2006/12/31 by Jinshuang Jin, Sven Welack, JunYan Luo +5 · 2 citations
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Quantum, superfluid, helium dynamics #Spectroscopy and Quantum Chemical Studies #cond-mat.stat-mech
paper · pdf · doi:10.1063/1.2713104
published as J. Chem. Phys. 126, 134113 (2007) · 12pages
openalex publication_date 2007/04/05 · arxiv created 2008/04/11 · arxiv updated 2009/12/01 · openalex created_date 2020/11/23 · openalex updated_date 2026/07/28
A hierarchical equations of motion formalism for a quantum dissipation system in a grand canonical bath ensemble surrounding is constructed on the basis of the calculus-on-path-integral algorithm, together with the parametrization of arbitrary non-Markovian bath that satisfies fluctuation-dissipation theorem. The influence functionals for both the fermion or boson bath interaction are found to be of the same path integral expression as the canonical bath, assuming they all satisfy the Gaussian statistics. However, the equation of motion formalism is different due to the fluctuation-dissipation theories that are distinct and used explicitly. The implications of the present work to quantum transport through molecular wires and electron transfer in complex molecular systems are discussed.