Fractional quantum Hall states in the vicinity of Mott plateaus
Author
UmucalIlar, R. O.
Mueller, E. J.
Date
2010Source Title
Physical Review A - Atomic, Molecular, and Optical Physics
Print ISSN
1050-2947
Publisher
The American Physical Society
Volume
81
Issue
5
Pages
053628-1 - 053628-6
Language
English
Type
ArticleItem Usage Stats
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Abstract
We perform variational Monte Carlo calculations to show that bosons in a rotating optical lattice will form analogs of fractional quantum Hall states when the tunneling is sufficiently weak compared to the interactions, and the deviation of density from an integer is commensurate with the effective magnetic field. We compare the energies of superfluid and correlated states to one another and to the energies found in full configuration-interaction calculations on small systems. We look at overlaps between our variational states and the exact ground state, characterizing the ways in which fractional quantum Hall effect correlations manifest themselves near the Mott insulating state. We explore the experimental signatures of these states.
Keywords
Configuration-interaction calculationsFractional quantum hall effects
Fractional quantum hall state
Mott-insulating state
Optical lattices
Small systems
Variational Monte Carlo
Hall effect
Quantum theory
Magnetic field effects