Journal article icon

Journal article

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...

Expand abstract
Publication status:
Published
Peer review status:
Peer reviewed

Actions


Access Document


Files:
Publisher copy:
10.1103/PhysRevX.7.021018

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Role:
Author
More by this author
Institution:
University of Oxford
Oxford college:
Somerville College
Role:
Author
More from this funder
Funding agency for:
Simon, S
Grant:
EP/N01930X/1
More from this funder
Funding agency for:
Wahl, T
Simon, S
Grant:
EP/I031014/1
EP/N01930X/1
Publisher:
American Physical Society Publisher's website
Journal:
Physical Review X Journal website
Volume:
7
Issue:
2
Article number:
021018
Publication date:
2017-05-08
Acceptance date:
2017-03-21
DOI:
ISSN:
2160-3308
Pubs id:
pubs:686473
UUID:
uuid:3da00854-5ce6-4c75-95e1-e6f202b57d67
Local pid:
pubs:686473
Source identifiers:
686473
Deposit date:
2017-03-21

Terms of use


Views and Downloads






If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP