Simulation and Manipulation of Dirac Quasiparticles’ Dynamics in a Hexagonal Lattice

We study the dynamical properties of massless Dirac quasiparticles with ultracold atomic gases in a hexagonal lattice. The system exhibit a similar energy level to graphene, which experience Dirac cone structure. We obtain the quasiparticles center of mass by analytical analysis and numerical simulation, respectively. The visualized evolution of quasiparticles is shown with different effective energy gap and the results show there is no Zitterbewegung. Furthermore, we investigate the influence of effective speed of light and initial spinors. We find the evolution of quasiparticles wave packet is dependent on the effective speed of light rather the initial spinor. Since the purity and high tunability, the observation of interesting phenomenon predict here is espectable in cold atomic system.