Skyrmion Burst and Multiple Quantum Walk in Thin Ferromagnetic Films

Details Skyrmion Burst and Multiple Quantum Walk in Thin Ferromagnetic Films Skyrmion Burst and Multiple Quantum Walk in Thin Ferromagnetic Films

2011-02-03

arxiv.org/abs/1102.0635v2

Phys. Lett. A 375, 3610 (2011)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 3 figures

Scientific paper

10.1016/j.physleta.2011.08.030

A giant Skyrmion collapses to a singular point by emitting spin waves in a thin ferromagnetic film, when external magnetic field is increased beyond the critical one. The remnant is a single-spin flipped (SSF) point. The SSF point has a quantum diffusion dynamics governed by the Heisenberg model. We determine its time evolution and show the diffusion process is a continuous-time quantum walk. We also analyze an interference of two SSF points after two Skyrmion bursts. Quantum walks for $S=1/2$ and 1 are exact solvable. The system presents a new type of quantum walk for $S>1/2$, where a SSF point breaks into 2S quantum walkers. It is interesting that we can create quantum walkers experimentally at any points in a magnetic thin film, first by creating Skyrmions sequentially and then by letting them collapse simultaneously.

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