Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Emergence of curved light-cones in a class of inhomogeneous Luttinger
  liquids   The light-cone spreading of entanglement and correlation is a fundamental and
ubiquitous feature of homogeneous extended quantum systems. Here we point out
that a class of inhomogenous Luttinger liquids (those with a uniform Luttinger
parameter $K$) at low energy display the universal phenomenon of curved light
cones: gapless excitations propagate along the geodesics of the metric
$ds^2=dx^2+v(x)^2 d\tau^2$, with $v(x)$ being the calculable spatial dependent
velocity induced by the inhomogeneity. We confirm our findings with explicit
analytic and numerical calculations both in- and out-of-equilibrium for a
Tonks-Girardeau gas in a harmonic potential and in lattice systems with
artificially tuned hamiltonian density.

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The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg