  We study the coupled quantum Hall bilayers each at half-filled first excited
Landau levels with varying the layer distance. Based on numerical exact
diagonalization on torus, we identify two distinct phases separated by a
critical layer distance $d_c$. From $d_c$ to infinite layer distance, the
topological phase is smoothly connected to a direct tensor product of two
Moore-Read states, while the interlayer coherence emerges at $d<d_c$
characterized by the $xy$ easy-plane ferromagnetic energy spectra, gapless
pseudospin excitations and the finite exciton superfluid stiffness,
corresponding to the exciton superfluid state. More interestingly, the results
of the ground state fidelity, the evolution of energy spectra, and the
superfluid stiffness indicate a possible continuous transition. Theoretically
it can be interpreted as a topological phase transition which simultaneously
changes the topology of ground state and breaks symmetry, providing an
interesting example of transitions beyond Landau paradigm.
