6533b834fe1ef96bd129e203
RESEARCH PRODUCT
Quantum knots in Bose-Einstein condensates created by counterdiabatic control
Mikko MöttönenMikko MöttönenMikio NakaharaMikio NakaharaShumpei MasudaShumpei MasudaTuomas Ollikainensubject
PhysicsCondensed Matter::Quantum GasesBose-Einstein condensateta114Condensed Matter::OtherFOS: Physical sciences01 natural sciencesMathematics::Geometric Topology010305 fluids & plasmaslaw.inventionMagnetic fieldknot structuresKnot (unit)Classical mechanicsQuantum Gases (cond-mat.quant-gas)law0103 physical sciencesPolarCondensed Matter - Quantum Gases010306 general physicsAnalytic solutionQuantumBose–Einstein condensatedescription
We theoretically study the creation of knot structures in the polar phase of spin-1 BECs 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-09-17 | Physical Review A |