Quantum knots in Bose-Einstein condensates created by counterdiabatic control
Abstract
We study theoretically the creation of knot structures in the polar phase of spin-1 Bose-Einstein condensates using the counterdiabatic protocol in an unusual fashion. We provide an analytic solution to the evolution of the external magnetic field that is used to imprint the knots. As confirmed by our simulations using the full three-dimensional spin-1 Gross-Pitaevskii equation, our method allows for the precise control of the Hopf charge as well as the creation time of the knots. The knots with Hopf charge exceeding unity display multiple nested Hopf links.
Main Authors
Format
Articles
Research article
Published
2017
Series
Subjects
Publication in research information system
Publisher
American Physical Society
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-201801041052Käytä tätä linkitykseen.
Review status
Peer reviewed
ISSN
2469-9926
DOI
https://doi.org/10.1103/PhysRevA.96.063609
Language
English
Published in
Physical Review A
Citation
- Ollikainen, T., Masuda, S., Möttönen, M., & Nakahara, M. (2017). Quantum knots in Bose-Einstein condensates created by counterdiabatic control. Physical Review A, 96(6), Article 063609. https://doi.org/10.1103/PhysRevA.96.063609
License
Copyright© American Physical Society, 2017. Published in this repository with the kind permission of the publisher.