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

Research output: Contribution to journalArticlepeer-review

268 Scopus citations

Abstract

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
Volume89
Issue number11
DOIs
StatePublished - 2002

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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