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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Side coupling of free spins to Ising models on lattices fragments the Hilbert space into exponentially many decoupled sectors at resonance between transverse field and coupling, inducing quantum scars.
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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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Hilbert space fragmentation in quantum Ising systems induced by side coupling
Side coupling of free spins to Ising models on lattices fragments the Hilbert space into exponentially many decoupled sectors at resonance between transverse field and coupling, inducing quantum scars.