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Hilbert space fragmentation and exact scars of generalized Fredkin spin chains

Hilbert space fragmentation and exact scars of generalized Fredkin spin chains

In this work, based on the Fredkin spin chain, we introduce a family of spin-1/2 many-body Hamiltonians with a three-site interaction featuring a fragmented Hilbert space with coexisting quantum many-body scars. The fragmentation results from an emergent kinetic constraint resembling the conserved spin configuration in the one-dimensional Fermi-Hubbard model in …