2016/08/23 by Carolyn Zhang, Frank Pollmann, S. L. Sondhi +1 · 1 citation
Materials Science · Physics and Astronomy · #Eigenvalues and eigenvectors #Floquet theory #Generalization #Machine Learning in Materials Science #Operator (biology) #Quantum many-body systems #Renormalization group #Scaling #Topological Materials and Phenomena #cond-mat.dis-nn #cond-mat.str-el
paper · pdf · doi:10.1002/andp.201600294
published as Annalen der Physik 529.7 (2017) · 7 pages, 4 figures
arxiv created 2016/08/23 · openalex created_date 2016/09/16 · openalex publication_date 2017/03/31 · arxiv updated 2017/09/28 · openalex updated_date 2026/08/05
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. image