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arXiv · 1702.03165

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

Cecile Monthus
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Abstract

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

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Cecile Monthus. 2017-02-10. Periodically driven random quantum spin chains : Real-Space Renormalization for Floquet localized phases. https://doi.org/10.1088/1742-5468/aa75dd

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