Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Breaking the integrability of the Heisenberg model through periodic
  driving   We study the fate of interacting quantum systems which are periodically
driven by switching back and forth between two integrable Hamiltonians. This
provides an unconventional and tunable way of breaking integrability, in the
sense that the stroboscopic time evolution will generally be described by a
Floquet Hamiltonian which progressively becomes less integrable as the driving
frequency is reduced. Here, we exemplify this idea in spin chains subjected to
periodic switching between two integrable anisotropic Heisenberg Hamiltonians.
We distinguish the integrability-breaking effects of resonant interactions and
perturbative (local) interactions, and illustrate these by contrasting
different measures of energy in Floquet states and through a study of level
spacing statistics. This scenario is argued to be representative for general
driven interacting integrable systems.

23
The categories of this paper are: solv-int
2
The categories of this paper are: math
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci