Two-vibron bound states in a stochastic surrounding: Quantum breather diffusion

Fast energy transfer mediated by multi-quanta bound states in a nonlinear quantum lattice

“…Therefore, the corresponding eigenstates cannot localize the energy because they must share the symmetry of the translation operator which commutes with the lattice Hamiltonian. Nevertheless, the nonlinearity is responsible for the occurrence of specific states called multi-quanta bound states [10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27]. A bound state corresponds to the trapping of several quanta over only a few neighbouring sites, with a resulting energy which is less than the energy of quanta lying far apart.…”

“…Within this model, the nonlinearity is local so that it is responsible for a strong interaction between quanta located on the same site. However, through the small polaron description of the vibrational energy flow in proteins, it has been shown recently that a nonlocal nonlinearity strongly modifies the nature of the bound states [22,23,24,25,42]. In such systems, the polaron results from the dressing of a vibrational exciton by a virtual cloud of phonons.…”