Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sharp phase transitions in a small frustrated network of trapped ion
  spins   Sharp quantum phase transitions typically require a large system with many
particles. Here we show that for a frustrated fully-connected Ising spin
network represented by trapped atomic ions, the competition between different
spin orders leads to rich phase transitions whose sharpness scales
exponentially with the number of spins. This unusual finite-size scaling
behavior opens up the possibility of observing sharp quantum phase transitions
in a system of just a few trapped ion spins.

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The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat