Fractional quantum Hall states in the vicinity of Mott plateaus

Date
2010
Authors
UmucalIlar, R. O.
Mueller, E. J.
Advisor
Instructor
Source Title
Physical Review A - Atomic, Molecular, and Optical Physics
Print ISSN
1050-2947
Electronic ISSN
Publisher
The American Physical Society
Volume
81
Issue
5
Pages
053628-1 - 053628-6
Language
English
Type
Article
Journal Title
Journal ISSN
Volume Title
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.

Course
Other identifiers
Book Title
Keywords
Configuration-interaction calculations, Fractional quantum hall effects, Fractional quantum hall state, Mott-insulating state, Optical lattices, Small systems, Variational Monte Carlo, Hall effect, Quantum theory, Magnetic field effects
Citation
Published Version (Please cite this version)