The size of Cooper pairs is given by the trace of their quantum geometric quadrupole moment, with Berry curvature entering via the pair wavefunction phase to impose a geometric lower bound alongside the quantum metric.
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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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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.