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This research explores how nonlinear Kerr media generate intrinsic effective gauge fields through spin-orbit interactions in quasi-paraxial light fluids, leading to self-consistent Lorentz forces and transverse spin Hall effects. By deriving nonparaxial corrections to the governing Schrödinger equation, the study demonstrates that these phenomena emerge naturally from Maxwell equations without external imposition, offering new insights into chiral fluid dynamics and wave packet precession.
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Spin-orbit-induced gauge field and spin Hall effects in quasi-paraxial fluids of light

arXiv2 min read

arXiv:2610.05493v1 Announce Type: cross Abstract: We show that quasi-paraxial fluids of light propagating in nonlinear Kerr media naturally experience an effective gauge field arising from the intrinsic spin-orbit interaction of light encoded in Maxwell equations. By deriving the leading nonparaxial corrections to the nonlinear Schr\"odinger equation governing the fluid evolution, we find that, for circularly polarized beams, these corrections generate an effective Lorentz force that modifies the fluid dynamics. Remarkably, the corresponding gauge field is not externally imposed but self-consistently generated by the fluid itself, with its sign controlled by the light helicity and its magnitude governed by the spatial variations of the nonlinear refractive index. We illustrate the physical consequences of this gauge field in two configurations: the chiral deformation of normal and superfluid flows past an obstacle, accompanied by a transverse spin Hall force, and the cumulative precession of an optical wave packet trapped in a focusing fluid.

Abstract:We show that quasi-paraxial fluids of light propagating in nonlinear Kerr media naturally experience an effective gauge field arising from the intrinsic spin-orbit interaction of light encoded in Maxwell equations. By deriving the leading nonparaxial corrections to the nonlinear Schrödinger equation governing the fluid evolution, we find that, for circularly polarized beams, these corrections generate an effective Lorentz force that modifies the fluid dynamics. Remarkably, the corresponding gauge field is not externally imposed but self-consistently generated by the fluid itself, with its sign controlled by the light helicity and its magnitude governed by the spatial variations of the nonlinear refractive index. We illustrate the physical consequences of this gauge field in two configurations: the chiral deformation of normal and superfluid flows past an obstacle, accompanied by a transverse spin Hall force, and the cumulative precession of an optical wave packet trapped in a focusing fluid.

Optics (physics.optics); Quantum Gases (cond-mat.quant-gas); Quantum Physics (quant-ph)

arXiv:2610.05493 [physics.optics]

(or arXiv:2610.05493v1 [physics.optics] for this version)

https://doi.org/10.48550/arXiv.2610.05493 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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Full text under the publisher's open licence · 244 words

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