Dynamical properties of quasiparticles emerged in a nodal ring optical lattice

Highlights: • The nodal ring quasiparticle exhibits a Jellyfish-like dynamical properties. • Both intriguing Zitterbewegung effect and finite width effect have been discussed in detail. -- Abstract: The dynamics of nodal ring quasiparticles (NRQPs) has been studied in an optical lattice. By tuning the lattice parameters, one can realize a Lifshits phase transition from a nodal ring semi-metallic to a band insulating phase. For the case where the initial state is a wavepacket, an effective Hamiltonian is obtained to simulate the system's dynamics. Analytical result is explicitly derived with the effective Hamiltonian and the dynamics shows the Zitterbewegung motion. We have analyzed the effects induced by the finite width of the atomic wave packets combined with the consideration of band structure in each phase.