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Main Authors: Falsi, Ludovica, Agostino, Giuseppe, Villois, Alberto, Coppini, Francesco, Santini, Paolo M., Onorato, Miguel, Agranat, Aharon J., Trillo, Stefano, DelRe, Eugenio
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2605.03543
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author Falsi, Ludovica
Agostino, Giuseppe
Villois, Alberto
Coppini, Francesco
Santini, Paolo M.
Onorato, Miguel
Agranat, Aharon J.
Trillo, Stefano
DelRe, Eugenio
author_facet Falsi, Ludovica
Agostino, Giuseppe
Villois, Alberto
Coppini, Francesco
Santini, Paolo M.
Onorato, Miguel
Agranat, Aharon J.
Trillo, Stefano
DelRe, Eugenio
contents In the hydrodynamic representation of a quantum fluid or optical field, vorticity vanishes wherever the phase is well defined, and is instead localized at phase singularities, or quantum vortices. Pseudovorticity, by contrast, characterizes local rotational structures, even in regions without singularities or net orbital angular momentum. We study both experimentally and numerically pseudovorticity in photorefractive solitons and show that a detailed phase and amplitude analysis unveils a complex rotational flow dynamic: bright 2+1D solitons are found to carry a pseudovorticity dipole, while quadrupoles emerge in soliton fusion. The phenomenon, also explained using geometrical considerations, suggests a general picture according to which stable high-dimensional solitons naturally carry a hierarchy of pseudovorticity multipoles, encoded in the local perturbed phase and amplitude.
format Preprint
id arxiv_https___arxiv_org_abs_2605_03543
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Pseudovorticity of 2+1D optical solitons
Falsi, Ludovica
Agostino, Giuseppe
Villois, Alberto
Coppini, Francesco
Santini, Paolo M.
Onorato, Miguel
Agranat, Aharon J.
Trillo, Stefano
DelRe, Eugenio
Optics
In the hydrodynamic representation of a quantum fluid or optical field, vorticity vanishes wherever the phase is well defined, and is instead localized at phase singularities, or quantum vortices. Pseudovorticity, by contrast, characterizes local rotational structures, even in regions without singularities or net orbital angular momentum. We study both experimentally and numerically pseudovorticity in photorefractive solitons and show that a detailed phase and amplitude analysis unveils a complex rotational flow dynamic: bright 2+1D solitons are found to carry a pseudovorticity dipole, while quadrupoles emerge in soliton fusion. The phenomenon, also explained using geometrical considerations, suggests a general picture according to which stable high-dimensional solitons naturally carry a hierarchy of pseudovorticity multipoles, encoded in the local perturbed phase and amplitude.
title Pseudovorticity of 2+1D optical solitons
topic Optics
url https://arxiv.org/abs/2605.03543