Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scaling of tripartite entanglement at impurity quantum phase transitions   The emergence of a diverging length scale in many-body systems at a quantum
phase transition implies that total entanglement has to reach its maximum
there. In order to fully characterize this, one has to consider multipartite
entanglement as, for instance, bipartite entanglement between individual
particles fails to signal this effect. However, quantification of multipartite
entanglement is very hard and detecting it may not be possible due to the lack
of accessibility to all individual particles. For these reasons it will be more
sensible to partition the system into relevant subsystems, each containing few
to many spins, and study entanglement between those constituents as a
coarse-grain picture of multipartite entanglement between individual particles.
In impurity systems, famously exemplified by two-impurity and two-channel Kondo
models, it is natural to divide the system into three parts, namely, impurities
and the left and right bulks. By exploiting two tripartite entanglement
measures, based on negativity, we show that at impurity quantum phase
transitions the tripartite entanglement diverges and shows scaling behavior.
While the critical exponents are different for each tripartite entanglement
measure they both provide very similar critical exponents for the two-impurity
and the two-channel Kondo models suggesting that they belong to the same
universality class.

34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
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The categories of this paper are: hep-th
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The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex