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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-0000-002B-A151-4 Version Permalink: https://hdl.handle.net/21.11116/0000-0001-E2B4-4
Genre: Journal Article

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https://journals.aps.org/prb/abstract/10.1103/PhysRevB.94.041116 (Publisher version)
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 Creators:
Pollmann, Frank1, Author           
Khemani, Vedika1, Author           
Cirac, J. Ignacio2, Author
Sondhi, S. L.1, Author           
Affiliations:
1Max Planck Institute for the Physics of Complex Systems, Max Planck Society, ou_2117288              
2external, ou_persistent22              

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 MPIPKS: Strongly correlated electrons
 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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 Dates: 2016-07-282016-07-15
 Publication Status: Issued
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 Identifiers: DOI: 10.1103/PhysRevB.94.041116
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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