Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Correlations of quantum curvature and variance of Chern numbers   We analyse the correlation function of the quantum curvature in complex
quantum systems, using a random matrix model to provide an exemplar of a
universal correlation function. We show that the correlation function diverges
as the inverse of the distance at small separations. We also define and analyse
a correlation function of mixed states, showing that it is finite but singular
at small separations. A scaling hypothesis on a universal form for both types
of correlations is supported by Monte-Carlo simulations. We relate the
correlation function of the curvature to the variance of Chern integers which
can describe quantised Hall conductance.

25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys