Topological atom optics and beyond with knotted quantum wavefunctions
- URL: http://arxiv.org/abs/2312.09619v1
- Date: Fri, 15 Dec 2023 09:02:07 GMT
- Title: Topological atom optics and beyond with knotted quantum wavefunctions
- Authors: Maitreyi Jayaseelan, Joseph D. Murphree, Justin T. Schultz, Janne
Ruostekoski, and Nicholas P. Bigelow
- Abstract summary: Atom optics demonstrates optical phenomena with coherent matter waves, providing a foundational connection between light and matter.
We create knotted quantum wavefunctions in spinor Bose-Einstein condensates which display non-trivial topologies.
In this paper we demonstrate striking connections between the symmetries and underlying topologies of multicomponent atomic systems.
- Score: 0.310688583550805
- License: http://creativecommons.org/licenses/by/4.0/
- 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 realisation 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, M\"obius strips,
and a twice-linked Solomon's knot. In this paper we demonstrate striking
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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