We propose that periodic driving can stabilize a new type of order called ‘period-doubled superconductivity’, in which the superconducting order parameter oscillates at half the driving frequency. Despite the zero time-averaged order parameter, the ordered state exhibits perfect conductivity and the Meissner effect. Our theory predicts that this phase may be realized as a steady state in materials that have been shown to exhibit photoinduced superconductivity. We propose to exploit the Josephson junction between a photoinduced superconductor and a normal superconductor to detect the period-doubled oscillation of the order parameter. Our theory can also be realized by parametric driving of cold boson atoms in optical lattices.

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