The DOI matches its Crossref record; 13 of the 13 references it cites were found in a registry or an index.
PT-Symmetry Breaking and Laser-Absorber Modes in Optical Scattering Systems
Open accessAbstract
Using a scattering matrix formalism, we derive the general scattering properties of optical structures that are symmetric under a combination of parity and time reversal (PT). We demonstrate the existence of a transition between PT-symmetric scattering eigenstates, which are norm preserving, and symmetry-broken pairs of eigenstates exhibiting net amplification and loss. The system proposed by Longhi [Phys. Rev. A 82, 031801 (2010).], which can act simultaneously as a laser and coherent perfect absorber, occurs at discrete points in the broken-symmetry phase, when a pole and zero of the S matrix coincide.
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
(1998) · doi:10.1103/physrevlett.80.5243 · Cited by 6,280
Observation of parity–time symmetry in optics
Rüter, C. E., Makris, K. G., El-Ganainy, R., Christodoulides, D. N., Segev, M., & Kip, D. (2010) · Nature Physics · doi:10.1038/nphys1515 · Cited by 3,596
Observation ofPT-Symmetry Breaking in Complex Optical Potentials
Guo, A., Salamo, G. J., Duchesne, D., Morandotti, R., Volatier-Ravat, M., Aimez, V., Siviloglou, G. A., & Christodoulides, D. N. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.093902 · Cited by 2,748
Beam Dynamics inPTSymmetric Optical Lattices
Makris, K. G., El-Ganainy, R., Christodoulides, D. N., & Musslimani, Z. H. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.103904 · Cited by 2,064
Complex Extension of Quantum Mechanics
Bender, C. M., Brody, D. C., & Jones, H. F. (2002) · Physical Review Letters · doi:10.1103/physrevlett.89.270401 · Cited by 1,839
Optical Solitons inPTPeriodic Potentials
Musslimani, Z. H., Makris, K. G., El-Ganainy, R., & Christodoulides, D. N. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.030402 · Cited by 1,339
Coherent Perfect Absorbers: Time-Reversed Lasers
Chong, Y. D., Ge, L., Cao, H., & Stone, A. D. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.053901 · Cited by 1,175
Self-citationLonghi, S. (2010) · Physical Review A · doi:10.1103/physreva.82.031801 · Cited by 950
Potton, R. J. (2004) · Reports on Progress in Physics · doi:10.1088/0034-4885/67/5/r03 · Cited by 625
Makris, K. G., El-Ganainy, R., Christodoulides, D. N., & Musslimani, Z. H. (2010) · Physical Review A · doi:10.1103/physreva.81.063807 · Cited by 330
Cited by
Parity–time synthetic photonic lattices
Regensburger, A., Bersch, C., Miri, M.-A., Onishchukov, G., Christodoulides, D. N., & Peschel, U. (2012) · Nature · doi:10.1038/nature11298 · Cited by 2,019
Parity–time symmetry and exceptional points in photonics
Özdemir, Ş. K., Rotter, S., Nori, F., & Yang, L. (2019) · Nature Materials · doi:10.1038/s41563-019-0304-9 · Cited by 1,773
Parity-time–symmetric microring lasers
Hodaei, H., Miri, M.-A., Heinrich, M., Christodoulides, D. N., & Khajavikhan, M. (2014) · Science · doi:10.1126/science.1258480 · Cited by 1,616
The physics of exceptional points
Heiss, W. D. (2012) · Journal of Physics A: Mathematical and Theoretical · doi:10.1088/1751-8113/45/44/444016 · Cited by 1,438
Symmetry and Topology in Non-Hermitian Physics
Kawabata, K., Shiozaki, K., Ueda, M., & Sato, M. (2019) · Physical Review X · doi:10.1103/physrevx.9.041015 · Cited by 1,357
Metadata
- Authors
- Chong, Y. D., Ge, L., & Stone, A. D.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2011-03-02
- Volume
- 106
- Issue
- 9
- Pages
- 093902-093902
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2004103591
- Cited by
- 980
- References
- 13
- FWCI
- 28.15
- Type
- journal article
- Language
- en
- Open access
- bronze
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: PT-Symmetry Breaking and Laser-Absorber Modes in Optical Scattering Systems. https://app.cochat.ai/papers/10.1103/physrevlett.106.093902
- The paper
- Chong, Y. D., Ge, L., & Stone, A. D. (2011). PT-Symmetry Breaking and Laser-Absorber Modes in Optical Scattering Systems. Physical Review Letters. https://doi.org/10.1103/physrevlett.106.093902
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.
