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We investigate the particle-hole pair excitations of dipolar molecules inoptical lattice, which can be described with an extended Bose-Hubbard model.For strong enough dipole-dipole interaction, the particle-hole pair excitationscan form bound states in one and two dimensions. With decreasing dipole-dipoleinteraction, the energies of the bound states increase and merge into theparticle-hole continuous spectrum gradually. The existence regions, the energyspectra and the wave functions of the bound states are carefully studied andthe symmetries of the bound states are analyzed with group theory. For a givendipole-dipole interaction, the number of bound states varies in momentum spaceand a number distribution of the bound states is illustrated. We also discusshow to observe these bound states in future experiments.

Particle-hole bound states of dipolar molecules in optical lattice