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In the present work we discuss the propagation of excitons across aone-dimensional Su-Schrieffer-Heeger lattice, which possesses both harmonicoscillations and weak quartic anharmonicities. When quantizing thesevibrational degrees of freedom we identify several phonon-conservingnonlinearities, each one with a different impact on the excitonic transport.Our analysis identifies a dominant nonlinear correction to the phonon hoppingwhich leads to a strong enhancement of exciton conduction compared to a purelylinear vibrational dynamics. Thus quartic lattice nonlinearities can beexploited to induce transitions from localized to delocalized transport, evenfor very weak amplitudes.

Exciton transport enhancement across quantum Su-Schrieffer-Heeger lattices with quartic nonlinearity