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When random quantum spin chains are submitted to some periodic Floquetdriving, the eigenstates of the time-evolution operator over one period can belocalized in real space. For the case of periodic quenches between twoHamiltonians (or periodic kicks), where the time-evolution operator over oneperiod reduces to the product of two simple transfer matrices, we propose aBlock-self-dual renormalization procedure to construct the localizedeigenstates of the Floquet dynamics. We also discuss the corresponding StrongDisorder Renormalization procedure, that generalizes the RSRG-X procedure toconstruct the localized eigenstates of time-independent Hamiltonians.

Periodically driven random quantum spin chains : Real-Space Renormalization for Floquet localized phases