Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-local emergent hydrodynamics in a long-range quantum spin system   Generic short-range interacting quantum systems with a conserved quantity
exhibit universal diffusive transport at late times. We employ non-equilibrium
quantum field theory and semi-classical phase-space simulations to show how
this universality is replaced by a more general transport process in a
long-range XY spin chain at infinite temperature with couplings decaying
algebraically with distance as $r^{-\alpha}$. While diffusion is recovered for
$\alpha>1.5$, longer-ranged couplings with $0.5<\alpha\leq 1.5 $ give rise to
effective classical L\'evy flights; a random walk with step sizes drawn from a
distribution with algebraic tails. We find that the space-time dependent spin
density profiles are self-similar, with scaling functions given by the stable
symmetric distributions. As a consequence, for $0.5<\alpha\leq1.5$
autocorrelations show hydrodynamic tails decaying in time as
$t^{-1/(2\alpha-1)}$ and linear-response theory breaks down. Our findings can
be readily verified with current trapped ion experiments.

21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat