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Hu, Xi-Dan; Huang, Yu-Lei; Shen, Xin; Liao, Kai-Yu; Li, Zhi

Dynamical properties of quasiparticles emerged in a nodal ring optical lattice. (English) Zbl 1479.82079

Phys. Lett., A 383, No. 34, Article ID 125982, 6 p. (2019).
Summary: 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.

MSC:

82D35 Statistical mechanics of metals
82C20 Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics
82C26 Dynamic and nonequilibrium phase transitions (general) in statistical mechanics
81T25 Quantum field theory on lattices

Keywords:

ultracold atomic gases; nodal ring semimetal; quantum simulation; wavepacket dynamics; Zitterbewegung
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