In this Colloquium, the wave-function-based multiconfigurational time-dependent Hartree
approaches to the dynamics of indistinguishable particles (MCTDH-F for fermions and …

We review the experimental realization of a single bosonic Josephson junction for ultracold
gases, which was made possible by the generation of a precisely controllable double-well …

The first book dedicated to this new and powerful computational method begins with a
comprehensive description of MCTDH and its theoretical background. There then follows a …

The evolution of Bose-Einstein condensates is amply described by the time-dependent
Gross-Pitaevskii mean-field theory which assumes all bosons to reside in a single time …

Turbulence, the complicated fluid behavior of nonlinear and statistical nature, arises in many
physical systems across various disciplines, from tiny laboratory scales to geophysical and …

This review covers the multiconfiguration time‐dependent Hartree (MCTDH) method, which
is a powerful and general algorithm for solving the time‐dependent Schrödinger equation …

An essentially exact approach to compute the wave function in the time-dependent many-
boson Schrödinger equation is derived and employed to study accurately the process of …

We develop the multi-layer multi-configuration time-dependent Hartree method for bosons
(ML-MCTDHB), a variational numerically exact ab initio method for studying the quantum …

The quantum dynamics of a one-dimensional bosonic Josephson junction is studied by
solving the time-dependent many-boson Schrödinger equation numerically exactly. Already …

We show that the successful and formally exact multiconfigurational time-dependent Hartree
method (MCTDH) takes on a unified and compact form when specified for systems of …