Floquet circuits can be built to host many-body cages that carry topological features and π-quasienergy modes, producing time-crystalline spatiotemporal order in models such as the quantum hard disk.
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Domain-wall magnetization persists indefinitely in coupled XX chains due to exponentially many chiral symmetry-protected zero modes, with a localization transition at critical interchain coupling.
A driven Bose-Hubbard model with global density-density interactions induces tunable global kinetic constraints for efficient implementation of multi-body gates and entangled states.
Fock space cages from destructive interference in kinetically constrained models yield localized many-body eigenstates and non-ergodic dynamics by treating Fock space as a graph of bitstring states.
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Engineering long-range and multi-body interactions via global kinetic constraints
A driven Bose-Hubbard model with global density-density interactions induces tunable global kinetic constraints for efficient implementation of multi-body gates and entangled states.
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Localized Fock Space Cages in Kinetically Constrained Models
Fock space cages from destructive interference in kinetically constrained models yield localized many-body eigenstates and non-ergodic dynamics by treating Fock space as a graph of bitstring states.