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We introduce the coherent state mapping ring-polymer molecular dynamics(CS-RPMD), a new method that accurately describes electronic non-adiabaticdynamics with explicit nuclear quantization. This new approach is derived byusing coherent state mapping representation for the electronic degrees offreedom (DOF) and the ring-polymer path-integral representation for the nuclearDOF. CS-RPMD Hamiltonian does not contain any inter-bead coupling term in thestate-dependent potential, which is a key feature that ensures correctelectronic Rabi oscillations. Hamilton's equation of motion is used to sampleinitial configurations and propagate the trajectories, preserving thedistribution with classical symplectic evolution. In the special one-bead limitfor mapping variables, CS-RPMD preserves the detailed balance. Numerical testsof this method with a two-state model system show a very good agreement withexact quantum results over a broad range of electronic couplings.

Coherent State Mapping Ring-Polymer Molecular Dynamics for Non-Adiabatic quantum propagations