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Dynamics of Hubbard Hamiltonians with the multiconfigurational time-dependent Hartree method for indistinguishable particles
JournalArticle (Originalarbeit in einer wissenschaftlichen Zeitschrift)
 
ID 3696581
Author(s) Lode, Axel U. J.; Bruder, Christoph
Author(s) at UniBasel Bruder, Christoph
Lode, Axel
Year 2016
Title Dynamics of Hubbard Hamiltonians with the multiconfigurational time-dependent Hartree method for indistinguishable particles
Journal Phys. Rev. A
Volume 94
Number 1
Pages / Article-Number 013616
Abstract We apply the multiconfigurational time-dependent Hartree method for indistinguishable particles (MCTDH-X) to systems of bosons or fermions in lattices described by Hubbard-type Hamiltonians with long-range or short-range interparticle interactions. The wave function is expanded in a variationally optimized time-dependent many-body basis generated by a set of effective creation operators that are related to the original particle creation operators by a time-dependent unitary transform. We use the time-dependent variational principle for the coefficients of this transform and the expansion coefficients of the wave function expressed in the time-dependent many-body basis as variational parameters to derive equations of motion. The convergence of MCTDH-X is shown by comparing its results to the exact diagonalization of one-, two-, and three-dimensional lattices filled with bosons with contact interactions. We use MCTDH-X to study the buildup of correlations in the long-time splitting dynamics of a Bose-Einstein condensate loaded into a large two-dimensional lattice subject to a barrier that is ramped up in the center. We find that the system is split into two parts with emergent time-dependent correlations that depend on the ramping time-for most barrier-raising times the system becomes twofold fragmented, but for some of the very fast ramps, the system shows revivals of coherence.
Publisher American Physical Society
ISSN/ISBN 2469-9926 ; 2469-9934
edoc-URL http://edoc.unibas.ch/52050/
Full Text on edoc No
Digital Object Identifier DOI 10.1103/PhysRevA.94.013616
ISI-Number 000380096200006
Document type (ISI) Article
 
   

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