2015/07/30 by M. K. Olsen · 29 citations
Computer Science · Physics and Astronomy · #Bose–Hubbard model #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Hubbard model #Interference (communication) #Mesoscopic physics #Physics #Quantum #Quantum Information and Cryptography #Quantum entanglement #Quantum mechanics #Representation (politics) #Statistical physics #Strong Light-Matter Interactions #quant-ph
paper · pdf · doi:10.1103/physreva.92.033627
published in Physical Review A 92(3) (American Physical Society) · 25 pages, 13 figures
arxiv created 2015/07/30 · openalex publication_date 2015/09/28 · arxiv updated 2015/10/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate how entanglement spreads along small Bose-Hubbard chains, with only the first well initially occupied by a mesoscopic number of atoms, as the number of sites increases. For two- and three-well chains in the noninteracting case, we are able to obtain analytical solutions and show that the presence of entanglement depends on having a sub-Poissonian state of the atoms in the first well. In these cases, the correlations we calculate are completely periodic. Restoring the collisional interactions or moving to a four-well chain necessitates a numerical treatment, for which we use the fully quantum positive-P representation. We examine two different correlations and find that adding collisional interactions destroys the periodicity of the correlations and causes them to degrade with time. This happens well before there is a noticeable effect on the periodicity of the solutions for the number of atoms in each well.