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Time-crystalline Topological Superconductors
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Time crystals form when arbitrary physical states of a periodically driven system spontaneously break discrete time-translation symmetry. We introduce one-dimensional time-crystalline topological superconductors, for which time-translation symmetry breaking and topological physics intertwine---yielding anomalous Floquet Majorana modes that are not possible in free-fermion systems. Such a phase exhibits a bulk magnetization that returns to its original form after two drive periods, together with Majorana end modes that recover their initial form only after four drive periods. We propose experimental implementations and detection schemes for this new state.
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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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