Excitation of knotted vortex lines in matter waves

Abstract

We study the creation of knotted ultracold matter waves in Bose-Einstein condensates via coherent two-photon Raman transitions with a $\Lambda$ level configuration. The Raman transition allows an indirect transfer of atoms from the internal state $|a⟩$ to the target state $|b⟩$ via an excited state $|e⟩$, that would be otherwise dipole-forbidden. This setup enables us to imprint three-dimensional knotted vortex lines embedded in the the probe field to the density in the target state. We elaborate on experimental feasibility as well as on subsequent dynamics of the matter wave.

References in corpus (9)

• Quantized Rotation of Atoms From Photons with Orbital Angular Momentum
• Reconfigurable knots and links in chiral nematic colloids
• XMDS2: Fast, scalable simulation of coupled stochastic partial differential equations
• Characterization of reconnecting vortices in superfluid helium
• How superfluid vortex knots untie
• Reconnection of superfluid vortex bundles
• Non-Meissner electrodynamics and knotted solitons in two-component superconductors
• Topological Excitations in Spinor Bose-Einstein Condensates
• Untangling knots via reaction-diffusion dynamics of vortex strings

Cited by in corpus (10)

• Knotting fractional-order knots with the polarization state of light
• Creating Complex Optical Longitudinal Polarization Structures
• Quantum hydrodynamics of the spinor Bose-Einstein condensate at non-zero temperatures
• An intuitive approach to structuring the three polarization components of light
• Topological transition from superuid vortex rings to isolated knots and links
• Helicity Conservation, and Twisted Seifert Surfaces for Superfluid Vortices
• Quasi-stable quantum vortex knots and links in anisotropic harmonically trapped Bose-Einstein condensates
• Linked and knotted synthetic magnetic fields
• Creation of electrical knots and observation of DNA topology
• Vortex knots on three-dimensional lattices of nonlinear oscillators coupled by space-varying links