Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamics of Entanglement and Uncertainty relation in Coupled Harmonic
  Oscillator System : Exact Results   The dynamics of entanglement and uncertainty relation is explored by solving
the time-dependent Schr\"{o}dinger equation for coupled harmonic oscillator
system analytically when the angular frequencies and coupling constant are
arbitrarily time-dependent. We derive the spectral and Schmidt decompositions
for vacuum solution. Using the decompositions we derive the analytical
expressions for von Neumann and R\'{e}nyi entropies. Making use of Wigner
distribution function defined in phase space, we derive the time-dependence of
position-momentum uncertainty relations. In order to show the dynamics of
entanglement and uncertainty relation graphically we introduce two toy models
and one realistic quenched model. While the dynamics can be conjectured by
simple consideration in the toy models, the dynamics in the realistic quenched
model is somewhat different from that in the toy models. In particular, the
dynamics of entanglement exhibits similar pattern to dynamics of uncertainty
parameter in the realistic quenched model.

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The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
2
The categories of this paper are: math
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex