Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scaling near Quantum Chaos Border in Interacting Fermi Systems   The emergence of quantum chaos for interacting Fermi systems is investigated
by numerical calculation of the level spacing distribution $P(s)$ as function
of interaction strength $U$ and the excitation energy $\epsilon$ above the
Fermi level. As $U$ increases, $P(s)$ undergoes a transition from Poissonian
(nonchaotic) to Wigner-Dyson (chaotic) statistics and the transition is
described by a single scaling parameter given by $Z = (U \epsilon^{\alpha}-u_0)
\epsilon^{1/2\nu}$, where $u_0$ is a constant. While the exponent $\alpha$,
which determines the global change of the chaos border, is indecisive within a
broad range of $0.9 \sim 2.0$, finite value of $\nu$, which comes from the
increase of the Fock space size with $\epsilon$, suggests that the transition
becomes sharp as $\epsilon$ increases.

9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics