  It is proposed to improve the quality of a variational description of a
closed quantum system by adding ficticious dissipation that reduces the
entanglement. The proposal is implemented for a small Bose-Hubbard chain, which
shows chaotic behavior and associated fast growth of quantum fluctuations. For
appropriately chosen dissipation, good agreement with the truncated Wigner
approximation (which is very accurate for the chosen system parameters) is
found.
