Correlation versus commensurability effects for finite bosonic systems in one-dimensional lattices

2010/05/14 by Ioannis Brouzos, Sascha Zöllner, Peter Schmelcher · 1 citation
Physics and Astronomy · #Bose–Hubbard model #Boson #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Crossover #Hubbard model #Observable #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #Statistical physics #Statistics #Strong Light-Matter Interactions #Superconductivity #Thermodynamic limit #Uncorrelated #cond-mat.quant-gas #quant-ph

paper · pdf · doi:10.1103/physreva.81.053613

published as Phys. Rev. A 81, 053613 (2010) · 16 pages, 16 figures

openalex publication_date 2010/05/14 · arxiv created 2010/05/17 · arxiv updated 2015/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We investigate few-boson systems in finite one-dimensional multiwell traps covering the full interaction crossover from uncorrelated to fermionized particles. Our treatment of the ground-state properties is based on the numerically exact multiconfigurational time-dependent Hartree method. For commensurate filling, we trace the fingerprints of localization as the interaction strength increases, in several observables like reduced-density matrices, fluctuations, and momentum distribution. For a filling factor larger than 1 we observe on-site repulsion effects in the densities and fragmentation of particles beyond the validity of the Bose-Hubbard model upon approaching the Tonks-Girardeau limit. The presence of an incommensurate fraction of particles induces incomplete localization and spatial modulations of the density profiles, taking into account the finite size of the system.

Citations

• Differences between the Tonks regimes in the continuum and on the lattice
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Cited by

• On a Fragmented Condensate in a Uniform Bose System