Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spin dynamics under the influence of elliptically rotating fields:
  Extracting the field topology from time-averaged quantities   We focus on quantum systems that can be effectively described as a localized
spin-$s$ particle subject to a static magnetic field coplanar to a coexisting
elliptically rotating time-periodic field. Depending on the values taken on by
the static and rotating components, the total magnetic field shows two regimes
with different topological properties. Along the boundary that separates these
two regimes, the total magnetic field vanishes periodically in time and the
system dynamics becomes highly nonadiabatic. We derive a relation between two
time-averaged quantities of the system which is linked to the topology of the
applied magnetic field. Based on this finding, we propose a measurable quantity
that has the ability to indicate the topology of the total magnetic field
without knowing a priori the value of the static component. We also propose a
possible implementation of our approach by a trapped-ion quantum system. The
results presented here are independent of the initial state of the system. In
particular, when the system is initialized in a Floquet state, we find some
interesting properties of the quasienergy spectrum which are linked to the
topological change of the total magnetic field. Throughout the paper, the
theoretical results are illustrated with numerical simulations for the case of
a two-level quantum system.

22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph