Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bound state dynamics in the long-range spin-$\frac{1}{2}$ XXZ model   Experimental platforms based on trapped ions, cold molecules, and Rydberg
atoms have made possible the investigation of highly-nonlocal spin-${1/2}$
Hamiltonians with long-range couplings. Here, we study the effects of such
non-local couplings in the long-range spin-${1/2}$ XXZ Heisenberg Hamiltonian.
We calculate explicitly the two-spin energy spectrum, which describes all
possible energetic configurations of two spins pointing in a specific direction
embedded in a background of spins with opposite orientation. For fast decay of
the spin-spin couplings, we find that the two-spin energy spectrum is
characterized by well-defined discrete values, corresponding to bound states,
separated by a set of continuum states describing the scattering region. In the
deep long-range regime instead, the bound states disappear as they get
incorporated by the scattering region. The presence of two-spin bound states
results to be crucial to determine both two- and many-spin dynamics. On one
hand, radically different two-spin spreadings can be observed by tuning the
decay of the spin couplings. On the other hand, two-spin bound states enable
the dynamical stabilization of effective antiferromagnetic states in the
presence of ferromagnetic couplings. Finally, we propose a novel scheme based
on a trapped-ion quantum simulator to experimentally realize the long-range XXZ
model and to study its out-of-equilibrium properties.

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The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: physics
31
The categories of this paper are: ao-sci
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The categories of this paper are: stat
1
The categories of this paper are: cs
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th