The DOI matches its Crossref record; 45 of the 45 references it cites were found in a registry or an index.
General Relationship between the Entanglement Spectrum and the Edge State Spectrum of Topological Quantum States
Open accessAbstract
We consider (2+1)-dimensional topological quantum states which possess edge states described by a chiral (1+1)-dimensional conformal field theory, such as, e.g., a general quantum Hall state. We demonstrate that for such states the reduced density matrix of a finite spatial region of the gapped topological state is a thermal density matrix of the chiral edge state conformal field theory which would appear at the spatial boundary of that region. We obtain this result by applying a physical instantaneous cut to the gapped system and by viewing the cutting process as a sudden "quantum quench" into a conformal field theory, using the tools of boundary conformal field theory. We thus provide a demonstration of the observation made by Li and Haldane about the relationship between the entanglement spectrum and the spectrum of a physical edge state.
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Cites
Colloquium : Topological insulators
Hasan, M. Z., & Kane, C. L. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.3045 · Cited by 19,930
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Self-citationPhase Transitions and Critical Phenomena
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Self-citationClassification of topological insulators and superconductors in three spatial dimensions
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Self-citationThe birth of topological insulators
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Cited by
Chiral spin liquid and emergent anyons in a Kagome lattice Mott insulator
Bauer, B., Cincio, L., Keller, B. P., Dolfi, M., Vidal, G., Trebst, S., & Ludwig, A. W. W. (2014) · Nature Communications · doi:10.1038/ncomms6137 · Cited by 269
Self-citationFrom Luttinger liquid to non-Abelian quantum Hall states
Teo, J. C. Y., & Kane, C. L. (2014) · Physical Review B · doi:10.1103/physrevb.89.085101 · Cited by 261
Entanglement temperature and entanglement entropy of excited states
Wong, G., Klich, I., Zayas, L. A. P., & Vaman, D. (2013) · Journal of High Energy Physics · doi:10.1007/jhep12(2013)020 · Cited by 257
Maldacena, J., & Qi, X.-L. (2018) · arXiv · doi:10.48550/arxiv.1804.00491 · Cited by 205
Self-citationFree-fermion entanglement spectrum through Wannier interpolation
Lee, C. H., & Ye, P. (2015) · Physical Review B · doi:10.1103/physrevb.91.085119 · Cited by 54
Metadata
- Authors
- Qi, X.-L., Katsura, H., & Ludwig, A. W. W.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2012-05-10
- Volume
- 108
- Issue
- 19
- Pages
- 196402-196402
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2057916018
- Cited by
- 425
- References
- 45
- FWCI
- 14.79
- Type
- journal article
- Language
- en
- Open access
- green
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