Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical Approach to the Evolution of the Spin-boson Systems and its
  Application on the Buck-Sukumar Model   We present a systematic numerical iteration approach to study the evolution
properties of the spin-boson systems, which works well in whole coupling
regime. This approach involves the evaluation of a set of coefficients for the
formal expansion of the time-dependent Schr\"{o}dinger equation $\vert
t\rangle=e^{-i\hat{H}t}\vert t=0\rangle$ by expanding the initial state $\vert
t=0\rangle$ in Fock space. The main advantage of this method is that this set
of coefficients is unique for the Hamiltonian studied, which allows one to
calculate the time evolution based on the different initial states. To
complement our numerical calculations, the method is applied to the
Buck-Sukumar model. Furthermore, we pointed out that, when the ground state
energy of the model is unbounded and no ground state exists in a certain
parameter space, the unstable time evolution of the physical quantities is the
natural results. Furthermore, we test the performance of the numerical method
to the Hamiltonian that use anti-Hermitian terms for modeling open quantum
systems.

17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org