Journal Article

FZJ-2023-05078

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Quantum mechanical derivation of radio-frequency-driven coherent beam oscillations in storage rings

Slim, J. ; Nikolaev, N. N. ; Rathmann, F. (Corresponding author)FZJ* ; Wirzba, A.FZJ*

2023
American Physical Society College Park, MD

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Please use a persistent id in citations: doi:10.1103/PhysRevAccelBeams.26.014201  doi:10.34734/FZJ-2023-05078

Abstract: The study of the approach to the quantum ground state and the possibility to detect displacements of macroscopic bodies close to the quantum limit represent pressing challenges in modern physics. In the recent experiment of the JEDI Collaboration at the COSY storage ring, the coherent oscillations of a deuteron beam were detected with an amplitude of only one order of magnitude above the limit of the Heisenberg uncertainty principle of about 40 nm for the one-particle betatron motion. On the other hand, the much discussed search for the permanent electric dipole moment of the proton with an ultimate sensitivity of 10−29  e cm requires control of the position of the beam center of gravity with an accuracy of ≈5  pm. In this paper, we develop the full quantum mechanical treatment of the coherent beam oscillations with ultrasmall amplitudes. In agreement with the Ehrenfest theorem, we find a continuity of the description of the coherent betatron motion from the large classical amplitudes down to the deep quantum region below the one-particle Heisenberg limit. We argue that quantum mechanics does not preclude control of the beam center with subpicometer accuracy.

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Contributing Institute(s):

1. Experimentelle Hadrondynamik (IKP-2)
2. Theorie der Starken Wechselwirkung (IAS-4)
3. Theorie der starken Wechselwirkung (IKP-3)

Research Program(s):

1. 612 - Cosmic Matter in the Laboratory (POF4-612) (POF4-612)
2. 5111 - Domain-Specific Simulation & Data Life Cycle Labs (SDLs) and Research Groups (POF4-511) (POF4-511)
3. srEDM - Search for electric dipole moments using storage rings (694340) (694340)

Experiment(s):

1. Jülich Electric Dipole moment Investigations

Appears in the scientific report 2023

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Database coverage:
; ; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; DOAJ Seal ; IF < 5 ; JCR ; SCOPUS ; Web of Science Core Collection

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