Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Three-body exclusion principle, duality mapping, and exact ground state
  of a harmonically trapped, ultracold Bose gas with three-body hard-core
  interactions in one dimension   Motivated by previous suggestions that three-body hard-core interactions in
lower-dimensional ultracold Bose gases might provide a way for creation of
non-Abelian anyons, the exact ground state of a harmonically trapped 1D Bose
gas with three-body hard-core interactions is constructed by duality mapping,
starting from an $N$-particle ideal gas of mixed symmetry with three-body
nodes, which has double occupation of the lowest harmonic oscillator orbital
and single occupation of the next $N-2$ orbitals. It has some similarity to the
ground state of a Tonks-Girardeau gas, but is more complicated. It is proved
that in 1D any system of $N\ge 3$ bosons with three-body hard-core interactions
also has two-body soft-core interactions of generalized Lieb-Liniger delta
function form, as a consequence of the topology of the configuration space of
$N$ particles in 1D, i.e., wave functions with \emph{only} three-body hard core
zeroes are topologically impossible. This is in contrast with the case of 2D,
where pure three-body hard-core interactions do exist, and are closely related
to the fractional quantized Hall effect. The exact ground state is compared
with a previously-proposed Pfaffian-like approximate ground state, which
satisfies the three-body hard-core constraint but is not an exact energy
eigenstate. Both the exact ground state and the Pfaffian-like approximation
imply two-body soft-core interactions as well as three-body hard-core
interactions, in accord with the general topological proof.

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The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph