Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Distillable entanglement and area laws in spin and harmonic-oscillator
  systems   We address the presence of non-distillable (bound) entanglement in natural
many-body systems. In particular, we consider standard harmonic and spin-1/2
chains, at thermal equilibrium and characterized by few interaction parameters.
The existence of bound entanglement is addressed by calculating explicitly the
negativity of entanglement for different partitions. This allows to individuate
a range of temperatures for which no entanglement can be distilled by means of
local operations, despite the system being globally entangled. We discuss how
the appearance of bound entanglement can be linked to entanglement-area laws,
typical of these systems. Various types of interactions and topologies are
explored, showing that the presence of bound entanglement is an intrinsic
feature of these systems. In the harmonic case, we analytically prove that
thermal bound entanglement persists for systems composed by an arbitrary number
of particles. Our results strongly suggest the existence of bound entangled
states in the macroscopic limit also for spin-1/2 systems.

11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
2
The categories of this paper are: math
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex