Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Correlation functions for the detection of Wigner molecules in a
  one-channel Luttinger liquid quantum dot   In one-channel, finite-size Luttinger one-dimensional quantum dots, both
Friedel oscillations and Wigner correlations induce oscillations in the
electron density with the same wavelength, pinned at the same position.
Therefore, observing such a property does not provide any hint about the
formation of a Wigner molecule when electrons interact strongly and other tools
must be employed to assess the formation of such correlated states. We compare
here the behavior of three different correlation functions and demonstrate that
the integrated two point correlation function, which represents the probability
density of finding two particles at a given distance, is the only faithful
estimator for the formation of a correlated Wigner molecule.

7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex