  Using exact diagonalization of bilayer quantum Hall systems at total filling
factor $\nu_T=1$ in the torus geometry, we show that there is a new long-range
interlayer phase coherence due to spontaneous pseudospin spiral order at
interlayer distances larger than the critical value at which the pseudospin
ferromagnetic order is destroyed. We emphasize the distinction between the
interlayer phase coherence and the pseudospin ferromagnetic order.
