Efficient variational diagonalization of fully many-body localized Hamiltonians

Frank Pollmann, Vedika Khemani, J. Ignacio Cirac, Shivaji Lal Sondhi

Research output: Contribution to journalArticlepeer-review

60 Scopus citations


We introduce a variational unitary matrix product operator based variational method that approximately finds all the eigenstates of fully many-body localized one-dimensional Hamiltonians. The computational cost of the variational optimization scales linearly with system size for a fixed depth of the UTN ansatz. We demonstrate the usefulness of our approach by considering the Heisenberg chain in a strongly disordered magnetic field for which we compare the approximation to exact diagonalization results.

Original languageEnglish (US)
Article number041116
JournalPhysical Review B
Issue number4
StatePublished - Jul 28 2016

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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