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2012

Reaching Fractional Quantum Hall States with Optical Flux Lattices

Cooper, Nigel R., Dalibard, Jean

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We present a robust scheme by which fractional quantum Hall states of bosons can be achieved for ultracold atomic gases.

We describe a new form of optical flux lattice, suitable for commonly used atomic species with groundstate angular momentum $J_g = 1$, for which the lowest energy band is topological and nearly dispersionless.
Through exact diagonalization studies, we show that, even for moderate interactions, the many-body groundstates consist of bosonic fractional quantum Hall states, including the Laughlin state and the Moore-Read (Pfaffian) state.
Under realistic conditions, these phases are shown to have energy gaps that are larger than temperature scales achievable in ultracold gases.

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