In
this paper, we discuss coupled-trajectory schemes for molecular-dynamics
simulations of excited-state processes. New coupled-trajectory strategies
to capture decoherence effects, revival of coherence and nonadiabatic
interferences in long-time dynamics are proposed, and compared to
independent-trajectory schemes. The working framework is provided
by the exact factorization of the electron–nuclear wave function,
and it exploits ideas emanating from various surface-hopping schemes.
The new coupled-trajectory algorithms are tested on a one-dimensional
two-state system using different model parameters which allow one
to induce different dynamics. The benchmark is provided by the numerically
exact solution of the time-dependent Schrödinger equation.
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