  We develop a theory that accurately evaluates quantum phases with any
large-scale emergent structures including incommensurate density waves or
topological textures without {\it a priori} knowing their periodicity. We
spatially deform a real-space mean-field Hamiltonian on a finite-size cluster
using a sine-squared envelope function with zero energy at system edges. The
wave functions become insensitive to the misfit of the lattice and ordering
periods. We successfully extract the ordering wave vectors by our deformed
Fourier transformation, updating the previous results for hole-doped and
spin-orbit coupled Mott insulators. The method further enables the evaluation
of a charge gap beyond the mean-field level.
