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Dynamical enhancement of symmetries in many-body systems
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We construct a dynamical decoupling protocol for accurately generating local and global symmetries in general many-body systems. Multiple commuting and non-commuting symmetries can be created by means of a self-similar-in-time ("polyfractal") drive. The result is an effective Floquet Hamiltonian that remains local and avoids heating over exponentially long times. This approach can be used to realize a wide variety of quantum models, and non-equilibrium quantum phases.
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Floquet engineering of topological phases protected by emergent symmetries under resonant drives
A resonant drive induces an emergent Z2 symmetry in a Z2-symmetric Ising chain, yielding switchable Z2 x Z2 symmetry-protected topological phases detectable by period-doubled order parameters.
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