Mott Domains of Bosons Confined on Optical Lattices

G. G. Batrouni, V. Rousseau, R. T. Scalettar, M. Rigol, A. Muramatsu, P. J.H. Denteneer, M. Troyer

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In the absence of a confining potential, the boson-Hubbard model exhibits a superfluid to Mott insulator quantum phase transition at commensurate fillings and strong coupling. We use quantum Monte Carlo simulations to study the ground state of the one-dimensional bosonic Hubbard model in a trap. Some, but not all, aspects of the Mott insulating phase persist. Mott behavior occurs for a continuous range of incommensurate fillings, very different from the unconfined case, and the establishment of the Mott phase does not proceed via a traditional quantum phase transition. These results have important implications for interpreting experiments on ultracold atoms on optical lattices.

Original languageEnglish (US)
JournalPhysical Review Letters
Issue number11
StatePublished - Jan 1 2002


All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Batrouni, G. G., Rousseau, V., Scalettar, R. T., Rigol, M., Muramatsu, A., Denteneer, P. J. H., & Troyer, M. (2002). Mott Domains of Bosons Confined on Optical Lattices. Physical Review Letters, 89(11).