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arXiv · 1608.06411

Density-Matrix Renormalization Group study of Many-Body Localization in Floquet Eigenstates

Carolyn Zhang·Frank Pollmann·S. L. Sondhi·Roderich Moessner
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Abstract

We generalize the recently introduced Density-Matrix Renormalization Group (DMRG-X) [Khemani et al, PRL 2016] algorithm to obtain Floquet eigenstates of one-dimensional, periodically driven many-body localized systems. This generalization is made possible by the fact that the time-evolution operator for a period can be efficiently represented using a matrix-product operator. We first benchmark the method by comparing to exact diagonalization for small systems. We then obtain Floquet eigenstates for larger systems and show unambiguously that the characteristic area-law scaling remains robust.

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Carolyn Zhang, Frank Pollmann, S. L. Sondhi, Roderich Moessner. 2016-08-23. Density-Matrix Renormalization Group study of Many-Body Localization in Floquet Eigenstates. https://doi.org/10.1002/andp.201600294

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