Collective bath coordinate mapping of "hierarchy" in hierarchical equations of motion.

  title={Collective bath coordinate mapping of "hierarchy" in hierarchical equations of motion.},
  author={Tatsushi Ikeda and Akira Nakayama},
  journal={The Journal of chemical physics},
  volume={156 10},
The theory of hierarchical equations of motion (HEOM) is one of the standard methods to give exact evaluations of the dynamics as coupled to harmonic oscillator environments. However, the theory is numerically demanding due to its hierarchy, which is the set of auxiliary elements introduced to capture the non-Markovian and non-perturbative effects of environments. When system-bath coupling becomes relatively strong, the required computational resources and precision move beyond the regime that… 
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