2012/10/31 by Ioannis Brouzos, I Brouzos, Fotios K. Diakonos +3 · 3 citations
Physics and Astronomy · #Boson #Cold Atom Physics and Bose-Einstein Condensates #Crossover #Harmonic #Harmonic oscillator #Monte Carlo method #Quantum #Quantum Monte Carlo #Quantum many-body systems #Quantum, superfluid, helium dynamics #Uncorrelated #cond-mat.quant-gas #quant-ph
paper · pdf · doi:10.1088/0953-4075/46/4/045001
published in Journal of Physics B Atomic Molecular and Optical Physics 46(4), 045001 (IOP Publishing) · 9 pages, 4 figures
arxiv created 2012/12/01 · openalex publication_date 2013/01/29 · arxiv updated 2015/06/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study the crossover of a finite one-dimensional bosonic ensemble from weak to strong interactions in harmonic traps and multi-well potentials. We perform diffusion quantum Monte Carlo calculations which we show to be in good agreement with results from analytical functions that we construct to describe these systems. For the harmonic trap, we use the correlated-pair wavefunction which we introduced in Brouzos and Schmelcher (2012 Phys. Rev. Lett. 108 045301) considering here much larger atom numbers, going beyond the few body ensembles studied in our previous work. We also investigate double and triple wells, changing correspondingly the uncorrelated part of the ansatz to describe efficiently the single-particle behaviour. On-site effects beyond mean-field and standard Bose–Hubbard calculations that appear in densities being captured by our analytical functions are explored.