Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strongly interacting confined quantum systems in one dimension   In one dimension, the study of magnetism dates back to the dawn of quantum
mechanics when Bethe solved the famous Heisenberg model that describes quantum
behaviour in magnetic systems. In the last decade, one-dimensional systems have
become a forefront area of research driven by the realization of the
Tonks-Girardeau gas using cold atomic gases. Here we prove that one-dimensional
fermionic and bosonic systems with strong short-range interactions are solvable
in arbitrary confining geometries by introducing a new energy-functional
technique and obtaining the full spectrum of energies and eigenstates. As a
first application, we calculate spatial correlations and show how both ferro-
and anti-ferromagnetic states are present already for small system sizes that
are prepared and studied in current experiments. Our work demonstrates the
enormous potential for quantum manipulation of magnetic correlations at the
microscopic scale.

31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg