The two-site Bose-Hubbard hopping Hamiltonian in fixed-k subspaces equals the spin-x projector for s = k/2, and its square generates cat states from coherent states.
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Two-site Bose-Hubbard hopping and Schr\"odinger cat states
The two-site Bose-Hubbard hopping Hamiltonian in fixed-k subspaces equals the spin-x projector for s = k/2, and its square generates cat states from coherent states.