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2017 ; 146
(19
): 194104
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Partial hydrodynamic representation of quantum molecular dynamics
#MMPMID28527433
Gu B
; Franco I
J Chem Phys
2017[May]; 146
(19
): 194104
PMID28527433
show ga
A hybrid method is proposed to propagate system-bath quantum dynamics that use
both basis functions and coupled quantum trajectories. In it, the bath is
represented with an ensemble of Bohmian trajectories while the system degrees of
freedom are accounted through reduced density matrices. By retaining the Hilbert
space structure for the system, the method is able to capture interference
processes that are challenging to describe in Bohmian dynamics due to
singularities that these processes introduce in the quantum potential. By
adopting quantum trajectories to represent the bath, the method beats the
exponential scaling of the computational cost with the bath size. This
combination makes the method suitable for large-scale ground and excited state
fully quantum molecular dynamics simulations. Equations of motion for the quantum
trajectories and reduced density matrices are derived from the Schrödinger
equation and a computational algorithm to solve these equations is proposed.
Through computations in two-dimensional model systems, the method is shown to
offer an accurate description of subsystem observables and of quantum
decoherence, which is difficult to obtain when the quantum nature of the bath is
ignored. The scaling of the method is demonstrated using a model with 21 degrees
of freedom. The limit of independent trajectories is recovered when the mass of
bath degrees of freedom is much larger than the one of the system, in agreement
with mixed quantum-classical descriptions.