  Ultracold atoms in optical lattices are a powerful tool for quantum
simulation, precise measurement, and quantum computation. A fundamental problem
in applying this quantum system is how to manipulate the higher bands or
orbitals in Bloch states effectively. Here we mainly review our methods for
manipulating high orbital ultracold atoms in optical lattices with different
configurations. Based on these methods, we construct the atom-orbital qubit
under nonadiabatic holonomic quantum control and Ramsey interferometry with
trapped motional quantum states. Then we review the observation of the novel
quantum states and the study of the dynamical evolution of the high orbital
atoms in optical lattices. The effective manipulation of the high orbitals
provides strong support for applying ultracold atoms in the optical lattice in
many fields.
