Extended Bose-Hubbard model with incompressible states at fractional numbers

Details Extended Bose-Hubbard model with incompressible states at fractional numbers Extended Bose-Hubbard model with incompressible states at fractional numbers

2005-10-26

arxiv.org/abs/cond-mat/0510688v2

Phys. Rev. A 73, 013628 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Revised version, to appear in PRA

Scientific paper

10.1103/PhysRevA.73.013628

The Bose-Hubbard model is extended to include nearest and far neighbor interactions and is related to the fractional quantum Hall effect (FQHE). Both models may be studied in optical lattices with quantum gases. The ground state is calculated for the extended Bose-Hubbard model with strong repulsive interactions (weak hopping). Incompressible Mott insulator states are found at rational filling fractions compatible with the principal and secondary FQHE filling fractions of the lowest Landau levels observed experimentally. It is discussed to which extent these states at fractional filling survive or undergoes a Mott insulator transition to a superfluid as hopping terms are included.

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