Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Dynamics of the Tavis-Cummings Model   The purpose of this paper is to present a comprehensive study of the
Tavis-Cummings model from a system-theoretic perspective. A typical form of the
Tavis-Cummings model is composed of an ensemble of non-interacting two-level
systems that are all coupled to a common cavity resonator. A Tavis-Cummings
system exhibits superradiance phenomenon, for example an ensemble of $N$
two-level atoms act collectively as a giant atom which decays $N$ times as fast
as an individual atom. An associated quantum linear passive system is proposed,
whose canonical form reveals typical features of the Tavis-Cummings model,
including $\sqrt{N}$- scaling, dark states, bright states, single-excitation
superradiant and subradiant states. The passivity of this linear system is
related to the vacuum Rabi mode splitting phenomenon in a Tavis-Cummings
system. On the basis of the linear model, an analytic form is presented for the
steady-state output single-photon state of the Tavis-Cummings model driven by a
single-photon state. Master equations are used to study the excitation
properties of the Tavis-Cummings model in the multi-excitation scenario.
Finally, in terms of the transition matrix for a linear time-varying system, a
computational framework is proposed for calculating the state of the
Tavis-Cummings model, which is applicable to the multi-excitation case.

31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
18
The categories of this paper are: econ
2
The categories of this paper are: math
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys