Numerically-exact schrödinger dynamics of closed and open many-boson systems with the MCTDHB package

Axel U.J. Lode, Kaspar Sakmann, Rostislav A. Doganov, Julian Grond, Ofir E. Alon, Alexej I. Streltsov, Lorenz S. Cederbaum

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


The quantum many-body dynamics of indistinguishable, interacting particles are described by the time-dependent many-body Schrödinger equation (TDSE). The TDSE constitutes a difficult problem and is not solvable analytically in most cases. The present review article expedites and benchmarks the capabilities of a novel theoretical method, themulticonfigurational time-dependent Hartreemethod for bosons (MCTDHB) that is designed for solving the TDSE of interacting bosonic particles. The MCTDHB package is a software implementation that solves the equations of motion of MCTDHB numerically. It is assessed with a benchmark versus an analytically treatable model of trapped interacting bosons (a closed system) that the MCTDHB is capable of solving the TDSE for bosons numerically exactly, i.e., to any desired numerical precision. Furthermore, the structure and parallelization of the MCTDHB package as well as an application to the tunneling to open space dynamics [Proc. Natl. Acad. Sci. USA, 109, 13521 (2012)] are discussed.

Original languageEnglish
Title of host publicationHigh Performance Computing in Science and Engineering '13
Subtitle of host publicationTransactions of the High Performance Computing Center, Stuttgart (HLRS) 2013
PublisherSpringer International Publishing
Number of pages12
ISBN (Electronic)9783319021652
ISBN (Print)9783319021645
StatePublished - 1 Jan 2013

Bibliographical note

Publisher Copyright:
© Springer International Publishing Switzerland 2013

ASJC Scopus subject areas

  • Computer Science (all)
  • Mathematics (all)


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