Exact condensate-pair eigenstates are built for Fermi ladders under SU(2) symmetry via spectrum generating algebra and mapped to Bose ladders by operator replacement, revealing pair equivalence and a possible Hilbert-space fragmentation mechanism.
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Exact few-magnon Bloch states block-diagonalize the J1-J2 ring Hamiltonian for N=6,8 into at most 4x4 blocks, giving analytical access to Majumdar-Ghosh and HKNN ground states whose momentum-space forms match their real-space versions for N=6.
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Condensate states in Fermi and Bose-Hubbard ladders
Exact condensate-pair eigenstates are built for Fermi ladders under SU(2) symmetry via spectrum generating algebra and mapped to Bose ladders by operator replacement, revealing pair equivalence and a possible Hilbert-space fragmentation mechanism.
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Exact momentum-space analysis of small spin-1/2 $J_1$-$J_2$ rings
Exact few-magnon Bloch states block-diagonalize the J1-J2 ring Hamiltonian for N=6,8 into at most 4x4 blocks, giving analytical access to Majumdar-Ghosh and HKNN ground states whose momentum-space forms match their real-space versions for N=6.