Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamics of Entanglement and `Attractor' states in The Tavis-Cummings
  Model   We study the time evolution of $N_q$ two-level atoms (or qubits) interacting
with a single mode of the quantised radiation field. In the case of two qubits,
we show that for a set of initial conditions the reduced density matrix of the
atomic system approaches that of a pure state at $\sfrac{t_r}{4}$, halfway
between that start of the collapse and the first mini revival peak, where $t_r$
is the time of the main revival. The pure state approached is the same for a
set of initial conditions and is thus termed an `attractor state'. The set
itself is termed the basin of attraction and the features are at the center of
our attention. Extending to more qubits, we find that attractors are a generic
feature of the multi qubit Jaynes Cummings model (JCM) and we therefore
generalise the discovery by Gea-Banacloche for the one qubit case. We give the
`basin of attraction' for $N_q$ qubits and discuss the implications of the
`attractor' state in terms of the dynamics of $N_q$-body entanglement. We
observe both collapse and revival and sudden birth/death of entanglement
depending on the initial conditions.

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The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
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The categories of this paper are: eess
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an