Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entanglement and fermionization of two distinguishable fermions in a
  strict and non strict one-dimensional space   The fermionization regime and entanglement correlations of two
distinguishable harmonically confined fermions interacting via a zero-range
potential is addressed. We present two alternative representations of the
ground state that we associate with two different types of one-dimensional
spaces. These spaces, in turn, induce different correlations between particles
and thus require a suitable definition of entanglement. We find that the
entanglement of the ground state is strongly conditioned by those
one-dimensional space features. We also find that in the strongly attractive
regime the relative ground state is a highly localized state leading to maximum
entanglement. Our analysis shows that in the strongly repulsive regime the
ground state changes smoothly from a superposition of Slater-like states to a
finite superposition of Slaters, this lack of accessible states yields to Pauli
blocking as a strong signature of fermionization. Our results indicate that
entangled states could be obtained in current experiments by reaching the
non-interacting regime from the interacting regime. Entangled states could also
be obtained when a state is brought from the interacting regime into the
strongly repulsive regime by changing the scattering length near the
confinement-induced resonance. Finally, we show that the first excited state
obtained in the absence of interactions and the third excited fermionized state
are maximally entangled.

26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys