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arXiv · 1212.3552

Reaching Fractional Quantum Hall States with Optical Flux Lattices

Nigel R. Cooper·Jean Dalibard
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Abstract

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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Nigel R. Cooper, Jean Dalibard. 2012-12-14. Reaching Fractional Quantum Hall States with Optical Flux Lattices. https://doi.org/10.1103/physrevlett.110.185301

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