Spin-textured neutron beams with orbital angular momentum

Le Thien, Quan; McKay, S.; Pynn, R.; Ortiz, G.

doi:10.1103/physrevb.107.134403

Title: Spin-textured neutron beams with orbital angular momentum

Journal Article · Wed Apr 05 00:00:00 EDT 2023 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.107.134403· OSTI ID:1968260

Le Thien, Quan ^[1];

^[1];

^[2];

^[1]

Indiana Univ., Bloomington, IN (United States)
Indiana Univ., Bloomington, IN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

In this work, we present a rigorous theoretical framework underpinning the technique of spin-echo modulated small-angle neutron scattering (SEMSANS), and show how the technique can be extended in order to generate spin-textured neutron beams with orbital angular momentum (OAM) via birefringent neutron spin-polarization devices known as magnetic Wollaston prisms. Neutron OAM beams are mathematically characterized by a “cork-screw” phase singularity e^iℓΦ about the propagation axis where ℓ is the OAM quantum number. To understand the precise relationship between the emergent OAM state and the variety of spin textures realized by various setups, we have developed a path-integral approach that in the interferometric limit makes a judicious use of magnetic Snell's law. We show that our proposed technique produces a complex two-dimensional pattern of spin-OAM entangled states which may be useful as a probe of quantum magnetic materials. We compare our path-integral approach to the well-known single-path Larmor precession model and present a pedagogical derivation of magnetic Snell's law of refraction for both massive and massless particles based on Maupertuis's action principle.

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Research Organization:: Indiana Univ., Bloomington, IN (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0009584

OSTI ID:: 1968260

Alternate ID(s):: OSTI ID: 1968539

Journal Information:: Physical Review. B, Vol. 107, Issue 13; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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