  We introduce the transcorrelated Density Matrix Renormalization Group
(tcDMRG) theory for the efficient approximation of the energy for strongly
correlated systems. tcDMRG encodes the wave function as a product of a fixed
Jastrow or Gutzwiller correlator and a matrix product state. The latter is
optimized by applying the imaginary-time variant of time-dependent (TD) DMRG to
the non-Hermitian transcorrelated Hamiltonian. We demonstrate the efficiency of
tcDMRG at the example of the two-dimensional Fermi-Hubbard Hamiltonian, a
notoriously difficult target for the DMRG algorithm, for different sizes,
occupation numbers, and interaction strengths. We demonstrate fast energy
convergence of tcDMRG, which indicates that tcDMRG could increase the
efficiency of standard DMRG beyond quasi-monodimensional systems and provides a
generally powerful approach toward the dynamic correlation problem of DMRG.
