Periodically driven random quantum spin chains: real-space renormalization for Floquet localized phases. (5th July 2017)

• Record Type: Journal Article
• Authors: Monthus, Cécile
• Is Part Of: Journal of statistical mechanics. (2017:Jul.)
• Publication Date: 2017-07-05
• Subjects: 2 -- 3; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/aa75dd
• Languages: English
• ISSNs: 1742-5468

Abstract

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.