  We study the properties of bound states in waveguide-QED systems consisting
of multiple giant atoms coupled to a coupled-resonator waveguide. Based on the
general analytical expressions for these states and the corresponding energy
spectra, we analyze in detail the threshold conditions for the appearance of
bound states and the photon-mediated interactions between dressed atoms for
different configurations. In addition, when multiple giant atoms are coupled to
the waveguide, different types of interacting atomic chain can be obtained by
manipulating the coupling configurations. Accordingly, the energy spectra of
the bound states form metaband structures in the photonic band gaps. This makes
the system a useful platform for quantum simulation and quantum information
processing.
