Tuning the angle between sites in an OAM l=1 staggered lattice switches the winding number and number of topologically protected edge states in a Creutz-ladder mapping.
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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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Geometrical control of topology with orbital angular momentum modes
Tuning the angle between sites in an OAM l=1 staggered lattice switches the winding number and number of topologically protected edge states in a Creutz-ladder mapping.
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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.