A bosonic perspective on the classical mapping of fermionic quantum dynamics

We consider the application of original Meyer–Miller (MM) Hamiltonian to mapping fermionic quantum dynamics classical equations motion. Non-interacting and bosonic systems share same one-body density when evolving from initial many-body state. The MM is exact for non-interacting bosons, therefore, it yields time-dependent fermions as well. Starting this observation, compared different mappings specific systems, namely, spin with without including a Jordan–Wigner transformation Li–Miller (LMM). For inclusion anti-symmetry through transform does not lead any improvement in performance mappings, instead, worsens description. an interacting impurity model models excitonic energy transfer, LMM perform similarly, some cases, former outperforms latter full are able capture interference effects, both constructive destructive, that originate equivalent transfer pathways models.