Incompressible Liquid, Stripes and Bubbles in rapidly rotating Bose atoms at $\nu=1$

We numerically study the system of rapidly rotating Bose atoms at the filling factor (ratio of particle number to vortex number) $\nu=1$ with the dipolar interaction. A moderate dipolar interaction stabilizes the incompressible quantum liquid at $\nu=1$. Further addition induces a collapse of it. The state after the collapse is a compressible state which has phases with stripes and bubbles. There are two types of bubbles with a different array. We also investigate models constructed from truncated interactions and the models with the three-body contact interaction. They also have phases with stripes and bubbles.