Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Simulating non-Hermitian dynamics of a multi-spin quantum system and an
  emergent central spin model   It is possible to simulate the dynamics of a single spin-$1/2$
($\mathsf{PT~}$ symmetric) system by conveniently embedding it into a subspace
of a larger Hilbert space with unitary dynamics. Our goal is to formulate a
many body generalization of this idea i.e., embedding many body non-Hermitian
dynamics. As a first step in this direction, we investigate embedding of "$N$"
non-interacting spin-$1/2$ ($\mathsf{PT~}$ symmetric) degrees of freedom,
thereby unfolding the complex nature of such an embedding procedure. It turns
out that the resulting Hermitian Hamiltonian represents a cluster of $N+1$ spin
halves with "all to all", $q$-body interaction terms ($q=1,...,N+1$) in which
the additional spin-$1/2$ is a part of the larger embedding space. We can
visualize it as a strongly correlated central spin model with the additional
spin-$1/2$ playing the role of central spin. We find that due to the
orthogonality catastrophe, even a vanishing small exchange field applied along
the anisotropy axis of the central spin leads to a strong suppression of its
decoherence arising from spin-flipping perturbations.

1
The categories of this paper are: cs
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin