Variational approach to the optimized phonon technique for electron-phonon problems

An optimized phonon approach for the numerical diagonalization of interacting electron-phonon systems is
proposed. The variational method is based on an expansion in coherent states that leads to a dramatic truncation in the phonon space. The reliability of the approach is demonstrated for the extended Holstein model
showing that different types of lattice distortions are present at intermediate electron-phonon couplings as
observed in strongly correlated systems. The connection with the density matrix renormalization group is
discussed.