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Journal Articles Journal of Statistical Mechanics: Theory and Experiment Year : 2017

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

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Abstract

When random quantum spin chains are submitted to some periodic Floquet driving, the eigen-states 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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cea-01472952 , version 1 (21-02-2017)

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Cécile Monthus. Periodically driven random quantum spin chains : Real-Space Renormalization for Floquet localized phases. Journal of Statistical Mechanics: Theory and Experiment, 2017, 1707 (7), pp.073301. ⟨10.1088/1742-5468/aa75dd⟩. ⟨cea-01472952⟩
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