English: Quantum dynamics of a Davydov soliton with ${\displaystyle \chi =35}$ pN generated by an initial Gaussian step distribution of amide I energy over 3 peptide groups at the N-end of a single α-helix spine composed of 40 peptide groups (extending along the x-axis) during a period of 125 picoseconds. Quantum probabilities ${\displaystyle |a_{n}|^{2}}$ of amide I excitation are plotted in blue along the z-axis. Phonon lattice displacement differences ${\displaystyle b_{n}-b_{n-1}}$ (measured in picometers) are plotted in red along the y-axis. The soliton is formed by self-trapping of the amide I energy by the induced lattice distortion.