Dynamics of Weyl quasiparticles emerged in an optical lattice

Abstract

We investigate the dynamics of the Weyl quasiparticles emerged in an optical lattice where the topological Weyl semimental and trivial band insulator phases can be adjusted with the on-site energy. The evolution of the density distribution is demonstrated to have an anomalous velocity in Weyl semimental but a steady Zitterbewegung effect in the band insulator. Our analysis demonstrates that the topological Chern number and the chirality of the system can be directly determined from the positions of the atomic center-of-mass. Furthermore, the amplitude and the period of the relativistic Zitterbewegung oscillations are shown to be observable with the time-of-flight experiments.

5 pages, 4 figures

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Cited by in corpus (10)

• Topological quantum matter with cold atoms
• Emergent pseudospin-1 Maxwell fermions with a threefold degeneracy in optical lattices
• Chiral magnetic effect in three-dimensional optical lattices
• Topological metal bands with double-triple-point fermions in optical lattices
• Link between \emph{Zitterbewegung} and topological phase transition
• Zitterbewegung in time-reversal Weyl Semimetals
• $\text{Zitterbewegung}$ near new Dirac points in graphene superlattice
• Dynamical properties of quasiparticles in a tunable Kekulé graphene superlattice
• Dynamically Characterizing the Structures of Dirac Points via Wave Packets
• Bosonic Weyl excitations induced by $p$-orbital interactions in a cubic optical lattice