Spreading of entanglement and steering along small Bose-Hubbard chains

摘要: We investigate how entanglement spreads along small Bose-Hubbard chains, with only the first well initially occupied by a mesoscopic number of atoms, as sites increases. For two- and three-well chains in noninteracting case, we are able to obtain analytical solutions show that presence depends on having sub-Poissonian state atoms well. In these cases, correlations calculate completely periodic. Restoring collisional interactions or moving four-well chain necessitates numerical treatment, for which use fully quantum positive-P representation. examine two different find adding destroys periodicity causes them degrade time. This happens before there is noticeable effect each