Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Winding in Non-Hermitian Systems   This paper extends the property of interlacing of the zeros of eigenfunctions
in Hermitian systems to the topological property of winding number in
non-Hermitian systems. Just as the number of nodes of each eigenfunction in a
self-adjoint Sturm-Liouville problem are well-ordered, so too are the winding
numbers of each eigenfunction of Hermitian and of unbroken PT-symmetric
potentials. Varying a system back and forth past an exceptional point changes
the windings of its eigenfunctions in a specific manner. Nonlinear,
higher-dimensional, and general non-Hermitian systems also exhibit
manifestations of these characteristics.

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The categories of this paper are: eess
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: nlin
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: q-bio
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The categories of this paper are: funct-an