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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Quantum Geometric Quadrupole of Cooper Pairs
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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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.