Topological entanglement Rényi entropy and reduced density matrix structure
We generalize the topological entanglement entropy to a family of topological Rényi entropies parametrized by a parameter alpha, in an attempt to find new invariants for distinguishing topologically ordered phases. We show that, surprisingly, all topological Rényi entropies are the same, independent of alpha for all nonchiral topological phases. This independence shows that topologically ordered ground-state wave functions have reduced density matrices with a certain simple structure, and no additional universal information can be extracted from the entanglement spectrum.
| Medienart: |
E-Artikel |
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| Erscheinungsjahr: |
2009 |
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| Erschienen: |
2009 |
| Enthalten in: |
Zur Gesamtaufnahme - volume:103 |
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| Enthalten in: |
Physical review letters - 103(2009), 26 vom: 31. Dez., Seite 261601 |
| Sprache: |
Englisch |
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| Beteiligte Personen: |
Flammia, Steven T [VerfasserIn] |
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| Themen: |
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| Anmerkungen: |
Date Completed 28.06.2010 Date Revised 06.04.2010 published: Print-Electronic Citation Status PubMed-not-MEDLINE |
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| Förderinstitution / Projekttitel: |
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| PPN (Katalog-ID): |
NLM197105726 |
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| 100 | 1 | |a Flammia, Steven T |e verfasserin |4 aut | |
| 245 | 1 | 0 | |a Topological entanglement Rényi entropy and reduced density matrix structure |
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| 500 | |a Date Revised 06.04.2010 | ||
| 500 | |a published: Print-Electronic | ||
| 500 | |a Citation Status PubMed-not-MEDLINE | ||
| 520 | |a We generalize the topological entanglement entropy to a family of topological Rényi entropies parametrized by a parameter alpha, in an attempt to find new invariants for distinguishing topologically ordered phases. We show that, surprisingly, all topological Rényi entropies are the same, independent of alpha for all nonchiral topological phases. This independence shows that topologically ordered ground-state wave functions have reduced density matrices with a certain simple structure, and no additional universal information can be extracted from the entanglement spectrum | ||
| 650 | 4 | |a Journal Article | |
| 700 | 1 | |a Hamma, Alioscia |e verfasserin |4 aut | |
| 700 | 1 | |a Hughes, Taylor L |e verfasserin |4 aut | |
| 700 | 1 | |a Wen, Xiao-Gang |e verfasserin |4 aut | |
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