Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact Ground State of Lieb-Mattis Hamiltonian as a Superposition of
  N\'eel states   We show that the exact ground state of the Lieb-Mattis Hamiltonian is an
equal-weight superposition of all possible classical N\'{e}el states, and
provide an exact formulation of this superposition in the $z$-spin basis for
both $S=1/2$ and general $S$ using Schwinger bosons. In general, a
superposition of possible rotations on a general initial state is symmetric if
and only if the initial state has a nonzero overlap with a singlet state and is
otherwise made up of states that vanish due to the symmetrization. Most
notably, $|s, m=0 \rangle$ states will vanish if symmetrized, which explains
how a superposition of N\'{e}el states projects onto its singlet component.

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The categories of this paper are: nlin
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The categories of this paper are: econ
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The categories of this paper are: cs
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The categories of this paper are: stat
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The categories of this paper are: supr-con
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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-th
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The categories of this paper are: q-alg
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The categories of this paper are: physics
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The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess