Power-law entanglement spectrum in many-body localized phases

Maksym Serbyn, Alexios A. Michailidis, Dmitry A. Abanin, Z. Papić

Research output: Contribution to journalArticlepeer-review

91 Scopus citations

Abstract

The entanglement spectrum of the reduced density matrix contains information beyond the von Neumann entropy and provides unique insights into exotic orders or critical behavior of quantum systems. Here, we show that strongly disordered systems in the many-body localized phase have power-law entanglement spectra, arising from the presence of extensively many local integrals of motion. The power-law entanglement spectrum distinguishes many-body localized systems from ergodic systems, as well as from ground states of gapped integrable models or free systems in the vicinity of scale-invariant critical points. We confirm our results using large-scale exact diagonalization. In addition, we develop a matrix-product state algorithm which allows us to access the eigenstates of large systems close to the localization transition, and discuss general implications of our results for variational studies of highly excited eigenstates in many-body localized systems.

Original languageEnglish (US)
Article number160601
JournalPhysical review letters
Volume117
Issue number16
DOIs
StatePublished - Oct 10 2016
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy

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