Nonclassical Field States in Quantum Optics and Particle Physics

Dodonov, V. V.; Dremin, I.; Манько, О. В.; Man’ko, Vladimir I.; Polynkin, Pavel

doi:10.1007/bf03380143

Cited by 7 publications

(7 citation statements)

References 71 publications

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“…For hadronic beams, however, the corresponding contribution seems to be several orders of magnitude smaller. On the other hand, quantum interference can also play a role in describing final jets in hadronic collisions [16], which is yet to be studied in more detail.…”

Section: Resultsmentioning

confidence: 99%

“…The asymmetry can reveal itself, say, in ee, e + e − , pp, or pp collisions (see also [15,16]), and it can be measured, for instance, by taking two electron beams, each focused to a spot of 0.1 nm, as in the Refs. [17,18], and colliding them slightly off-center at an impact parameter of b ∼ σ x .…”

Section: Corrections To the Plane-wave Cross Sectionmentioning

confidence: 99%

“…Possible applications of these states to the hadronic physics have been discussed in Refs. [5,15,16].…”

Section: Introductionmentioning

confidence: 99%

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Quantum scattering beyond the plane-wave approximation

Karlovets

2017

J. Phys.: Conf. Ser.

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Abstract. While a plane-wave approximation in high-energy physics works well in a majority of practical cases, it becomes inapplicable for scattering of the vortex particles carrying orbital angular momentum, of Airy beams, of the so-called Schrödinger cat states, and their generalizations. Such quantum states of photons, electrons and neutrons have been generated experimentally in recent years, opening up new perspectives in quantum optics, electron microscopy, particle physics, and so forth. Here we discuss the non-plane-wave effects in scattering brought about by the novel quantum numbers of these wave packets. For the well-focused electrons of intermediate energies, already available at electron microscopes, the corresponding contribution can surpass that of the radiative corrections. Moreover, collisions of the cat-like superpositions of such focused beams with atoms allow one to probe effects of the quantum interference, which have never played any role in particle scattering.

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Section: Resultsmentioning

confidence: 99%

Section: Corrections To the Plane-wave Cross Sectionmentioning

confidence: 99%

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Quantum scattering beyond the plane-wave approximation

Karlovets

2017

J. Phys.: Conf. Ser.

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“…-The conventional scattering theory deals with the wave packets whose width in momentum space is vanishingly small and their spatial extent is much larger than that of a target. In high-energy physics there are very few examples in which this planewave approximation fails to work, see [1][2][3][4][5][6][7][8], while lowenergy scattering with subnanometer-sized beams of the modern electron microscopes can be described within a paraxial (akin to WKB) framework [8][9][10]. Neglect of the transverse coherence effects led to significant discrepancies between the theory and experiments in ion-atom collisions, resolved by using the Gaussian packets [11,12].…”

mentioning

confidence: 99%

“…In high-energy physics, scattering of the states with the not-everywhere positive Wigner functions can become a useful tool for probing phases of the scattering amplitudes (cf. [4,7,8]). Along with the Schrödinger cats, such beams may include coherent superpositions of the vortex electrons and neutrons, of the Airy beams [29], and other non-Gaussian matter waves.…”

mentioning

confidence: 99%

Possibility to Probe Negative Values of a Wigner Function in Scattering of a Coherent Superposition of Electronic Wave Packets by Atoms

Karlovets

Serbo

2017

Phys. Rev. Lett.

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Within a plane-wave approximation in scattering, an incoming wave packet's Wigner function stays everywhere positive, which obscures such purely quantum phenomena as non-locality and entanglement. With the advent of the electron microscopes with subnanometer-sized beams one can enter a genuinely quantum regime where the latter effects become only moderately attenuated. Here we show how to probe negative values of the Wigner function in scattering of a coherent superposition of two Gaussian packets with a non-vanishing impact-parameter between them (a Schrödinger's cat state) by atomic targets. For hydrogen in the ground 1s state, a small parameter of the problem, a ratio a/σ ⊥ of the Bohr radius a to the beam width σ ⊥ , is no longer vanishing. We predict an azimuthal asymmetry of the scattered electrons, which is found to be up to 10% and argue that it can be reliably detected. Production of beams with the not-everywhere positive Wigner functions and probing such quantum effects can open new perspectives for non-invasive electron microscopy, quantum tomography, particle physics, etc.

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Squeezed states and uncertainty relations since 1991

Dodonov

Man’ko

et al. 2007

J Russ Laser Res

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Nonclassical Field States in Quantum Optics and Particle Physics

Cited by 7 publications

References 71 publications

Quantum scattering beyond the plane-wave approximation

Quantum scattering beyond the plane-wave approximation

Possibility to Probe Negative Values of a Wigner Function in Scattering of a Coherent Superposition of Electronic Wave Packets by Atoms

Squeezed states and uncertainty relations since 1991

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