Lode, Axel U. J. and Bruder, Christoph. (2016) Dynamics of Hubbard Hamiltonians with the multiconfigurational time-dependent Hartree method for indistinguishable particles. Phys. Rev. A, 94 (1). 013616.
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Official URL: http://edoc.unibas.ch/52050/
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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.
Faculties and Departments: | 05 Faculty of Science > Departement Physik > Physik > Theoretische Physik (Bruder) |
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UniBasel Contributors: | Bruder, Christoph and Lode, Axel |
Item Type: | Article, refereed |
Article Subtype: | Research Article |
Publisher: | American Physical Society |
ISSN: | 2469-9926 |
e-ISSN: | 2469-9934 |
Note: | Publication type according to Uni Basel Research Database: Journal article |
Identification Number: | |
Last Modified: | 13 Feb 2017 14:33 |
Deposited On: | 13 Feb 2017 14:33 |
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