Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Emergent parametric resonances and time-crystal phases in driven BCS
  systems   We study the out-of-equilibrium dynamics of a Bardeen-Cooper-Schrieffer
condensate subject to a periodic drive. We demonstrate that the combined effect
of drive and interactions results in emerging parametric resonances, analogous
to a vertically driving pendulum. In particular, Arnold tongues appear when the
driving frequency matches $2\Delta_0/n$, with $n$ a natural number, and
$\Delta_0$ the equilibrium gap parameter. Inside the Arnold tongues we find a
commensurate time-crystal condensate which retains the $U(1)$ symmetry breaking
of the parent superfluid/superconducting phase and shows an additional
time-translational symmetry breaking. Outside these tongues, the synchronized
collective Higgs mode found in quench protocols is stabilized without the need
of a strong perturbation. Our results are directly relevant to cold-atom and
condensed-matter systems and do not require very long energy relaxation times
to be observed.

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The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
1
The categories of this paper are: cs
2
The categories of this paper are: math
37
The categories of this paper are: supr-con
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The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph