Density-matrix renormalization group study of many-body localization in floquet eigenstates

Carolyn Zhang, Frank Pollmann, Shivaji Lal 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. (Figure presented.).

Original languageEnglish (US)
Article number1600294
JournalAnnalen der Physik
Volume529
Issue number7
DOIs
StatePublished - Jul 2017

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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