Extended BoseHubbard model with incompressible states at fractional numbers
Abstract
The BoseHubbard model is extended to include nearest and farneighbor 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 BoseHubbard 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.
 Authors:
 Danish Defense Research Establishment, Ryvangsalle' 1, DK2100 Copenhagen O (Denmark)
 Publication Date:
 OSTI Identifier:
 20786770
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review. A; Journal Volume: 73; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevA.73.013628; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 74 ATOMIC AND MOLECULAR PHYSICS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOSEEINSTEIN GAS; BOSONS; GROUND STATES; HALL EFFECT; HUBBARD MODEL; SUPERFLUIDITY
Citation Formats
Heiselberg, H. Extended BoseHubbard model with incompressible states at fractional numbers. United States: N. p., 2006.
Web. doi:10.1103/PHYSREVA.73.0.
Heiselberg, H. Extended BoseHubbard model with incompressible states at fractional numbers. United States. doi:10.1103/PHYSREVA.73.0.
Heiselberg, H. Sun .
"Extended BoseHubbard model with incompressible states at fractional numbers". United States.
doi:10.1103/PHYSREVA.73.0.
@article{osti_20786770,
title = {Extended BoseHubbard model with incompressible states at fractional numbers},
author = {Heiselberg, H.},
abstractNote = {The BoseHubbard model is extended to include nearest and farneighbor 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 BoseHubbard 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.},
doi = {10.1103/PHYSREVA.73.0},
journal = {Physical Review. A},
number = 1,
volume = 73,
place = {United States},
year = {Sun Jan 15 00:00:00 EST 2006},
month = {Sun Jan 15 00:00:00 EST 2006}
}
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