Superfocusing of channeled protons and crystal rainbows

Nešković, N.; Petrović, S.; Borka, D.

doi:10.1016/j.nimb.2009.05.012

Cited by 16 publications

(28 citation statements)

References 20 publications

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“…This study is the continuation of the work of Demkov and Meyer [19] and of our previous study [22]. We shall report on the superfocusing of 68 MeV protons channeled in the 100 Si thin crystal in the vicinity of the superfocusing point in the first rainbow cycle for different values of proton beam incident angle.…”

Section: Introductionmentioning

confidence: 57%

“…Following the theoretical studies of Miletić et al [20,21], those authors analyzed the spatial focusing of protons of the initial energy of 1 MeV in the 100 channel of a Si thin crystal assuming that the continuum proton-crystal interaction potential was dominantly cylindrically symmetric and harmonic. The superfocusing effect was also considered by us [22]. We treated it as the crystal rainbow effect [23,24], whose occurrence had been confirmed experimentally by Krause et al [25,26].…”

Section: Introductionmentioning

confidence: 89%

“…(1), and σ th the one-dimensional thermal vibration amplitude of the atoms [29]. Unlike in our previous study [22], we include in the calculations of the spatial distributions of channeled protons the effects of their collisions with the crystal's electrons. The specific (electronic) energy loss of the proton in the channel is taken into account via relation…”

Section: Theorymentioning

confidence: 99%

“…The analysis of the proton transmission process in question is carried out via the mapping of the impact parameter plane to the transverse position plane [22,23,33,34] for the chosen values of ϕ and reduced crystal thickness . The Jacobian of this mapping, i.e., the ratio of the infinitesimal surfaces in the transverse position plane and impact parameter plane, reads…”

Section: Theorymentioning

confidence: 99%

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Superfocusing of channeled protons and subatomic measurement resolution

et al. 2012

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In this work we analyze the superfocusing of protons channeled in a 100 Si thin crystal using the theory of crystal rainbows. The initial proton energy is 68 MeV and the proton beam incident angle is increased gradually from zero up to 30% of the critical angle for proton channeling. The reduced crystal thickness is varied around 0.250, the corresponding crystal thickness being 481.8 nm. The spatial distributions of channeled protons, obtained by the numerical solution of the proton equations of motion in the transverse position plane and a Monte Carlo computer simulation code, are explored as functions of the beam incident angle and reduced crystal thickness. They are analyzed via the corresponding mappings of the impact parameter plane to the transverse position plane, which are characterized by the rainbow effect. The performed analysis shows that it is possible to focus the beam within the region of the radius considerably below the Bohr radius. The obtained results provide the theoretical basis for the possible development of a measurement technique with the picometer resolution-the rainbow subatomic microscopy.

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Section: Introductionmentioning

confidence: 57%

Section: Introductionmentioning

confidence: 89%

Section: Theorymentioning

confidence: 99%

Section: Theorymentioning

confidence: 99%

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Superfocusing of channeled protons and subatomic measurement resolution

et al. 2012

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“…The channeled proton distributions are mapped in configuration space and angular space in two steps: to transverse position phase plane, and to scattering angle phase plane, [24], [25] in accordance with the chosen value of reduced crystal thickness, Λ and the tilt angle, φ .…”

Section: Methodsmentioning

confidence: 99%

Quantum Entanglement and Spin Control in Silicon Nanocrystal

Berec

2012

PLoS ONE

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Selective coherence control and electrically mediated exchange coupling of single electron spin between triplet and singlet states using numerically derived optimal control of proton pulses is demonstrated. We obtained spatial confinement below size of the Bohr radius for proton spin chain FWHM. Precise manipulation of individual spins and polarization of electron spin states are analyzed via proton induced emission and controlled population of energy shells in pure 29Si nanocrystal. Entangled quantum states of channeled proton trajectories are mapped in transverse and angular phase space of 29Si axial channel alignment in order to avoid transversal excitations. Proton density and proton energy as impact parameter functions are characterized in single particle density matrix via discretization of diagonal and nearest off-diagonal elements. We combined high field and low densities (1 MeV/92 nm) to create inseparable quantum state by superimposing the hyperpolarizationed proton spin chain with electron spin of 29Si. Quantum discretization of density of states (DOS) was performed by the Monte Carlo simulation method using numerical solutions of proton equations of motion. Distribution of gaussian coherent states is obtained by continuous modulation of individual spin phase and amplitude. Obtained results allow precise engineering and faithful mapping of spin states. This would provide the effective quantum key distribution (QKD) and transmission of quantum information over remote distances between quantum memory centers for scalable quantum communication network. Furthermore, obtained results give insights in application of channeled protons subatomic microscopy as a complete versatile scanning-probe system capable of both quantum engineering of charged particle states and characterization of quantum states below diffraction limit linear and in-depth resolution.PACS numbers: 03.65.Ud, 03.67.Bg, 61.85.+p, 67.30.hj

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