In Z2 topological order enriched by subsystem symmetries, mobility classes obey multi-channel fusion algebras including Fibonacci rules, tensor products thereof, and lineon period transmutation.
Haah, Local stabilizer codes in three dimensions with- out string logical operators, Phys
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A discretized higher-rank gauge theory on a square lattice produces a classical Ising fracton spin liquid with preserved tensor Gauss law, but quantum perturbations induce severe Hilbert space fragmentation that blocks fractonic quantum dynamics.
A driven dipole-conserving Bose-Hubbard model realizes controllable resonant splitting and motion of dipoles and fractons via engineered time-dependent tensor electric fields.
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Fusion Rules of Mobility
In Z2 topological order enriched by subsystem symmetries, mobility classes obey multi-channel fusion algebras including Fibonacci rules, tensor products thereof, and lineon period transmutation.
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Classical fracton spin liquid and Hilbert space fragmentation in a 2D spin-$1/2$ model
A discretized higher-rank gauge theory on a square lattice produces a classical Ising fracton spin liquid with preserved tensor Gauss law, but quantum perturbations induce severe Hilbert space fragmentation that blocks fractonic quantum dynamics.
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Resonant dynamics of dipole-conserving Bose-Hubbard model with time-dependent tensor electric fields
A driven dipole-conserving Bose-Hubbard model realizes controllable resonant splitting and motion of dipoles and fractons via engineered time-dependent tensor electric fields.