Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Josephson Coupled Moore-Read States   We study a quantum Hall bilayer system of bosons at total filling factor $\nu
= 1$, and study the phase that results from short ranged pair-tunneling
combined with short ranged interlayer interactions. We introduce two exactly
solvable model Hamiltonians which both yield the coupled Moore-Read state
[Phys.~Rev.~Lett.~{\bf 108}, 256809 (2012)] as a ground state, when projected
onto fixed particle numbers in each layer. One of these Hamiltonians describes
a gapped topological phase while the other is gapless. However, on introduction
of a pair tunneling term, the second system becomes gapped and develops the
same topological order as the gapped Hamiltonian. Supported by the exact
solution of the full zero-energy quasihole spectrum and a conformal field
theory approach, we develop an intuitive picture of this system as two coupled
composite fermion superconductors. In this language, pair tunneling provides a
Josephson coupling of the superconducting phases of the two layers, and gaps
out the Goldstone mode associated with particle transport between the layers.
In particular, this implies that quasiparticles are confined between the
layers. In the bulk, the resulting phase has the topological order of the
Halperin 220 phase with $U(1)_2\times U(1)_2$ topological order, but it is
realized in the symmetric/antisymmetric-basis of the layer index. Consequently,
the edge spectrum at a fixed particle number reveals an unexpected $U(1)_4
\times U(1)$ structure.

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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th