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We study the role of non-adiabatic Holstein electron-phonon coupling on theneutral-ionic phase transition of charge transfer crystals which can be tunedfrom continuous to discontinuous, using exact numerical diagonalization. Thevariation of electronic properties through the transition is smoothed bynonadiabaticity. Lattice properties are strongly affected, and we observe bothsqueezing and antisqueezing, depending on details of the adiabatic potentials,and identify the quantum uncertainty of the phonons as the most sensitivemeasure of nonadiabaticity. The adiabatic limit is regular for a continuoustransition but turns out completely inadequate near a discontinuous transition.The relevance of coherent state approaches is assessed critically.Comment: latex manuscript (7 pages), 3 eps figures; revised version, better  discussion, one figure replaced; to be published in Europhys. Let

Exact numerical diagonalization of one-dimensional interacting electrons non-adiabatically coupled to phonons