Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological Burning Glass Effect   We reveal a topological burning glass effect, where the local response of a
system exhibits a topological quantization that is enhanced by an integer due
to its environmental coupling. As a paradigmatic platform for this intriguing
phenomenon, we study a central spin that is quasiperiodically driven by two
incommensurate frequencies, and statically coupled to $N-1$ surrounding spins.
In the strong coupling regime, the adiabatic dynamics of the total system is
readily understood to imprint on the central spin an $N$-fold enhanced
topological frequency conversion between the two driving frequencies. We argue
that the topological burning glass effect is induced by the non-unitary
dynamics of the central spin coupled to the surrounding spins. Our results are
derived in the framework of adiabatic perturbation theory and fully
corroborated by exact numerical simulations.

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The categories of this paper are: cs
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The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: math