dc.identifier.uri |
http://dx.doi.org/10.15488/385 |
|
dc.identifier.uri |
http://www.repo.uni-hannover.de/handle/123456789/408 |
|
dc.contributor.author |
Brell, Courtney G.
|
|
dc.contributor.author |
Bartlett, Stephen D.
|
|
dc.contributor.author |
Doherty, Andrew C.
|
|
dc.date.accessioned |
2016-08-12T08:08:31Z |
|
dc.date.available |
2016-08-12T08:08:31Z |
|
dc.date.issued |
2014-12-22 |
|
dc.identifier.citation |
Brell, Courtney G.; Bartlett, Stephen D.; Doherty, Andrew C.: Perturbative 2-body parent Hamiltonians for projected entangled pair states. In: New Journal of Physics 16 (2014), 123056. DOI: http://dx.doi.org/10.1088/1367-2630/16/12/123056 |
|
dc.description.abstract |
We construct parent Hamiltonians involving only local 2-body interactions for a broad class of projected entangled pair states (PEPS). Making use of perturbation gadget techniques, we define a perturbative Hamiltonian acting on the virtual PEPS space with a finite order low energy effective Hamiltonian that is a gapped, frustration-free parent Hamiltonian for an encoded version of a desired PEPS. For topologically ordered PEPS, the ground space of the low energy effective Hamiltonian is shown to be in the same phase as the desired state to all orders of perturbation theory. An encoded parent Hamiltonian for the double semion string net ground state is explicitly constructed as a concrete example. |
eng |
dc.description.sponsorship |
ARC/EQuS/CE110001013 |
|
dc.description.sponsorship |
ERC/QFTCMPS |
|
dc.description.sponsorship |
DFG/EXC201/QUEST |
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dc.language.iso |
eng |
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dc.publisher |
Bristol : IOP Publishing Ltd. |
|
dc.relation.ispartofseries |
New Journal of Physics 16 (2014) |
|
dc.rights |
CC BY 3.0 Unported |
|
dc.rights.uri |
https://creativecommons.org/licenses/by/3.0/de/ |
|
dc.subject |
projected entangled pair state |
eng |
dc.subject |
topological order |
eng |
dc.subject |
parent Hamiltonian |
eng |
dc.subject |
quantum |
eng |
dc.subject |
stability |
eng |
dc.subject |
systems |
eng |
dc.subject |
complexity |
eng |
dc.subject |
lattice |
eng |
dc.subject |
anyons |
eng |
dc.subject.ddc |
530 | Physik
|
ger |
dc.title |
Perturbative 2-body parent Hamiltonians for projected entangled pair states |
|
dc.type |
Article |
|
dc.type |
Text |
|
dc.relation.essn |
1367-2630 |
|
dc.relation.doi |
http://dx.doi.org/10.1088/1367-2630/16/12/123056 |
|
dc.bibliographicCitation.volume |
16 |
|
dc.bibliographicCitation.firstPage |
123056 |
|
dc.description.version |
publishedVersion |
|
tib.accessRights |
frei zug�nglich |
|