  Methods for efficient simulations of multidimensional quantum dynamics are
essential for theoretical studies of chemical systems where quantum effects are
important, such as those involving rearrangements of protons or electronic
configurations. Here, we introduce the functional tensor-train Chebyshev (FTTC)
method for rigorous nuclear quantum dynamics simulations. FTTC is essentially
the Chebyshev propagation scheme applied to the initial state, represented in
continuous analogue tensor-train format. We demonstrate the capabilities of
FTTC as applied to simulations of proton quantum dynamics in a 50-dimensional
model of hydrogen-bonded DNA base pairs.
