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 language | English (US) |
|---|---|
| Journal | Physical Review Letters |
| Volume | 89 |
| Issue number | 11 |
| DOIs | |
| State | Published - Jan 1 2002 |
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All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
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Mott Domains of Bosons Confined on Optical Lattices. / Batrouni, G. G.; Rousseau, V.; Scalettar, R. T.; Rigol, Marcos Antonio; Muramatsu, A.; Denteneer, P. J.H.; Troyer, M.
In: Physical Review Letters, Vol. 89, No. 11, 01.01.2002.Research output: Contribution to journal › Article
TY - JOUR
T1 - Mott Domains of Bosons Confined on Optical Lattices
AU - Batrouni, G. G.
AU - Rousseau, V.
AU - Scalettar, R. T.
AU - Rigol, Marcos Antonio
AU - Muramatsu, A.
AU - Denteneer, P. J.H.
AU - Troyer, M.
PY - 2002/1/1
Y1 - 2002/1/1
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevLett.89.117203
DO - 10.1103/PhysRevLett.89.117203
M3 - Article
AN - SCOPUS:45849154949
VL - 89
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 11
ER -