The DOI matches its Crossref record; 39 of the 39 references it cites were found in a registry or an index.
Entanglement Entropy for the Long-Range Ising Chain in a Transverse Field
Open accessAbstract
We consider the Ising model in a transverse field with long-range antiferromagnetic interactions that decay as a power law with their distance. We study both the phase diagram and the entanglement properties as a function of the exponent of the interaction. The phase diagram can be used as a guide for future experiments with trapped ions. We find two gapped phases, one dominated by the transverse field, exhibiting quasi-long-range order, and one dominated by the long-range interaction, with long-range Néel ordered ground states. We determine the location of the quantum critical points separating those two phases. We determine their critical exponents and central charges. In the phase with quasi-long-range order the ground states exhibit exotic corrections to the area law for the entanglement entropy coexisting with gapped entanglement spectra.
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Cites
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Cited by
Time-evolution methods for matrix-product states
Paeckel, S., Köhler, T., Swoboda, A., Manmana, S. R., Schollwöck, U., & Hubig, C. (2019) · Annals of Physics · doi:10.1016/j.aop.2019.167998 · Cited by 768
Time-evolving a matrix product state with long-ranged interactions
Zaletel, M. P., Mong, R. S. K., Karrasch, C., Moore, J. E., & Pollmann, F. (2015) · Physical Review B · doi:10.1103/physrevb.91.165112 · Cited by 323
Quantum approximate optimization of the long-range Ising model with a trapped-ion quantum simulator
Pagano, G., Bapat, A., Becker, P., Collins, K. S., De, A., Hess, P. W., Kaplan, H. B., Kyprianidis, A., Tan, W. L., Baldwin, C., et al. (2020) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.2006373117 · Cited by 262
Post-matrix product state methods: To tangent space and beyond
Haegeman, J., Osborne, T. J., & Verstraete, F. (2013) · Physical Review B · doi:10.1103/physrevb.88.075133 · Cited by 225
Tangent-space methods for uniform matrix product states
Vanderstraeten, L., Haegeman, J., & Verstraete, F. (2019) · SciPost Physics Lecture Notes · doi:10.21468/scipostphyslectnotes.7 · Cited by 233
“The MPS version of the TDVP [7, 15, 27] has been applied to spin chains [28], gauge theories [29, 30], and spin systems with long-range interactions [27, 31–34].”
Metadata
- Authors
- Koffel, T., Lewenstein, M., & Tagliacozzo, L.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2012-12-26
- Volume
- 109
- Issue
- 26
- Pages
- 267203-267203
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1684976800
- Cited by
- 259
- References
- 39
- FWCI
- 4.98
- Type
- journal article
- Language
- en
- Open access
- green
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