Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Out-of-equilibrium dynamics of the Kitaev model on the Bethe lattice via
  coupled Heisenberg equations   The Kitaev model on the honeycomb lattice, while being integrable via the
spin-fermion mapping, has generally resisted an analytical treatment of the
far-from-equilibrium dynamics due to the extensive number of relevant
configurations of conserved charges. Here we study a close proxy of this model,
the isotropic Kitaev spin-$1/2$ model on the Bethe lattice. Instead of relying
on the spin-fermion mapping, we take a straightforward approach of solving
Heisenberg equations for a tailored subset of spin operators. The simplest
operator in this subset corresponds to the energy contribution of a single bond
direction. As an example, we calculate the time-dependent expectation value of
this observable for a factorized translation-invariant (or
staggered-translation-invariant) initial state with arbitrary initial
(staggered) polarization.

10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci