Long range coherent manipulation of nuclear spins in quantum Hall ferromagnet

A coherent superposition of many nuclear spin states can be prepared and manipulated via the hyperfine interaction with the electronic spins by varying the Landau level filling factor through the gate voltage in an appropriately designed quantum Hall ferromagnet. During the manipulation periods, the 2D electron system forms spatially large skyrmionic spin textures, where many nuclear spins follow locally the electron spin polarization. The collective spin rotation of a single skyrmion becoming macroscopically massive in the limit of zero Zeeman splitting, may dominate the nuclear spin relaxation and decoherence processes in the quantum well.