Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Defining a bulk-edge correspondence for non-Hermitian Hamiltonians via singular-value decomposition
KTH, School of Engineering Sciences (SCI), Physics, Condensed Matter Theory.
KTH, School of Engineering Sciences (SCI), Physics, Condensed Matter Theory. KTH Royal Inst Technol, Dept Phys, S-10691 Stockholm, Sweden..ORCID iD: 0000-0003-3328-8525
Univ Paris Diderot, Sorbonne Paris Cite, Sorbonne Univ, ENS,Univ PSL,CNRS,Lab Phys Ecole Normale Super, Paris, France..
2019 (English)In: Physical Review A: covering atomic, molecular, and optical physics and quantum information, ISSN 2469-9926, E-ISSN 2469-9934, Vol. 99, no 5, article id 052118Article in journal (Refereed) Published
Abstract [en]

We address the breakdown of the bulk-boundary correspondence observed in non-Hermitian systems, where open and periodic systems can have distinct phase diagrams. The correspondence can be completely restored by considering the Hamiltonian's singular-value decomposition instead of its eigendecomposition. This leads to a natural topological description in terms of a flattened singular decomposition. This description is equivalent to the usual approach for Hermitian systems and coincides with a recent proposal for the classification of non-Hermitian systems. We generalize the notion of the entanglement spectrum to non-Hermitian systems, and show that the edge physics is indeed completely captured by the periodic bulk Hamiltonian. We exemplify our approach by considering the chiral non-Hermitian Su-Schrieffer-Heger and Chern insulator models. Our work advocates a different perspective on topological non-Hermitian Hamiltonians, paving the way to a better understanding of their entanglement structure.

Place, publisher, year, edition, pages
AMER PHYSICAL SOC , 2019. Vol. 99, no 5, article id 052118
National Category
Algebra and Logic
Identifiers
URN: urn:nbn:se:kth:diva-254021DOI: 10.1103/PhysRevA.99.052118ISI: 000469016300002Scopus ID: 2-s2.0-85066879533OAI: oai:DiVA.org:kth-254021DiVA, id: diva2:1327912
Note

QC 20190620

Available from: 2019-06-20 Created: 2019-06-20 Last updated: 2019-06-20Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full textScopus

Authority records BETA

Herviou, LoicBardarson, Jens H.

Search in DiVA

By author/editor
Herviou, LoicBardarson, Jens H.
By organisation
Condensed Matter Theory
In the same journal
Physical Review A: covering atomic, molecular, and optical physics and quantum information
Algebra and Logic

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 45 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf