The Multi-Layer Multi-Configuration Time-Dependent Hartree Method for Bosons: Theory and Applications

POSTER

Abstract

We introduce the multi-layer multi-configuration time-dependent Hartree method for bosons (ML-MCTDHB), which represents a unique tool for investigating the nonequilibrium dynamics of multi-species bosonic systems in arbitrary dimensions. Being an ab initio method for solving the time-dependent Schr\"odinger equation, ML-MCTDHB takes all correlations into account. The multi-layer feature of ML-MCTDHB allows for tailoring the wave function ansatz in order to describe intra- and inter-species correlations accurately and efficiently. Examples are shown here to demonstrate the beneficial scaling and the efficiency of the method, especially in the study of nonequilibrium dynamics.

Authors

  • Lushuai Cao

    • Center for Optical Quantum Technologies, Hamburg University \& The Hamburg Centre for Ultrafast Imaging
  • Sven Kr\"onke

    • Center for Optical Quantum Technologies, Hamburg University \& The Hamburg Centre for Ultrafast Imaging
  • Oriol Vendrell

    • Center for Free-Electron Laser Science, DESY \&The Hamburg Centre for Ultrafast Imaging
  • Peter Schmelcher

    • Zentrum fuer Optische Quantentechnologien, Luruper Chaussee, 149, 22761, Hamburg, Germany
    • Center for Optical Quantum Technologies, Hamburg University \& The Hamburg Centre for Ultrafast Imaging
    • Zentrum fuer Optische Quantentechnologien, Universitaet Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany
    • Centre for Optical Quantum Technologies, University of Hamburg, Luruper Chaussee 149, 22761 Hamburg