Quantum many-body dynamics of trapped bosons with the MCTDHB package: Towards new horizons with novel physics

Shachar Klaiman, Axel U.J. Lode, Kaspar Sakmann, Oksana I. Streltsova, Ofir E. Alon, Lorenz S. Cederbaum, Alexej I. Streltsov

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


The MCTDHB package has been applied to study the physics of trapped interacting many-boson systems by solving the underlying time-dependent (as well as the time-independent) many-boson Schrödinger equation. Here we report on four studies where novel physical ideas and phenomena have been proposed and discovered: (a) Universality of the fragmentation dynamics in double wells – at long propagation times properties of the evolving system saturate to some asymptotic values; (b) Novel many-body spectral features in trapped systems – the newly-developed linear-response theory on-top of MCTDHB predicts the existence of low-lying excitations not described so far by the standard theory even in harmonic potentials; (c) Efficient protocol to control the many-particle tunneling dynamics to open space, by combining the effects of a threshold potential and interparticle interaction; (d) Physics behind the formation of patterns in the ground states of trapped bosonic systems with strong finite- and long-range repulsive interactions and the origin of their dynamical stability. From the perspective of the required computational resources and numerical algorithms applied, each of these numerically-demanding studies has challenged different aspects of computational physics and mathematics: Long-time propagation – stability of the numerical methods used to integrate the MCTDHB equations-of-motion; Control of the tunneling dynamics – a very detailed study where an interplay of the parameters controlling the decay by tunneling dynamics is accompanied by a long-time propagation on huge spatial grids, which are needed to simulate open systems; Excited states of many-body systems – construction and diagonalization of complex non-hermitian linear-response matrices; Finite- and long-range interactions in 1D, 2D, and 3D setups – efficient methods and techniques for evaluation of involved high-dimensional integrals. Implications and further perspectives and future plans are briefly discussed and addressed.

Original languageEnglish
Title of host publicationHigh Performance Computing in Science and Engineering '14
Subtitle of host publicationTransactions of the High Performance Computing Center, Stuttgart (HLRS) 2014
PublisherSpringer International Publishing
Number of pages24
ISBN (Electronic)9783319108100
ISBN (Print)9783319108094
StatePublished - 1 Jan 2015

Bibliographical note

Publisher Copyright:
© Springer International Publishing Switzerland 2015.

ASJC Scopus subject areas

  • General Computer Science
  • General Physics and Astronomy
  • General Mathematics
  • General Chemistry


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