Reduced dynamics of coupled harmonic and anharmonic oscillators using higher-order perturbation theory.

摘要: Several techniques to solve a hierarchical set of equations motion for propagating reduced density matrix coupled thermal bath have been developed in recent years. This is either done using the path integral technique as original proposal by Tanimura and Kubo [J. Phys. Soc. Jpn. 58, 101 (1998)] or use stochastic fields Yan et al. [Chem. Lett. 395, 216 (2004)]. Based on latter ansatz compact derivation hierarchy decomposition spectral function given present contribution. The method applied calculate time evolution describing harmonic, an anharmonic, two oscillators where each system bath. Calculations several orders system-bath coupling with different truncations are performed. respective matrices used various properties results compared discussed special focus convergence respect truncation scheme applied.