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Efficient representation of fully many-body localized systems using tensor networks

Abstract:

We propose a tensor network encoding the set of all eigenstates of a fully many-body localized system in one dimension. Our construction, conceptually based on the ansatz introduced in Phys. Rev. B 94, 041116(R) (2016), is built from two layers of unitary matrices which act on blocks of \ell contiguous sites. We argue this yields an exponential reduction in computational time and memory requirement as compared to all previous approaches for finding a representation of the complete eigenspectr...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's version

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Publisher copy:
10.1103/PhysRevX.7.021018

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Department:
Oxford, MPLS, Physics, Theoretical Physics
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Department:
Oxford, MPLS, Physics, Theoretical Physics
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Department:
Somerville College
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Funding agency for:
Wahl, TB
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Funding agency for:
Simon, S
Publisher:
American Physical Society Publisher's website
Journal:
Physical Review X Journal website
Volume:
7
Issue:
2
Pages:
Article: 021018
Publication date:
2017-05-08
Acceptance date:
2017-03-21
DOI:
ISSN:
2160-3308
Pubs id:
pubs:686473
URN:
uri:3da00854-5ce6-4c75-95e1-e6f202b57d67
UUID:
uuid:3da00854-5ce6-4c75-95e1-e6f202b57d67
Local pid:
pubs:686473

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