Periodically driven random quantum spin chains : Real-Space Renormalization for Floquet localized phases
arXiv:1702.03165 · doi:10.1088/1742-5468/aa75dd
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.
10 pages
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Cited by in corpus (9)
- Strong Disorder RG approach - a short review of recent developments
- Floquet Quantum Criticality
- Activating critical exponent spectra with a slow drive
- Strong-Disorder Renormalization Group for Periodically Driven Systems
- Flow Equations for Disordered Floquet Systems
- Adaptive Density Matrix Renormalization Group for Disordered Systems
- Dynamic renormalization group theory for open Floquet systems
- Random free-fermion quantum spin chain with multi-spin interactions
- Fourier Neural Operators for Time-Periodic Quantum Systems: Learning Floquet Hamiltonians, Observable Dynamics, and Operator Growth