Topological atom optics and beyond with knotted quantum wavefunctions

Abstract Atom optics demonstrates optical phenomena with coherent matter waves, providing a foundational connection between light and matter. Significant advances in optics have followed the realization of structured light fields hosting complex singularities and topologically non-trivial characteri...

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Main Authors: Maitreyi Jayaseelan, Joseph D. Murphree, Justin T. Schultz, Janne Ruostekoski, Nicholas P. Bigelow
Format: Article
Language:English
Published: Nature Portfolio 2024-01-01
Series:Communications Physics
Online Access:https://doi.org/10.1038/s42005-023-01499-0
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author Maitreyi Jayaseelan
Joseph D. Murphree
Justin T. Schultz
Janne Ruostekoski
Nicholas P. Bigelow
author_facet Maitreyi Jayaseelan
Joseph D. Murphree
Justin T. Schultz
Janne Ruostekoski
Nicholas P. Bigelow
author_sort Maitreyi Jayaseelan
collection DOAJ
description Abstract Atom optics demonstrates optical phenomena with coherent matter waves, providing a foundational connection between light and matter. Significant advances in optics have followed the realization of structured light fields hosting complex singularities and topologically non-trivial characteristics. However, analogous studies are still in their infancy in the field of atom optics. Here, we investigate and experimentally create knotted quantum wavefunctions in spinor Bose–Einstein condensates which display non-trivial topologies. In our work we construct coordinated orbital and spin rotations of the atomic wavefunction, engineering a variety of discrete symmetries in the combined spin and orbital degrees of freedom. The structured wavefunctions that we create map to the surface of a torus to form torus knots, Möbius strips, and a twice-linked Solomon’s knot. In this paper we demonstrate close connections between the symmetries and underlying topologies of multicomponent atomic systems and of vector optical fields—a realization of topological atom-optics.
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spelling doaj.art-aafdbaab69584a479502a4062e3afc082024-01-07T12:29:27ZengNature PortfolioCommunications Physics2399-36502024-01-01711910.1038/s42005-023-01499-0Topological atom optics and beyond with knotted quantum wavefunctionsMaitreyi Jayaseelan0Joseph D. Murphree1Justin T. Schultz2Janne Ruostekoski3Nicholas P. Bigelow4Department of Physics and Astronomy, University of RochesterDepartment of Physics and Astronomy, University of RochesterCenter for Coherence and Quantum Optics, University of RochesterDepartment of Physics, Lancaster UniversityDepartment of Physics and Astronomy, University of RochesterAbstract Atom optics demonstrates optical phenomena with coherent matter waves, providing a foundational connection between light and matter. Significant advances in optics have followed the realization of structured light fields hosting complex singularities and topologically non-trivial characteristics. However, analogous studies are still in their infancy in the field of atom optics. Here, we investigate and experimentally create knotted quantum wavefunctions in spinor Bose–Einstein condensates which display non-trivial topologies. In our work we construct coordinated orbital and spin rotations of the atomic wavefunction, engineering a variety of discrete symmetries in the combined spin and orbital degrees of freedom. The structured wavefunctions that we create map to the surface of a torus to form torus knots, Möbius strips, and a twice-linked Solomon’s knot. In this paper we demonstrate close connections between the symmetries and underlying topologies of multicomponent atomic systems and of vector optical fields—a realization of topological atom-optics.https://doi.org/10.1038/s42005-023-01499-0
spellingShingle Maitreyi Jayaseelan
Joseph D. Murphree
Justin T. Schultz
Janne Ruostekoski
Nicholas P. Bigelow
Topological atom optics and beyond with knotted quantum wavefunctions
Communications Physics
title Topological atom optics and beyond with knotted quantum wavefunctions
title_full Topological atom optics and beyond with knotted quantum wavefunctions
title_fullStr Topological atom optics and beyond with knotted quantum wavefunctions
title_full_unstemmed Topological atom optics and beyond with knotted quantum wavefunctions
title_short Topological atom optics and beyond with knotted quantum wavefunctions
title_sort topological atom optics and beyond with knotted quantum wavefunctions
url https://doi.org/10.1038/s42005-023-01499-0
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