Quantum knots in Bose-Einstein condensates created by counterdiabatic control
Ollikainen, T., Masuda, S., Möttönen, M., & Nakahara, M. (2017). Quantum knots in Bose-Einstein condensates created by counterdiabatic control. Physical Review A, 96 (6), 063609. doi:10.1103/PhysRevA.96.063609
Published inPhysical Review A
© American Physical Society, 2017. Published in this repository with the kind permission of the publisher.
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.