Generalized Gouy rotation of electron vortex beams in uniform magnetic fields

The intrinsic rotation of electron vortex beams, governed by their phase structure, has been experimentally observed in magnetic fields by breaking the beam's cylindrical symmetry. However, conventional Landau states, which predict three fixed angular frequencies, cannot fully account for the e...

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Main Authors: Qi Meng, Xuan Liu, Wei Ma, Zhen Yang, Liang Lu, Alexander J. Silenko, Pengming Zhang, Liping Zou
Format: Article
Language:English
Published: American Physical Society 2025-06-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/8jrx-p9rz
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author Qi Meng
Xuan Liu
Wei Ma
Zhen Yang
Liang Lu
Alexander J. Silenko
Pengming Zhang
Liping Zou
author_facet Qi Meng
Xuan Liu
Wei Ma
Zhen Yang
Liang Lu
Alexander J. Silenko
Pengming Zhang
Liping Zou
author_sort Qi Meng
collection DOAJ
description The intrinsic rotation of electron vortex beams, governed by their phase structure, has been experimentally observed in magnetic fields by breaking the beam's cylindrical symmetry. However, conventional Landau states, which predict three fixed angular frequencies, cannot fully account for the existing experimental observations. To address this limitation, we introduce and derive the generalized Gouy rotation angle, which links the Gouy phase of an extended Landau state—featuring a periodically oscillating beam width—to the experimentally observed angular variation. In particular, this framework predicts a broader spectrum of angular frequencies and captures the reversal of rotation direction observed in electron vortex beams with negative topological charge. Calculations based on experimental parameters show good agreement with previously published data and are further validated here by numerical simulations using the Chebyshev method. Our results are, in principle, applicable to any system involving electron vortex beams in uniform magnetic fields, and provide a foundation for exploring vortex electrons in Glaser and other nonuniform magnetic fields.
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publishDate 2025-06-01
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series Physical Review Research
spelling doaj-art-ac0fa236feb6422a8ffc67d0d2bc2a802025-06-26T16:40:35ZengAmerican Physical SocietyPhysical Review Research2643-15642025-06-017202330610.1103/8jrx-p9rzGeneralized Gouy rotation of electron vortex beams in uniform magnetic fieldsQi MengXuan LiuWei MaZhen YangLiang LuAlexander J. SilenkoPengming ZhangLiping ZouThe intrinsic rotation of electron vortex beams, governed by their phase structure, has been experimentally observed in magnetic fields by breaking the beam's cylindrical symmetry. However, conventional Landau states, which predict three fixed angular frequencies, cannot fully account for the existing experimental observations. To address this limitation, we introduce and derive the generalized Gouy rotation angle, which links the Gouy phase of an extended Landau state—featuring a periodically oscillating beam width—to the experimentally observed angular variation. In particular, this framework predicts a broader spectrum of angular frequencies and captures the reversal of rotation direction observed in electron vortex beams with negative topological charge. Calculations based on experimental parameters show good agreement with previously published data and are further validated here by numerical simulations using the Chebyshev method. Our results are, in principle, applicable to any system involving electron vortex beams in uniform magnetic fields, and provide a foundation for exploring vortex electrons in Glaser and other nonuniform magnetic fields.http://doi.org/10.1103/8jrx-p9rz
spellingShingle Qi Meng
Xuan Liu
Wei Ma
Zhen Yang
Liang Lu
Alexander J. Silenko
Pengming Zhang
Liping Zou
Generalized Gouy rotation of electron vortex beams in uniform magnetic fields
Physical Review Research
title Generalized Gouy rotation of electron vortex beams in uniform magnetic fields
title_full Generalized Gouy rotation of electron vortex beams in uniform magnetic fields
title_fullStr Generalized Gouy rotation of electron vortex beams in uniform magnetic fields
title_full_unstemmed Generalized Gouy rotation of electron vortex beams in uniform magnetic fields
title_short Generalized Gouy rotation of electron vortex beams in uniform magnetic fields
title_sort generalized gouy rotation of electron vortex beams in uniform magnetic fields
url http://doi.org/10.1103/8jrx-p9rz
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