The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.
Topological aspects of photonic time crystals
Open accessAbstract
We introduce topological phases in Photonic Time-Crystals. Photonic Time-Crystals are materials in which the refractive index varies periodically and abruptly in time. When the refractive index changes abruptly, the light propagating in the material experiences time-refraction and time-reflection, analogous to refraction and reflection in photonic crystals. Interference between time-refracted and time-reflected waves gives rise to Floquet-Bloch states and dispersion bands, which are gapped in the momentum. We show that photonic time-crystals can be in a topologically non-trivial phase, and calculate the topological invariant associated with the momentum bands of the Photonic Time-Crystal. The topological invariants are related to the phase between the forward and backward-propagating waves of the time-crystal, and to localized edge states in time.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Quantized Hall Conductance in a Two-Dimensional Periodic Potential
Thouless, D. J., Kohmoto, M., Nightingale, M. P., & den Nijs, M. (1982) · Physical Review Letters · doi:10.1103/physrevlett.49.405 · Cited by 6,973 · cited 1×
“These phases classify the structure of electronic bands of materials [1] and are robust to the presence of disorder or defects.”
BackgroundZ 2 Topological Order and the Quantum Spin Hall Effect
Kane, C. L., & Mele, E. J. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.146802 · Cited by 6,460
Photonic Floquet topological insulators
Rechtsman, M. C., Zeuner, J. M., Plotnik, Y., Lumer, Y., Podolsky, D., Dreisow, F., Nolte, S., Segev, M., & Szameit, A. (2013) · Nature · doi:10.1038/nature12066 · Cited by 3,332
Self-citationObservation of unidirectional backscattering-immune topological electromagnetic states
Wang, Z., Chong, Y., Joannopoulos, J. D., & Soljačić, M. (2009) · Nature · doi:10.1038/nature08293 · Cited by 3,123
Haldane, F. D. M., & Raghu, S. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.013904 · Cited by 2,787
Haldane, F. D. M., & Raghu, S. (2005) · arXiv · doi:10.48550/arxiv.cond-mat/0503588 · Cited by 2,739
Berry’s phase for energy bands in solids
Zak, J. (1989) · Physical Review Letters · doi:10.1103/physrevlett.62.2747 · Cited by 1,950
Topological States and Adiabatic Pumping in Quasicrystals
Kraus, Y. E., Lahini, Y., Ringel, Z., Verbin, M., & Zilberberg, O. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.106402 · Cited by 1,165
Observation of a Topological Transition in the Bulk of a Non-Hermitian System
Zeuner, J. M., Rechtsman, M. C., Plotnik, Y., Lumer, Y., Nolte, S., Rudner, M. S., Segev, M., & Szameit, A. (2015) · Physical Review Letters · doi:10.1103/physrevlett.115.040402 · Cited by 730
Self-citationPhotonic topological boundary pumping as a probe of 4D quantum Hall physics
Zilberberg, O., Huang, S., Guglielmon, J., Wang, M., Chen, K. P., Kraus, Y. E., & Rechtsman, M. C. (2018) · Nature · doi:10.1038/nature25011 · Cited by 533
Cited by
Observation of temporal reflection and broadband frequency translation at photonic time interfaces
Moussa, H., Xu, G., Yin, S., Galiffi, E., Ra’di, Y., & Alù, A. (2023) · Nature Physics · doi:10.1038/s41567-023-01975-y · Cited by 253
Time-Modulated near-Field Radiative Heat Transfer
Yu, R., & Fan, S. (2024) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.2401514121 · Cited by 35
Metadata
- Authors
- Lustig, E., Sharabi, Y., & Segev, M.
- Venue
- Optica
- Publisher
- Optica Publishing Group
- Published
- 2018-10-29
- Volume
- 5
- Issue
- 11
- Pages
- 1390
- ISSN
- 2334-2536 (ISSN-L)
- OpenAlex
- W2792384077
- Cited by
- 350
- References
- 10
- FWCI
- 6.31
- Type
- journal article
- Language
- en
- Open access
- gold
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Topological aspects of photonic time crystals. https://app.cochat.ai/papers/10.1364/optica.5.001390
- The paper
- Lustig, E., Sharabi, Y., & Segev, M. (2018). Topological aspects of photonic time crystals. Optica. https://doi.org/10.1364/optica.5.001390
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
