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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Fock-state lattices are built from Lie-algebra generators, linking their structure and dynamics to phase-space geometry and revealing when integrable Hamiltonians lack such an algebraic origin.
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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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Algebraic structure of Fock-state lattices
Fock-state lattices are built from Lie-algebra generators, linking their structure and dynamics to phase-space geometry and revealing when integrable Hamiltonians lack such an algebraic origin.