Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact results for the entanglement in 1D Hubbard models with spatial
  constraints   We investigate the entanglement in Hubbard models of hardcore bosons in $1D$,
with an additional hardcore interaction on nearest neighbouring sites. We
derive analytical formulas for the bipartite entanglement entropy for any
number of particles and system size, whose ratio determines the system filling.
At the thermodynamic limit the entropy diverges logarithmically for all
fillings, except for half-filling, with the universal prefactor $1/2$ due to
partial permutational invariance. We show how maximal entanglement can be
achieved by controlling the interaction range between the particles and the
filling which determines the empty space in the system. Our results show how
entangled quantum phases can be created and controlled, by imposing spatial
constraints on states formed in many-body systems of strongly interacting
particles.

20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
2
The categories of this paper are: math
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org