Tree tensor network states (TTNS) decompose the system wavefunction to the product of low-
rank tensors based on the tree topology, serving as the foundation of the multi-layer multi …

This work is a pedagogical survey about the hierarchical equations of motion and their
implementation with the tensor-train format. These equations are a great standard in non …

A rank-adaptive integrator for the approximate solution of high-order tensor differential
equations by tree tensor networks is proposed and analyzed. In a recursion from the leaves …

In this paper, we develop quantum dynamical methods capable of treating the dynamics of
chemically reacting systems in an optical cavity in the vibrationally strong-coupling (VSC) …

The correlation discrete variable representation (CDVR) enables (multilayer) multi-
configurational time-dependent Hartree (MCTDH) calculations with general potentials. The …

Compared to ground-state electronic structure optimizations, accurate simulations of
molecular real-time electron dynamics are usually much more difficult to perform. To …

The multilayer multiconfiguration time-dependent Hartree (ML-MCTDH) method and the
density matrix renormalisation group (DMRG) are powerful workhorses applied mostly in …

The ultrafast quantum dynamics of photophysical processes in complex molecules is an
extremely challenging computational problem with a broad variety of fascinating …

We investigate the application of matrix product state (MPS) representations of the influence
functionals (IFs) for the calculation of real-time equilibrium correlation functions in open …

The MCTDH method is an efficient algorithm for the solution of the time-dependent
Schrödinger equation. For a full description of the theory see the review [1]. You may also …