Fig. 5: Mechanism of quantum phase synchronization.

a Schematic diagram of symmetric (\({Q}_{s}\)) and anti-symmetric (\({Q}_{a}\)) collective coordinates with reference to a pair of Huygens pendulums. \({q}_{A}\) and \({q}_{B}\) are localized intramolecular vibrational coordinates. b The energy diagram of the exciton-vibrational dimer. \({E}_{+}\) and \({E}_{-}\) are the eigen energies of the two delocalized states under the exciton basis. c The mechanism of energy dissipation by the anti-symmetric modes via coupling to the delocalized excitonic levels with a rate constant of \({\varGamma }_{deph}\); the symmetric modes undergo dephasing by coupling to the thermal bath with a rate constant of \({\varGamma }_{th}\).