  We study the spatial inhomogeneity of the Polyakov loop induced by
inhomogeneous chiral condensates. We formulate an effective model of gluons on
the background fields of chiral condensates, and perform its lattice
simulation. On the background of inhomogeneous chiral condensates, the Polyakov
loop exhibits an in-phase spatial oscillation with the chiral condensates. We
also analyze the heavy quark potential and show that the inhomogeneous Polyakov
loop indicates the inhomogeneous confinement of heavy quarks.
