira, R. da

doi:10.1016/0370-2693(73)90184-6

Cited by 36 publications

(5 citation statements)

References 7 publications

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“…While most visible in optics—prototypical caustics can readily be observed with polarized, coherent light 1 , 5 – 8 —the phenomenon of caustics and the underlying catastrophe theory 9 , 10 have found far-reaching interest. For example, caustics and catastrophe theory have been discussed in the context of generic two-mode quantum systems 11 – 13 , nuclear physics 14 , general relativity 15 , social sciences 16 , and robotics 17 . Caustics have also come into the focus of studies with electron microscopes where they may be exploited for advanced imaging techniques 18 .…”

Section: Introductionmentioning

confidence: 99%

Gravitational caustics in an atom laser

et al. 2021

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Typically discussed in the context of optics, caustics are envelopes of classical trajectories (rays) where the density of states diverges, resulting in pronounced observable features such as bright points, curves, and extended networks of patterns. Here, we generate caustics in the matter waves of an atom laser, providing a striking experimental example of catastrophe theory applied to atom optics in an accelerated (gravitational) reference frame. We showcase caustics formed by individual attractive and repulsive potentials, and present an example of a network generated by multiple potentials. Exploiting internal atomic states, we demonstrate fluid-flow tracing as another tool of this flexible experimental platform. The effective gravity experienced by the atoms can be tuned with magnetic gradients, forming caustics analogous to those produced by gravitational lensing. From a more applied point of view, atom optics affords perspectives for metrology, atom interferometry, and nanofabrication. Caustics in this context may lead to quantum innovations as they are an inherently robust way of manipulating matter waves.

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Section: Introductionmentioning

confidence: 99%

Gravitational caustics in an atom laser

et al. 2021

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“…As a generic wave phenomenon, caustics also occur in quantum waves. They have long been studied in nuclear scattering [120] and more recently have been observed in electron microscopy [121], atom optics [122][123][124], and in the experiment described in reference [123] a cusp caustic was recorded in the time-dependent atom density distribution of a dilute BEC moving in a 1D optical lattice. In all these examples the matter waves are adequately described by the single-particle Schrödinger wave equation, but caustics are not limited to this case and also arise in solutions of the Gross-Pitaevskii equa-FIG.…”

Section: Introductionmentioning

confidence: 99%

Caustics in quantum many-body dynamics

Kirkby,

Yee,

Shi

et al. 2021

Preprint

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Caustics are a striking phenomena in natural optics and hydrodynamics: high-amplitude characteristic patterns that are singular in the short wavelength limit. We use exact numerical and approximate semiclassical analytic methods to study quantum versions of caustics that form in Fock space during far-from-equilibrium dynamics following a quench in the Bose Hubbard dimer and trimer models. Due to interparticle interactions, both models are nonlinear and the trimer is also nonintegrable. The caustics exhibit a hierarchy of morphologies described by catastrophe theory that are stable against perturbations and hence occur generically. The dimer case gives rise to discretized versions of folds and cusps which are the simplest two of Thom's catastrophes. The extra dimension available in the trimer case allows for higher catastrophes including the codimension-3 hyperbolic umbilic and elliptic umbilic catastrophes which we argue are organized by, and projections of, an 8-dimensional corank-2 catastrophe known as X9. These results indicate a hitherto unrecognized form of universality in quantum many-body dynamics organized by singularities.

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“…[1][2][3]21] By the way, as the classical trajectory leading to the Coulomb rainbow only grazes the nuclear surface, the Coulomb rainbow angle θ 1 is close to the grazing angle θ gr . [22] In addition, in the view of the dimension of scattering angle in the classical deflection function, for those elastic scattering products emitted in forward angles much smaller than the nuclear rainbow angle θ 2 as shown in Fig. 3, there is only the Coulomb interaction.…”

mentioning

confidence: 96%

mentioning

confidence: 99%

Angular Dispersion and Deflection Function for Heavy Ion Elastic Scattering

Bai

Wang

Han

et al. 2007

Chinese Phys. Lett.

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The differential cross sections for elastic scattering products of 17 F on 208 Pb have been measured. The angular dispersion plots of ln(dσ/dθ) versus θ 2 are obtained from the angular distribution of the elastic scattering differential cross sections. Systematical analysis on the angular dispersion for the available experimental data indicates that there is an angular dispersion turning angle at forward angular range within the grazing angle. This turning angle can be clarified as nuclear rainbow in classical deflection function. The exotic behaviour of the nuclear rainbow angle offers a new probe to investigate the halo and skin phenomena.

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Rainbow interference effects in heavy ion elastic scattering

Cited by 36 publications

References 7 publications

Gravitational caustics in an atom laser

Gravitational caustics in an atom laser

Caustics in quantum many-body dynamics

Angular Dispersion and Deflection Function for Heavy Ion Elastic Scattering

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