Characteristic of decoherence of a trapped ion interacted with the modulated bath;

Regular and chaotic motions of a single trapped ion interacting with a flashing ratchet potential;

Nonlinear jaynes-cummings model of a trapped ion and the evolution of the ion population inversion;

Realization of quantum game with trapped ions;

Generation of cluster states of trapped ions;

Proposes a scheme to generate a superposition of motional coherent states with ar- bitrary multiple trapped ions.

Generation of squeezed quantum states of a single trapped cold ion;

Generation of quantum controlled-NOT gates consists of sequentially applying three laser pulses to trapped cold ions.

Trapped cold ions are important candidates for building quantumcomputers in the future and provide attractive platforms to test certainfundamental laws such as quantum non-locality in quantum mechanics.