Spectral tensor networks for many-body localization

A. Chandran, J. Carrasquilla, I. H. Kim, D. A. Abanin, G. Vidal

Research output: Contribution to journalArticlepeer-review

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Subsystems of strongly disordered, interacting quantum systems can fail to thermalize because of the phenomenon of many-body localization (MBL). In this paper, we explore a tensor network description of the eigenspectra of such systems. Specifically, we will argue that the presence of a complete set of local integrals of motion in MBL implies an efficient representation of the entire spectrum of energy eigenstates with a single tensor network, a spectral tensor network. Our results are rigorous for a class of idealized systems related to MBL with integrals of motion of finite support. In one spatial dimension, the spectral tensor network allows for the efficient computation of expectation values of a large class of operators (including local operators and string operators) in individual energy eigenstates and in ensembles.

Original languageEnglish (US)
Article number024201
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number2
StatePublished - Jul 1 2015
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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