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The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.

Observation of parity–time symmetry in optics

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Rüter, Christian E., Makris, Konstantinos G., El-Ganainy, Ramy, Christodoulides, Demetrios N., Segev, Mordechai, Kip, Detlef·2010·Nature Physics
DOI 10.1038/nphys1515
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Research works printed but not linked: 27

  1. Shankar, R. Principles of Quantum Mechanics (Plenum Press, 1994). · DOI · Paper page
  2. Bender, C. M. & Böttcher, S. Real spectra in non-Hermitian Hamiltonians having PT symmetry. Phys. Rev. Lett. 80, 5243–5246 (1998). · DOI
  3. Bender, C. M., Böttcher, S. & Meisinger, P. N. PT-symmetric quantum mechanics. J. Math. Phys. 40, 2201–2229 (1999). · DOI · Paper page
  4. Bender, C. M. Must a Hamiltonian be Hermitian? Am. J. Phys. 71, 1095–1102 (2003). · DOI · Paper page
  5. Ahmed, Z. Real and complex discrete eigenvalues in an exactly solvable one-dimensional complex PT-invariant potential. Phys. Lett. A 282, 343–348 (2001). · DOI · Paper page
  6. Levai, G. & Znojil, M. Systematic search for PT-symmetric potentials with real spectra. J. Phys. A 33, 7165–7180 (2000). · DOI · Paper page
  7. Klaiman, S., Moiseyev, N. & Günther, U. Visualization of branch points in PT-symmetric waveguides. Phys. Rev. Lett. 101, 080402 (2008). · DOI · Paper page
  8. Bender, C. M., Brody, D. C. & Jones, H. F. Extension of PT-symmetric quantum mechanics to quantum field theory with cubic interaction. Phys. Rev. D 70, 025001 (2004).
  9. Goldsheid, Y. & Khoruzhenko, B. A. Distribution of eigenvalues in non-Hermitian Anderson models. Phys. Rev. Lett. 80, 2897–2900 (1998). · DOI · Paper page
  10. Rotter, I. A non-Hermitian Hamilton operator and the physics of open quantum systems. J. Phys. A 42, 1–51 (2009). · DOI · Paper page
  11. Dembowski, C. et al. Observation of a chiral state in a microwave cavity. Phys. Rev. Lett. 90, 034101 (2003). · DOI · Paper page
  12. El-Ganainy, R., Makris, K. G., Christodoulides, D. N. & Musslimani, Z. H. Theory of coupled optical PT-symmetric structures. Opt. Lett. 32, 2632–2634 (2007). · DOI · Paper page
  13. Makris, K. G., El-Ganainy, R. & Christodoulides, D. N. Beam dynamics in PT-symmetric optical lattices. Phys. Rev. Lett. 100, 103904 (2008). · DOI · Paper page
  14. Musslimani, Z. H., El-Ganainy, R., Makris, K. G. & Christodoulides, D. N. Optical solitons in PT periodic potentials. Phys. Rev. Lett. 100, 030402 (2008). · DOI · Paper page
  15. Mostafazadeh, A. Spectral singularities of complex scattering potentials and infinite reflection and transmission coefficients at real energies. Phys. Rev. Lett. 102, 220402 (2009). · DOI · Paper page
  16. Znojil, M. PT-symmetric square well. Phys. Lett. A 285, 7–10 (2001). · DOI
  17. Ahmed, Z. Schrödinger transmission through one-dimensional complex potentials. Phys. Rev. A 64, 042716 (2001). · doi:10.1103/physreva.64.042716
  18. Mostafazadeh, A. Pseudo-Hermiticity versus PT-symmetry III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetries. J. Math. Phys. 43, 3944–3951 (2002). · DOI · Paper page
  19. Günther, U. & Samsonov, B. F. Naimark-dilated PT-symmetric brachistochrone. Phys. Rev. Lett. 101, 230404 (2008). · DOI
  20. Bendix, O., Fleischmann, R., Kottos, T. & Shapiro, B. Exponentially fragile PT symmetry in lattices with localized eigenmodes. Phys. Rev. Lett. 103, 030402 (2009). · DOI · Paper page
  21. Berry, M. Mode degeneracies and the Petermann excess-noise factor for unstable lasers. J. Mod. Opt. 50, 63–81 (2003). · DOI
  22. Moiseyev, M. & Friedland, S. Association of resonance states with the incomplete spectrum of finite complex-scaled Hamiltonian matrices. Phys. Rev. A 22, 618–624 (1980). · doi:10.1103/physreva.22.618
  23. Guo, A. et al. Observation of PT-symmetry breaking in complex optical potentials. Phys. Rev. Lett. 103, 093902 (2009). · DOI · Paper page
  24. Kip, D. & Krätzig, E. Anisotropic four-wave mixing in planar LiNbO3 optical waveguides. Opt. Lett. 17, 1563–1565 (1992). · doi:10.1364/ol.17.001563
  25. Kip, D. Photorefractive waveguides in oxide crystals: Fabrication, properties, and applications. Appl. Phys. B 67, 131–150 (1998). · DOI · Paper page
  26. Thylen, L., Wright, E. M., Stegeman, G. I., Seaton, C. T. & Moloney, J. V. Beam-propagation method analysis of a nonlinear directional coupler. Opt. Lett. 11, 739–741 (1986). · DOI
  27. Tan, Y. et al. Formation of reconfigurable optical channel waveguides and beam splitters on top of proton-implanted lithium niobate crystals using spatial dark soliton-like structures. J. Phys. D 41, 102001 (2008). · DOI

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Metadata

Authors
Rüter, C. E., Makris, K. G., El-Ganainy, R., Christodoulides, D. N., Segev, M., & Kip, D.
Venue
Nature Physics
Publisher
Springer Science and Business Media LLC
Published
2010-01-24
Volume
6
Issue
3
Pages
192-195
ISSN
  • 1745-2473 (ISSN-L)
  • 1745-2481
DOI
10.1038/nphys1515
OpenAlex
W1531935167
Cited by
3,596
References
2
FWCI
66.53
Type
journal article
Language
en
Open access
bronze
Licence

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CoChat. (2026). Citation check: Observation of parity–time symmetry in optics. https://app.cochat.ai/papers/10.1038/nphys1515
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Rüter, C. E., Makris, K. G., El-Ganainy, R., Christodoulides, D. N., Segev, M., & Kip, D. (2010). Observation of parity–time symmetry in optics. Nature Physics. https://doi.org/10.1038/nphys1515

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