Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classical and quantum dissipative dynamics in Josephson junctions: an
  Arnold problem, bifurcation and capture into resonance   We theoretically study the phase dynamics in Josephson junctions, which maps
onto the oscillatory motion of a point-like particle in the washboard
potential. Under appropriate driving and damping conditions, the Josephson
phase undergoes intriguing bistable dynamics near a saddle point in the
quasienergy landscape. The bifurcation mechanism plays a critical role in
superconducting quantum circuits with relevance to non-demolition measurements
such as high-fidelity readout of qubit states. We address the question `what is
the probability of capture into either basin of attraction' and answer it
concerning both classical and quantum dynamics. Consequently, we derive the
Arnold probability and numerically analyze its implementation of the controlled
dynamical switching between two steady states under the various nonequilibrium
conditions.

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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
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The categories of this paper are: nlin
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph