The DOI matches its Crossref record; 35 of the 35 references it cites were found in a registry or an index.
Quasiadiabatic continuation of quantum states: The stability of topological ground-state degeneracy and emergent gauge invariance
Open accessAbstract
We define for quantum many-body systems a quasiadiabatic continuation of quantum states. The continuation is valid when the Hamiltonian has a gap, or else has a sufficiently small low-energy density of states, and thus is away from a quantum phase transition. This continuation takes local operators into local operators, while approximately preserving the ground-state expectation values. We apply this continuation to the problem of gauge theories coupled to matter, and propose the distinction of perimeter law versus ``zero law'' to identify confinement. We also apply the continuation to local bosonic models with emergent gauge theories. We show that local gauge invariance is topological and cannot be broken by any local perturbations in the bosonic models in either continuous or discrete gauge groups. We show that the ground-state degeneracy in emergent discrete gauge theories is a robust property of the bosonic model, and we argue that the robustness of local gauge invariance in the continuous case protects the gapless gauge boson.
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Cites
Fault-tolerant quantum computation by anyons
Kitaev, A. Y. (2003) · Annals of Physics · doi:10.1016/s0003-4916(02)00018-0 · Cited by 7,238
Wilson, K. G. (1974) · Physical Review D · doi:10.1103/physrevd.10.2445 · Cited by 4,507
Haldane, F. D. M. (1983) · Physics Letters A · doi:10.1016/0375-9601(83)90631-x · Cited by 2,883
Rigorous results on valence-bond ground states in antiferromagnets
Affleck, I., Kennedy, T., Lieb, E. H., & Tasaki, H. (1987) · Physical Review Letters · doi:10.1103/physrevlett.59.799 · Cited by 2,223
An introduction to lattice gauge theory and spin systems
Kogut, J. B. (1979) · Reviews of Modern Physics · doi:10.1103/revmodphys.51.659 · Cited by 2,029
Valence bond ground states in isotropic quantum antiferromagnets
Affleck, I., Kennedy, T., Lieb, E. H., & Tasaki, H. (1988) · Communications in Mathematical Physics · doi:10.1007/bf01218021 · Cited by 1,477
The finite group velocity of quantum spin systems
Lieb, E. H., & Robinson, D. W. (1972) · Communications in Mathematical Physics · doi:10.1007/bf01645779 · Cited by 1,463
Equivalence of the resonating-valence-bond and fractional quantum Hall states
Kalmeyer, V., & Laughlin, R. B. (1987) · Physical Review Letters · doi:10.1103/physrevlett.59.2095 · Cited by 1,163
TOPOLOGICAL ORDERS IN RIGID STATES
WEN, X. G. (1990) · International Journal of Modern Physics B · doi:10.1142/s0217979290000139 · Cited by 1,115
Self-citationChiral spin states and superconductivity
Wen, X. G., Wilczek, F., & Zee, A. (1989) · Physical Review B · doi:10.1103/physrevb.39.11413 · Cited by 1,096
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Symmetry protected topological orders and the group cohomology of their symmetry group
Chen, X., Gu, Z.-C., Liu, Z.-X., & Wen, X.-G. (2013) · Physical Review B · doi:10.1103/physrevb.87.155114 · Cited by 1,311
Self-citationAn area law for one-dimensional quantum systems
Hastings, M. B. (2007) · Journal of Statistical Mechanics: Theory and Experiment · doi:10.1088/1742-5468/2007/08/p08024 · Cited by 1,131
Self-citationChen, X., Gu, Z.-C., & Wen, X.-G. (2010) · Physical Review B · doi:10.1103/physrevb.82.155138 · Cited by 891
Self-citationProbing topological spin liquids on a programmable quantum simulator
Semeghini, G., Levine, H., Keesling, A., Ebadi, S., Wang, T. T., Bluvstein, D., Verresen, R., Pichler, H., Kalinowski, M., Samajdar, R., et al. (2021) · Science · doi:10.1126/science.abi8794 · Cited by 781
Lieb-Robinson Bounds and the Generation of Correlations and Topological Quantum Order
Bravyi, S., Hastings, M. B., & Verstraete, F. (2006) · Physical Review Letters · doi:10.1103/physrevlett.97.050401 · Cited by 664
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Metadata
- Authors
- Hastings, M. B., & Wen, X.-G.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2005-07-25
- Volume
- 72
- Issue
- 4
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2019139361
- Cited by
- 406
- References
- 35
- FWCI
- 4.10
- Type
- journal article
- Language
- en
- Open access
- green
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- Hastings, M. B., & Wen, X.-G. (2005). Quasiadiabatic continuation of quantum states: The stability of topological ground-state degeneracy and emergent gauge invariance. Physical Review B. https://doi.org/10.1103/physrevb.72.045141
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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