Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Measuring lifetime of correspondence with classical decay of correlation
  in quantum chaos   A very weakly coupled linear oscillator is proposed as a detector for
observing time-irreversible characteristics of a quantum system, and it is used
to measure the lifetime during which a classically chaotic quantum system shows
decay of correlation. Except for a particular case where the lifetime agrees
with the conventional Heisenberg time, which is proportional to the Hilbert
space dimension $N$, it is in general much longer: the lifetime increases in
proportion to the product of $N$ and the number of superposed eigenstates, and
is proportional to $N^2$ in the case of full superposition.

30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga