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

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 …

Nonlinear systems can exhibit a rich set of dynamics that are inherently sensitive to their
initial conditions. One such example is modulational instability, which is believed to be one …

Numerical simulations present an indispensable way to the understanding of complex
physical processes. In quantum mechanics where the theoretical description is given in …

The catalytic stereoselective synthesis of compounds with chiral phosphorus centers
remains an unsolved problem. State-of-the-art methods rely on resolution or stoichiometric …

Bright solitons are non-dispersive wave solutions, arising in a diverse range of nonlinear,
one-dimensional systems, including atomic Bose–Einstein condensates with attractive …

We observe the breakup dynamics of an elongated cloud of condensed Rb 85 atoms placed
in an optical waveguide. The number of localized spatial components observed in the …

We report the creation of quasi-1D excited matter-wave solitons,“breathers,” by quenching
the strength of the interactions in a Bose-Einstein condensate with attractive interactions. We …

We report on an implementation of the multiconfigurational time-dependent Hartree method
(MCTDH) for spin-polarized fermions (MCTDHF). Our approach is based on a mapping for …

The exactly solvable quantum many-particle model with harmonic one-and two-particle
interaction terms is extended to include time dependency. We show that when the external …