2014/12/11 by G. Mazzarella, Giovanni Mazzarella, Vittorio Penna · 5 citations
Mathematics · Physics and Astronomy · #Boson #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Delocalized electron #Dipole #Ground state #Hamiltonian (control theory) #Mathematics #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #Strong Light-Matter Interactions #cond-mat.quant-gas #k-nearest neighbors algorithm #quant-ph
paper · pdf · doi:10.1088/0953-4075/48/6/065001
published in Journal of Physics B Atomic Molecular and Optical Physics 48(6), 065001 (IOP Publishing) · 18 pages, 3 figures
arxiv created 2014/12/11 · openalex publication_date 2015/03/04 · arxiv updated 2015/03/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We study interacting dipolar atomic bosons in a four-well potential within a ring geometry and outline how a four-site Bose–Hubbard (BH) model including next–nearest–neighbor interaction terms can be derived for the above four-well system. We analyze the ground state of dipolar bosons by varying the strength of the (effective) interaction between particles in next–nearest-neighbor wells. We perform this analysis both numerically and analytically by reformulating the dipolar-boson model within the continuous variable picture applied in Buonsante et al (2011 Phys. Rev. A 84 061601(R)) . By using this approach we show that when the (effective) next-nearest–neighbor interaction crosses a precise value of the on-site interaction, the ground state exhibits a change from the uniform state (pertaining to the delocalization regime) to a macroscopic two-pulse state, with strongly localized bosons (localization regime). These predictions are confirmed by the results obtained by diagonalizing numerically the four-site extended BH Hamiltonian.