Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Graph-theory treatment of one-dimensional strongly repulsive fermions   One-dimensional atomic mixtures of fermions can effectively realize spin
chains and thus constitute a clean and controllable platform to study quantum
magnetism. Such strongly correlated quantum systems are also of sustained
interest to quantum simulation and quantum computation due to their
computational complexity. In this article, we exploit spectral graph theory to
completely characterize the symmetry properties of one-dimensional fermionic
mixtures in the strong interaction limit. We also develop a powerful method to
obtain the so-called Tan contacts associated with certain symmetry classes. In
particular, compared to brute force diagonalization that is already virtually
impossible for a moderate number of fermions, our analysis enables us to make
unprecedented efficient predictions about the energy gap of complex spin
mixtures. Our theoretical results are not only of direct experimental interest,
but also provide important guidance for the design of adiabatic control
protocols in strongly correlated fermion mixtures.

2
The categories of this paper are: math
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
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
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph