Fractional quantum Hall states in the vicinity of Mott plateaus

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...

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Bibliographic Details
Published in:Physical review. A, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2010-05, Vol.81 (5), Article 053628
Main Authors: Umucalılar, R. O., Mueller, Erich J.
Format: Article
Language:English
Subjects:
BOSONS
CALCULATION METHODS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
COMPARATIVE EVALUATIONS
CONFIGURATION INTERACTION
CORRELATIONS
ENERGY LEVELS
EVALUATION
GROUND STATES
HALL EFFECT
INTERACTIONS
MAGNETIC FIELDS
MONTE CARLO METHOD
SUPERFLUIDITY
TUNNEL EFFECT
VARIATIONAL METHODS
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Summary: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.
ISSN:1050-2947
1094-1622
DOI:10.1103/PhysRevA.81.053628