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  Efficient variational diagonalization of fully many-body localized Hamiltonians

Pollmann, F., Khemani, V., Cirac, J. I., & Sondhi, S. L. (2016). Efficient variational diagonalization of fully many-body localized Hamiltonians. Physical Review B, 94(4): 041116. doi:10.1103/PhysRevB.94.041116.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-002D-1894-B Version Permalink: https://hdl.handle.net/11858/00-001M-0000-002D-1895-9
Genre: Journal Article

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 Creators:
Pollmann, Frank, Author           
Khemani, Vedika, Author           
Cirac, J. Ignacio1, Author           
Sondhi, S. L., Author           
Affiliations:
1Theory, Max Planck Institute of Quantum Optics, Max Planck Society, ou_1445571              

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 Abstract: 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.

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Language(s): eng - English
 Dates: 2015-07-272016-07-282016-07-28
 Publication Status: Issued
 Pages: -
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1103/PhysRevB.94.041116
URI: https://journals.aps.org/prb/abstract/10.1103/PhysRevB.94.041116
Other: 5308
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Title: Physical Review B
  Abbreviation : Phys. Rev. B
Source Genre: Journal
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Publ. Info: Woodbury, NY : American Physical Society
Pages: - Volume / Issue: 94 (4) Sequence Number: 041116 Start / End Page: - Identifier: ISSN: 1098-0121
CoNE: https://pure.mpg.de/cone/journals/resource/954925225008