Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Robust spin squeezing from the tower of states of $U(1)$-symmetric spin
  Hamiltonians   Spin squeezing - a central resource for quantum metrology - can be generated
via the non-linear, entangling evolution of an initially factorized spin state.
Here we show that robust (i.e. persistent) squeezing dynamics is generated by a
very large class of $S=1/2$ spin Hamiltonians with axial symmetry, in
relationship with the existence of a peculiar structure of the low-lying
Hamiltonian eigenstates - the so-called Anderson's tower of states. Such states
are fundamentally related to the appearance of spontaneous symmetry breaking in
quantum systems; and, for models with sufficiently high connectivity, they are
parametrically close to the eigenstates of a planar rotor (Dicke states), in
that they feature an anomalously large value of the total angular momentum. Our
central insight is that, starting from a coherent spin state, a generic
$U(1)$-symmetric Hamiltonian featuring the Anderson's tower of states generates
the same squeezing evolution at short times as the one governed by the
paradigmatic one-axis-twisting (or planar-rotor) model of squeezing dynamics.
The full squeezing evolution of the planar-rotor model is seemingly reproduced
for interactions decaying with distance $r$ as $r^{-\alpha}$ when $\alpha <
5d/3$ in $d$ dimensions. Our results connect quantum simulation with quantum
metrology by unveiling the squeezing power of a large variety of Hamiltonian
dynamics that are currently implemented by different quantum simulation
platforms.

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The categories of this paper are: mtrl-th
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The categories of this paper are: math
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The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: gr-qc