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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Format: | Article |
Language: | English |
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American Physical Society
2025-06-01
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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. |
format | Article |
id | doaj-art-ac0fa236feb6422a8ffc67d0d2bc2a80 |
institution | Matheson Library |
issn | 2643-1564 |
language | English |
publishDate | 2025-06-01 |
publisher | American Physical Society |
record_format | Article |
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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