Journal article
Approximating observables on eigenstates of large many-body localized systems
- Abstract:
- Eigenstates of fully many-body localized (FMBL) systems can be organized into spin algebras based on quasilocal operators called l-bits. These spin algebras define quasilocal l-bit measurement (τzi) and l-bit flip (τxi) operators. For a disordered Heisenberg spin chain in the MBL regime we approximate l-bit flip operators by finding them exactly on small windows of systems and extending them onto the whole system by exploiting their quasilocal nature. We subsequently use these operators to represent approximate eigenstates. We then describe a method to calculate products of local observables on these eigenstates for systems of size L in O(L2) time. This algorithm is used to compute the error of the approximate eigenstates.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
Actions
Access Document
- Files:
-
-
(Preview, Accepted manuscript, pdf, 577.1KB, Terms of use)
-
- Publisher copy:
- 10.1103/PhysRevB.99.104201
Authors
- Publisher:
- American Physical Society
- Journal:
- Physical review B: Condensed matter and materials physics More from this journal
- Volume:
- 99
- Article number:
- 104201
- Publication date:
- 2019-03-11
- Acceptance date:
- 2019-01-09
- DOI:
- EISSN:
-
1550-235X
- ISSN:
-
1098-0121
- Pubs id:
-
pubs:958225
- UUID:
-
uuid:301be787-c8b3-4a05-bfc6-edec89c00457
- Local pid:
-
pubs:958225
- Source identifiers:
-
958225
- Deposit date:
-
2019-01-09
Terms of use
- Copyright holder:
- American Physical Society
- Copyright date:
- 2019
- Notes:
- ©2019 American Physical Society. This is the accepted manuscript version of the article. The final version is available online from American Physical Society at: 10.1103/PhysRevB.99.104201
If you are the owner of this record, you can report an update to it here: Report update to this record