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

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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https://hal-cea.archives-ouvertes.fr/cea-01472952
Contributor : Emmanuelle de Laborderie <>
Submitted on : Tuesday, February 21, 2017 - 3:09:46 PM
Last modification on : Thursday, July 23, 2020 - 5:37:09 PM
Long-term archiving on: : Monday, May 22, 2017 - 3:39:48 PM

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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, IOP Publishing, 2017, 1707 (7), pp.073301. ⟨10.1088/1742-5468/aa75dd⟩. ⟨cea-01472952⟩

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