Obtaining Highly Excited Eigenstates of Many-Body Localized Hamiltonians by the Density Matrix Renormalization Group Approach

Vedika Khemani, Frank Pollmann, S. L. Sondhi

Research output: Contribution to journalArticle

63 Scopus citations

Abstract

The eigenstates of many-body localized (MBL) Hamiltonians exhibit low entanglement. We adapt the highly successful density-matrix renormalization group method, which is usually used to find modestly entangled ground states of local Hamiltonians, to find individual highly excited eigenstates of MBL Hamiltonians. The adaptation builds on the distinctive spatial structure of such eigenstates. We benchmark our method against the well-studied random field Heisenberg model in one dimension. At moderate to large disorder, the method successfully obtains excited eigenstates with high accuracy, thereby enabling a study of MBL systems at much larger system sizes than those accessible to exact-diagonalization methods.

Original languageEnglish (US)
Article number247204
JournalPhysical review letters
Volume116
Issue number24
DOIs
StatePublished - Jun 17 2016

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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