Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum geometry of correlated many-body states   We provide a definition of the quantum distances of correlated many fermion
wave functions in terms of the expectation values of certain operators that we
call exchange operators. We prove that the distances satisfy the triangle
inequalities. We apply our formalism to the one-dimensional t-V model, which we
solve numerically by exact diagonalisation. We compute the distance matrix and
illustrate that it shows clear signatures of the metal-insulator transition.

33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
2
The categories of this paper are: math
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an