Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: One-dimensional liquid $^4$He: dynamical properties beyond Luttinger
  liquid theory   We compute the zero-temperature dynamical structure factor of one-dimensional
liquid $^4$He by means of state-of-the-art Quantum Monte Carlo and analytic
continuation techniques. By increasing the density, the dynamical structure
factor reveals a transition from a highly compressible critical liquid to a
quasi-solid regime. In the low-energy limit, the dynamical structure factor can
be described by the quantum hydrodynamic Luttinger liquid theory, with a
Luttinger parameter spanning all possible values by increasing the density. At
higher energies, our approach provides quantitative results beyond the
Luttinger liquid theory. In particular, as the density increases, the interplay
between dimensionality and interaction makes the dynamical structure factor
manifest a pseudo {\it{particle-hole}} continuum typical of fermionic systems.
At the low-energy boundary of such region and moderate densities, we find
consistency, within statistical uncertainties, with predictions of a power-law
structure by the recently-developed non-linear Luttinger liquid theory. In the
quasi-solid regime we observe a novel behavior at intermediate momenta, which
can be described by new analytical relations that we derive for the hard-rods
model.

32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex