Nonlinear quantum effects in electromagnetic radiation of a vortex electron

Karlovets, D. V.; Pupasov-Maksimov, Andrey M.

doi:10.1103/physreva.103.012214

Cited by 25 publications

(26 citation statements)

References 37 publications

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“…In the present work, we extend our previous studies [9,10] of the Smith-Purcell radiation induced by shaped electron wave packets. A freely moving wave packet spreads.…”

Section: Introductionsupporting

confidence: 76%

“…Our previous analytical results [9,10] highlight three observable effects related to the quadrupole moment and spreading of the wave packet. In contrast to a classical spreading beam, the spreading of the quantum wave packet does not lead to spectral line broadening.…”

Section: Introductionmentioning

confidence: 77%

“…We consider the non-paraxial regime of emission since the corresponding corrections be-come important already at moderate values of orbital angular momentum (OAM) of vortex electrons [9,11]. A vortex electron carries an orbital angular momentum with respect to the propagation axis.…”

Section: Introductionmentioning

confidence: 99%

“…• The corrections due to the finite coherence length of the emitting particle, which appear in the non-paraxial regime of emission [9].…”

Section: Introductionmentioning

confidence: 99%

“…At the same time, the maximum of the radiation intensity with respect to the polar angle is shifted towards smaller angles. The magnetic dipole moment results in a small asymmetry of azimuthal distribution both for diffraction and Smith-Purcell radiation [4,9,10]. Nevertheless, the corresponding correction stays small for Smith-Purcell radiation, and we will not consider this contribution here.…”

Section: Introductionmentioning

confidence: 99%

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The passage of a vortex electron over an inclined grating

Pupasov-Maksimov,

Karlovets

2021

Preprint

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We study Smith-Purcell radiation from a conducting grating generated by an inclined passage of a shaped electron wave packet with an electric quadrupole moment in the non-paraxial regime.Spreading of an asymmetric wave packet induces quadrupole corrections to the radiation field.Although the non-paraxial corrections stay small, they are dynamically enhanced during the interaction of the electron with the grating whose length exceeds the Rayleigh length of the packet.To simplify the possible experimental setup where such effects could be measured, we study the dependence of these effects on the inclination angle, i.e. the angle between the mean velocity of the packet and the surface of the grating. There is a minimal angle such that the multipole expansion always stays valid at the grating surface. In such a regime, the quadrupole contribution to the Smith-Purcell radiation can become the leading one, which represents a novel quantum effect impossible for classical point-like electrons. Thus, the impact of the wave-packet shape (vortex structure or non-spherical shape) can be observed experimentally by comparing the radiation for different orientations of the grating in the single-electron regime.

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“…In the present work, we extend our previous studies [9,10] of the Smith-Purcell radiation induced by shaped electron wave packets. A freely moving wave packet spreads.…”

Section: Introductionsupporting

confidence: 76%

Section: Introductionmentioning

confidence: 77%

Section: Introductionmentioning

confidence: 99%

“…• The corrections due to the finite coherence length of the emitting particle, which appear in the non-paraxial regime of emission [9].…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

The passage of a vortex electron over an inclined grating

Pupasov-Maksimov,

Karlovets

2021

Preprint

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Collapse of Superradiant Phase and Unstable Macroscopic Vacuum State in An-Optomechanical-Dual-Cavity with a Bose-Einstein Condensate

Liu

Liang

2023

Int J Theor Phys

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Based on spin-coherent-state variational method, we mainly study the multiple stable macroscopic quantum states and quantum phase transitions of a Bose-Einstein Condensate in an optomechanical dual-cavity by modulating the dual-cavity interaction and the nonlinear phonon-photon interaction. Especially, the collapse of superradiant phase can be tuned in the existing nonlinear photon-phonon interaction, but the critical quantum phase transition point or boundary hasn't been influenced. As a result, the system occurs an additional phase transition from the superradiant phase to the inversely atomic populated state. Moreover, when dual-cavity coupling interaction increases to a certain value, a new quantum phase transition from the normal phase to the inversely atomic populated state will appear. Finally, the superradiant phase completely collapses and the normal phase also collapses into an unstable macroscopic vacuum state for a strong dual-cavity coupling interaction.

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Semiclassical quantizing spatially dependent friction and anomalous diffusion

Bao²

2022

Physica A: Statistical Mechanics and its Applications

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Nonlinear quantum effects in electromagnetic radiation of a vortex electron

Cited by 25 publications

References 37 publications

The passage of a vortex electron over an inclined grating

The passage of a vortex electron over an inclined grating

Collapse of Superradiant Phase and Unstable Macroscopic Vacuum State in An-Optomechanical-Dual-Cavity with a Bose-Einstein Condensate

Semiclassical quantizing spatially dependent friction and anomalous diffusion

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