title: Hubbard Model for Atomic Impurities Bound by the Vortex Lattice of a Rotating Bose-Einstein Condensate.
abstract: We investigate cold bosonic impurity atoms trapped in a vortex lattice formed by condensed bosons of another species. We describe the dynamics of the impurities by a bosonic Hubbard model containing occupation-dependent parameters to capture the effects of strong impurity-impurity interactions. These include both a repulsive direct interaction and an attractive effective interaction mediated by the Bose-Einstein condensate. The occupation dependence of these two competing interactions drastically affects the Hubbard model phase diagram, including causing the disappearance of some Mott lobes.
authors.affiliation: Centre for Quantum Technologies, National University of Singapore, 117543 Singapore.|Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU, United Kingdom.|Keble College, University of Oxford, Parks Road, Oxford OX1 3PG, United Kingdom.
authors.forename: T H
authors.initials: TH
authors.lastname: Johnson
authors.affiliation: Beijing Computational Science Research Center, Beijing 100094, China.|Department of Mathematics, National University of Singapore, 119076 Singapore.|College of Mathematics and Computer Science, Synthetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha, Hunan Province 410081, China.
authors.forename: Y
authors.initials: Y
authors.lastname: Yuan
authors.affiliation: Department of Mathematics, National University of Singapore, 119076 Singapore.
authors.forename: W
authors.initials: W
authors.lastname: Bao
authors.affiliation: Keble College, University of Oxford, Parks Road, Oxford OX1 3PG, United Kingdom.|Department of Physics, University of Bath, Claverton Down, Bath BA2 7AY, United Kingdom.
authors.forename: S R
authors.initials: SR
authors.lastname: Clark
authors.affiliation: Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU, United Kingdom.
authors.forename: C
authors.initials: C
authors.lastname: Foot
authors.affiliation: Centre for Quantum Technologies, National University of Singapore, 117543 Singapore.|Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU, United Kingdom.|Keble College, University of Oxford, Parks Road, Oxford OX1 3PG, United Kingdom.
authors.forename: D
authors.initials: D
authors.lastname: Jaksch