Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phonon mediated quantum spin simulator employing a planar ionic crystal
  in a Penning trap   We derive the normal modes for a rotating Coulomb ion crystal in a Penning
trap, quantize the motional degrees of freedom, and illustrate how they can by
driven by a spin-dependent optical dipole force to create a quantum spin
simulator on a triangular lattice with hundreds of spins. The analysis for the
axial modes (oscillations perpendicular to the two-dimensional crystal plane)
follow a standard normal-mode analysis, while the remaining planar modes are
more complicated to analyze because they have velocity-dependent forces in the
rotating frame. After quantizing the normal modes into phonons, we illustrate
some of the different spin-spin interactions that can be generated by
entangling the motional degrees of freedom with the spin degrees of freedom via
a spin-dependent optical dipole force. In addition to the well-known power-law
dependence of the spin-spin interactions when driving the axial modes blue of
phonon band, we notice certain parameter regimes in which the level of
frustration between the spins can be engineered by driving the axial or planar
phonon modes at different energies. These systems may allow for the analog
simulation of quantum spin glasses with large numbers of spins.

23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci