Double-slit experiment in momentum space

Иванов, И. П.; Seipt, D.; Surzhykov, A.; Fritzsche, S.

doi:10.1209/0295-5075/115/41001

Cited by 16 publications

(25 citation statements)

References 41 publications

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“…So far, only electrons with the modest kinetic energy E k = 300 keV have been produced in electron microscopes [13][14][15]. Second, one needs to achieve sufficiently large transverse momenta of the two colliding particles κ i , which define the size of the transverse momentum ring (12) and the energy range (23) in which all the remarkable phenomena are displayed. Third, one must have sufficient control over the transverse localization of the colliding twisted particles.…”

Section: Discussionmentioning

confidence: 99%

“…The final particle with mass M is still described in the basis of plane waves, and its momentum K and energy E K satisfy E 2 K = M 2 + K 2 . We follow the procedure of [8,12,23], which adapts the general theory of scattering of non-monochromatic, arbitrarily shaped, partially coherent beams developed in [24] to the collisions of Bessel twisted states, see also the appendix. The S-matrix element of this process is…”

Section: A Pure Bessel Beams: General Expressionsmentioning

confidence: 99%

“…Schematic illustration of the classic Young's experiment in coordinate space (upper image) and of the double-slit experiment in momentum space (lower image),[23]. In the latter case, the arrows show that, in the collision of two Bessel states, only two momentum combinations lead to any final plane-wave state.…”

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confidence: 99%

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Kinematic surprises in twisted-particle collisions

et al. 2020

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Twisted particles" refer to non-plane-wave states of photons, electrons, hadrons, or any other particle which carry non-zero, adjustable orbital angular momentum with respect to their average propagation direction. Twisted photons and electrons have already been experimentally demonstrated, and one can expect creation of twisted states of other particles in future. Such states can be brought in collisions, offering a completely new degree of freedom in collider experiments and, especially, a novel tool for hadronic physics. We recently showed that 2 → 1 processes with two twisted particles such as resonance production in twisted e + e − annihilation give access to observables which are difficult or impossible to probe in the usual plane-wave collisions. In this paper, we discuss in detail surprising kinematic features of this process, focusing on spinless particle annihilation. They include (1) a new dimension in the final momentum space available in twisted annihilation, (2) interference fringes emerging in the cross section as a function of the total energy, and (3) the builtin mass spectrometric capability of this process, that is, simultaneous production and automatic angular separation of several resonances with different masses in monochromatic twisted particle annihilation experiment running at fixed energy. All these features cannot be obtained in the usual plane wave collision setting.

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Section: Discussionmentioning

confidence: 99%

Section: A Pure Bessel Beams: General Expressionsmentioning

confidence: 99%

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Kinematic surprises in twisted-particle collisions

et al. 2020

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“…Recent theoretical investigations brought several examples of quantities which have been inaccessible so far, but which could be revealed in vortex-particle collisions [120,121,122,123,124]. In particular, by scattering vortex electrons on a counterpropagating particle and observing the interference fringes in their joint angular distribution, one can directly probe its OAM state [121]. This phenomenon can be employed to probe the proton spin structure.…”

Section: High-energy Perspective: Scattering and Radiationmentioning

confidence: 99%

Theory and applications of free-electron vortex states

Bliokh¹,

Иванов²,

Guzzinati³

et al. 2017

Physics Reports

311

347

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Both classical and quantum waves can form vortices: with helical phase fronts and azimuthal current densities. These features determine the intrinsic orbital angular momentum carried by localized vortex states. In the past 25 years, optical vortex beams have become an inherent part of modern optics, with many remarkable achievements and applications. In the past decade, it has been realized and demonstrated that such vortex beams or wavepackets can also appear in free electron waves, in particular, in electron microscopy. Interest in free-electron vortex states quickly spread over different areas of physics: from basic aspects of quantum mechanics, via applications for fine probing of matter (including individual atoms), to high-energy particle collision and radiation processes. Here we provide a comprehensive review of theoretical and experimental studies in this emerging field of research. We describe the main properties of electron vortex states, experimental achievements and possible applications within transmission electron microscopy, as well as the possible role of vortex electrons in relativistic and high-energy processes. We aim to provide a balanced description including a pedagogical introduction, solid theoretical basis, and a wide range of practical details. Special attention is paid to translate theoretical insights into suggestions for future experiments, in electron microscopy and beyond, in any situation where free electrons occur.

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“…It is shown that the analyses presented here applies equally well to momentum space interference of Ivanov et.al. [27], and the loss of interference in a which-way measurement can be interpreted in terms random position kicks.…”

Section: Momentum Space Interference and Position Kicksmentioning

confidence: 99%

Which-way measurement and momentum kicks

Qureshi

2018

EPL

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PACS 03.65.Ta -Foundations of quantum mechanics PACS 03.65.Ud -Entanglement and quantum nonlocality Abstract -The two-slit interference experiment with a which-way detector has been a topic of intense debate. Scientific community is divided on the question whether the particle receives a momentum kick because of the process of which-way measurement. It is shown here that the same experiment can be viewed in two different ways, depending on which basis of the whichway detector states one chooses to look at. In one view, the loss of interference arises due to the entanglement of the two paths of the particle with two orthogonal states of the which-way detector. In another view, the loss of interference can be interpreted as arising from random momentum kicks of magnitude h/2d received by the particle, d being the slit separation. The same scenario is shown to hold for a three-slit interference experiment. The random momentum kicks for the three-slit case are of two kinds, of magnitude ±h/3d. The analysis is also generalized to the case of n-slit interference. The two alternate views are described by the same quantum state, and hence are completely equivalent. The concept of "local" versus "nonlocal" kicks, much discussed in the literature, is not needed here.

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Double-slit experiment in momentum space

Cited by 16 publications

References 41 publications

Kinematic surprises in twisted-particle collisions

Kinematic surprises in twisted-particle collisions

Theory and applications of free-electron vortex states

Which-way measurement and momentum kicks

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