Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Hall-like effect for cold atoms in non-Abelian gauge potentials   We study the transport of cold fermionic atoms trapped in optical lattices in
the presence of artificial Abelian or non-Abelian gauge potentials. Such
external potentials can be created in optical lattices in which atom tunneling
is laser assisted and described by commutative or non-commutative tunneling
operators. We show that the Hall-like transverse conductivity of such systems
is quantized by relating the transverse conductivity to topological invariants
known as Chern numbers. We show that this quantization is robust in non-Abelian
potentials. The different integer values of this conductivity are explicitly
computed for a specific non-Abelian system which leads to a fractal phase
diagram.

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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
1
The categories of this paper are: cs
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
2
The categories of this paper are: math
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-th
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The categories of this paper are: atom-ph
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The categories of this paper are: cmp-lg