Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scalable ultra-sensitive detection of heterogeneity via coupled bistable
  dynamics   We demonstrate how the collective response of $N$ globally coupled bistable
elements can strongly reflect the presence of very few non-identical elements
in a large array of otherwise identical elements. Counter-intuitively, when
there are a small number of elements with natural stable state different from
the bulk of the elements, {\em all} the elements of the system evolve to the
stable state of the minority due to strong coupling. The critical fraction of
distinct elements needed to produce this swing shows a sharp transition with
increasing $N$, scaling as $1/\sqrt{N}$. Furthermore, one can find a global
bias that allows robust {\em one bit} sensitivity to heterogeneity.
Importantly, the time needed to reach the attracting state does not increase
with the system size. We indicate the relevance of this ultra-sensitive generic
phenomenon for massively parallelized search applications.

6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an