Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chaotic Signatures in the Spectrum of a Quantum Double Well   The spectrum of a double well constructed of a square barrier embedded in an
infinite well is analyzed. Level statistics for levels slightly above the
barrier show signs of Wigner statistics usually associated with quantum chaos.
The correspondence with Wigner statistics improves when an ensemble of systems
with slightly different barrier heights is taken, possibly reflecting an
adiabatic time-dependent modulation of the barrier.

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The categories of this paper are: math
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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
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The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
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The categories of this paper are: q-fin